Index of /~tallpik3/caption/RES6012Prob
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Last modified
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Description
Parent Directory
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072622t/
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L01.1 Lecture Overview-1uW3qMFA9Ho.en.vtt
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L01.2 Sample Space-iQ2edOqEQAs.en.vtt
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L01.3 Sample Space Examples-__T3eJtjoic.en.vtt
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L01.4 Probability Axioms-pA83XtLeVig.en.vtt
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L01.5 Simple Properties of Probabilities-WTyLg_I1oFY.en.vtt
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L01.6 More Properties of Probabilities-N3I2ZLbh6zQ.en.vtt
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L01.7 A Discrete Example-AsSQdpZdP8U.en.vtt
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L01.8 A Continuous Example-NbYB0fiHoCs.en.vtt
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L01.9 Countable Additivity-mUxg3j_h5GM.en.vtt
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L01.10 Interpretations & Uses of Probabilities-uGGTX2ypzKI.en.vtt
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L02.1 Lecture Overview-B5y6fy5iUtg.en.vtt
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L02.2 Conditional Probabilities-MPRKc4UPoJk.en.vtt
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L02.3 A Die Roll Example-YenDB3yOfDc.en.vtt
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L02.4 Conditional Probabilities Obey the Same Axioms-L_pEeYLGaP0.en.vtt
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L02.5 A Radar Example and Three Basic Tools-uL31gpFdarc.en.vtt
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L02.6 The Multiplication Rule-ugzs7dgQ-JE.en.vtt
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L02.7 Total Probability Theorem-8odFouBR2wE.en.vtt
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L02.8 Bayes' Rule-kz2tvO_ZAKI.en.vtt
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L03.1 Lecture Overview-QXKgTPR_8wk.en.vtt
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L03.2 A Coin Tossing Example-rZKUmNvCjis.en.vtt
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L03.3 Independence of Two Events-w423ypsUHf0.en.vtt
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L03.5 Conditional Independence-7B3cDe39lwY.en.vtt
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L03.6 Independence Versus Conditional Independence-TAyA-rjmesQ.en.vtt
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L03.7 Independence of a Collection of Events-UbQcqFH33G0.en.vtt
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L03.8 Independence Versus Pairwise Independence-aJXfyfQs2Mc.en.vtt
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L03.9 Reliability-UDkq_cLVSmc.en.vtt
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L03.10 The King's Sibling-iPWyElxtk-8.en.vtt
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L04.1 Lecture Overview-poeHeiiiLKI.en.vtt
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L04.2 The Counting Principle--k8WU-KB0rk.en.vtt
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L04.3 Die Roll Example-KrjZyCRi29o.en.vtt
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L04.4 Combinations-o_qO7RYBF10.en.vtt
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L04.5 Binomial Probabilities-8llkkbCPHb4.en.vtt
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L04.6 A Coin Tossing Example-2f9EfEga4Oo.en.vtt
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L04.7 Partitions-hJjiCrdsNV8.en.vtt
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L04.8 Each Person Gets An Ace-IC-pnm6PEGk.en.vtt
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L04.9 Multinomial Probabilities-5A_H1eHbOCY.en.vtt
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L05.1 Lecture Overview-ArfHGPHL8kU.en.vtt
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L05.2 Definition of Random Variables-vfqPpai_9jI.en.vtt
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L05.3 Probability Mass Functions-zW1_iugJvF0.en.vtt
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L05.4 Bernoulli & Indicator Random Variables-J8L9kRGSvSY.en.vtt
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L05.5 Uniform Random Variables-JoQDJMZA7F8.en.vtt
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L05.6 Binomial Random Variables-jOC4ATKBWlI.en.vtt
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L05.7 Geometric Random Variables-whbKmwMmB4s.en.vtt
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L05.8 Expectation-_yJsO5955ZE.en.vtt
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L05.9 Elementary Properties of Expectation-GARQ31BrKQA.en.vtt
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L05.10 The Expected Value Rule-gB5TCCfF6e4.en.vtt
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L05.11 Linearity of Expectations-0IJFBMIU6x4.en.vtt
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L06.1 Lecture Overview-n9FTM9f9A6I.en.vtt
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L06.2 Variance-ZWo1XgAQE5k.en.vtt
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L06.3 The Variance of the Bernoulli & The Uniform-7_livg-uaVs.en.vtt
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L06.4 Conditional PMFs & Expectations Given an Event-2_KBeHiUDiY.en.vtt
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L06.5 Total Expectation Theorem-GnEyIawrWBg.en.vtt
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L06.6 Geometric PMF Memorylessness & Expectation-MuqLI4otMIQ.en.vtt
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L06.7 Joint PMFs and the Expected Value Rule-7nu97OYx4X4.en.vtt
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L06.8 Linearity of Expectations & The Mean of the Binomial-TbRh71BMJvw.en.vtt
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L07.1 Lecture Overview-17Z89x_ZWQ4.en.vtt
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L07.2 Conditional PMFs-T_Q3M_HV94w.en.vtt
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L07.3 Conditional Expectation & the Total Expectation Theorem-vJAG4EzSQZA.en.vtt
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L07.5 Example-JsEvwRGa1JA.en.vtt
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L07.6 Independence & Expectations-R4nGGs0m7lo.en.vtt
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L07.7 Independence, Variances & the Binomial Variance-YQ26hzI4OJk.en.vtt
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L07.8 The Hat Problem-Kycmb2IwV-Y.en.vtt
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L08.1 Lecture Overview-eXf2Zak-s0o.en.vtt
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L08.2 Probability Density Functions-8QFpZ3FndBc.en.vtt
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L08.3 Uniform & Piecewise Constant PDFs-jPB9zI8F7rE.en.vtt
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L08.4 Means & Variances-wOmfOJyxZ6M.en.vtt
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L08.5 Mean & Variance of the Uniform-bXmDp8R8n8U.en.vtt
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L08.6 Exponential Random Variables-FOFtMqCxZt0.en.vtt
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L08.7 Cumulative Distribution Functions-4QeL1ma_XJ0.en.vtt
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L08.8 Normal Random Variables-6UMv4vb4y7c.en.vtt
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L08.9 Calculation of Normal Probabilities-DrBIORgOzSA.en.vtt
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L09.1 Lecture Overview-G11r4Srh4u8.en.vtt
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L09.2 Conditioning A Continuous Random Variable on an Event-mHj4A1gh_ws.en.vtt
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L09.3 Conditioning Example-5CHUuMZZzSY.en.vtt
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L09.4 Memorylessness of the Exponential PDF-3kxnPEDecIA.en.vtt
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L09.5 Total Probability & Expectation Theorems-Mv8tuMBQk-g.en.vtt
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L09.6 Mixed Random Variables-VJhDWandNwc.en.vtt
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L09.7 Joint PDFs-O4QYcoxuLHE.en.vtt
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L09.8 From The Joint to the Marginal-h8DKVKfWU_Q.en.vtt
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L09.9 Continuous Analogs of Various Properties-WFMTus20mz4.en.vtt
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L09.10 Joint CDFs-AVVbUKstn8A.en.vtt
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L10.1 Lecture Overview-nQukfQgIIqw.en.vtt
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L10.2 Conditional PDFs-Kj6iEzXsFkI.en.vtt
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L10.3 Comments on Conditional PDFs-mKcWk_DmS7M.en.vtt
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L10.4 Total Probability & Total Expectation Theorems-0cD-tcITuck.en.vtt
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L10.5 Independence-JCQnsPggTp8.en.vtt
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L10.6 Stick-Breaking Example-aXFbBcabaQA.en.vtt
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L10.7 Independent Normals-qOQxeYGOIag.en.vtt
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L10.8 Bayes Rule Variations-WSrVCCBOeg4.en.vtt
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L10.9 Mixed Bayes Rule-363JQxFwLXg.en.vtt
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L10.10 Detection of a Binary Signal-27d9Gew3llM.en.vtt
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L10.11 Inference of the Bias of a Coin-wnts35dE1Sg.en.vtt
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L11.1 Lecture Overview-d5mV88S2fNY.en.vtt
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L11.2 The PMF of a Function of a Discrete Random Variable-NRnAuKxx6XA.en.vtt
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L11.3 A Linear Function of a Continuous Random Variable-11iF2ovjKOg.en.vtt
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L11.4 A Linear Function of a Normal Random Variable-eFDU7t6Jxzc.en.vtt
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L11.5 The PDF of a General Function-X-AzW70e2M0.en.vtt
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L11.6 The Monotonic Case-PaI-oaOBHKU.en.vtt
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L11.7 The Intuition for the Monotonic Case-zM39sZL9oGE.en.vtt
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L11.8 A Nonmonotonic Example-uFx7fWujWsU.en.vtt
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L11.9 The PDF of a Function of Multiple Random Variables-X-krLprDrOI.en.vtt
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L12.1 Lecture Overview-wBnlmQR5Vhk.en.vtt
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L12.2 The Sum of Independent Discrete Random Variables-zbu8KQx9bqM.en.vtt
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L12.3 The Sum of Independent Continuous Random Variables-d2M4LNSeIn4.en.vtt
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L12.5 Covariance-K2Tlj27nkjs.en.vtt
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L12.6 Covariance Properties-RQKJBpaCCeo.en.vtt
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L12.7 The Variance of the Sum of Random Variables-GH7dwoXSD0s.en.vtt
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L12.8 The Correlation Coefficient-HTs6Zhc2S1M.en.vtt
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L12.9 Proof of Key Properties of the Correlation Coefficient-uxVRfj60z98.en.vtt
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L12.10 Interpreting the Correlation Coefficient-J3aMHIajtFc.en.vtt
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L12.11 Correlations Matter-6-gN0dDHU-4.en.vtt
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L13.1 Lecture Overview-zc6PfijY8_s.en.vtt
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L13.2 Conditional Expectation as a Random Variable-strrrdJivco.en.vtt
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L13.4 Stick-Breaking Revisited-LVfIS8pBI6Y.en.vtt
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L13.5 Forecast Revisions--T34yGp4T7A.en.vtt
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L13.6 The Conditional Variance-X04gTpC7wAs.en.vtt
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L13.7 Derivation of the Law of Total Variance-mHonq7Gjjqg.en.vtt
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L13.8 A Simple Example--0pzpXHq_io.en.vtt
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L13.9 Section Means and Variances-BjjkSM1Dasg.en.vtt
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L13.10 Mean of the Sum of a Random Number of Random Variables-xdewLsXI_UQ.en.vtt
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L13.11 Variance of the Sum of a Random Number of Random Variables-SgM16HNeC3o.en.vtt
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L14.1 Lecture Overview-aNLEnFtWwhg.en.vtt
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L14.2 Overview of Some Application Domains-z1lAn4GMaFs.en.vtt
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L14.3 Types of Inference Problems-v5fOm80VAnc.en.vtt
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L14.4 The Bayesian Inference Framework-0w_4QcvBYII.en.vtt
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L14.5 Discrete Parameter, Discrete Observation-aYg2je06Cpg.en.vtt
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L14.6 Discrete Parameter, Continuous Observation-OlKmZj2TKnk.en.vtt
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L14.8 Inferring the Unknown Bias of a Coin and the Beta Distribution-46Ym07yKf4A.en.vtt
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L14.9 Inferring the Unknown Bias of a Coin - Point Estimates-gJSPef9zC0c.en.vtt
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L14.10 Summary-_hDfZF64wic.en.vtt
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L15.1 Lecture Overview-FMrYw7sgyxQ.en.vtt
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L15.2 Recognizing Normal PDFs-RgGFvOpcQXY.en.vtt
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L15.3 Estimating a Normal Random Variable in the Presence of Additive Noise-qgICsL7ybWc.en.vtt
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L15.4 The Case of Multiple Observations-FT0ptFu6dVA.en.vtt
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L15.5 The Mean Squared Error-CipR1Jypkz0.en.vtt
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L15.6 Multiple Parameters; Trajectory Estimation-rFUb1nvh3CQ.en.vtt
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L15.7 Linear Normal Models-qinepPxDUcY.en.vtt
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L15.8 Trajectory Estimation Illustration-wTKRruMNOHw.en.vtt
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L16.1 Lecture Overview-MlsVWPWIxHI.en.vtt
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L16.2 LMS Estimation in the Absence of Observations-gH_OmTJ9vQs.en.vtt
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L16.3 LMS Estimation of One Random Variable Based on Another-1R4IzkWSNgI.en.vtt
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L16.4 LMS Performance Evaluation-CdrVM6MGnGo.en.vtt
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L16.5 Example - The LMS Estimate-O-dyKz5dpeY.en.vtt
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L16.6 Example Continued - LMS Performance Evaluation-tpaE_C8rqf8.en.vtt
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L16.7 LMS Estimation with Multiple Observations or Unknowns-jzhFxJflHXQ.en.vtt
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L16.8 Properties of the LMS Estimation Error-BlO3xyeaZME.en.vtt
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L17.1 Lecture Overview-kwbDWPrPfQI.en.vtt
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L17.2 LLMS Formulation-_HL7qwWvON4.en.vtt
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L17.3 Solution to the LLMS Problem-k9f0N3ADvdM.en.vtt
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L17.4 Remarks on the LLMS Solution and on the Error Variance-yqdcK6-9kv8.en.vtt
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L17.5 LLMS Example-KPF8owESMdo.en.vtt
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L17.6 LLMS for Inferring the Parameter of a Coin-4CkWjk40TBY.en.vtt
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L17.7 LLMS with Multiple Observations-ipSdsosGJBs.en.vtt
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L17.8 The Simplest LLMS Example with Multiple Observations-byGWKoOc6EM.en.vtt
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L17.9 The Representation of the Data Matters in LLMS-f_BHF-OYwr4.en.vtt
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L18.1 Lecture Overview-sD0i6bWxmRY.en.vtt
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L18.2 The Markov Inequality-vjYanZ1nsZg.en.vtt
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L18.4 The Weak Law of Large Numbers-Yh5bR7X3ch8.en.vtt
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L18.5 Polling-uQTFiXQR4PQ.en.vtt
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L18.6 Convergence in Probability-Ajar_6MAOLw.en.vtt
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L18.7 Convergence in Probability Examples-_l9y2Kv8VHw.en.vtt
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L18.8 Related Topics-iBqEF1cB7nE.en.vtt
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L19.1 Lecture Overview-Hmm9IqosCv4.en.vtt
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L19.2 The Central Limit Theorem-IrKUM3nNXJE.en.vtt
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L19.3 Discussion of the CLT-Cw2Lz5I3wk0.en.vtt
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L19.4 Illustration of the CLT-Bj3sA7vGpYo.en.vtt
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L19.5 CLT Examples-pd7dvQBqQqY.en.vtt
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L19.6 Normal Approximation to the Binomial-fBfMIVXc_OM.en.vtt
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L19.7 Polling Revisited-mxpC3MEiATQ.en.vtt
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L20.1 Lecture Overview-P5rZKt3SgNM.en.vtt
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L20.2 Overview of the Classical Statistical Framework-fMHJPEcoC08.en.vtt
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L20.3 The Sample Mean and Some Terminology-nuXDb9B3y0M.en.vtt
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L20.4 On the Mean Squared Error of an Estimator-lET4uQLpmM0.en.vtt
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L20.5 Confidence Intervals-NInNhFm046w.en.vtt
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L20.6 Confidence Intervals for the Estimation of the Mean-mImHCY0A3a0.en.vtt
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L20.7 Confidence Intervals for the Mean, When the Variance is Unknown-MzvRQFYUEFU.en.vtt
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L20.8 Other Natural Estimators-8Zq9TKaCV-A.en.vtt
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L20.9 Maximum Likelihood Estimation-ZgCBmERwZlI.en.vtt
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L20.10 Maximum Likelihood Estimation Examples-00krscK7iBA.en.vtt
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L21.1 Lecture Overview-HDvYPl8D8Bs.en.vtt
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L21.2 The Bernoulli Process-lmHjUxi2EH4.en.vtt
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L21.3 Stochastic Processes-JYI5xKlH_MU.en.vtt
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L21.4 Review of Known Properties of the Bernoulli Process-GwOklYjwHDI.en.vtt
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L21.5 The Fresh Start Property-xi_iT9Rh434.en.vtt
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L21.6 Example - The Distribution of a Busy Period-5kdv3r-YgK0.en.vtt
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L21.7 The Time of the K-th Arrival-m-enGdJ-j8s.en.vtt
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L21.8 Merging of Bernoulli Processes-AyCLokHV774.en.vtt
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L21.9 Splitting a Bernoulli Process-ozbtgvLKAqE.en.vtt
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L21.10 The Poisson Approximation to the Binomial-fZ0bbrbNq58.en.vtt
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L22.1 Lecture Overview-RVc5hXzVFc4.en.vtt
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L22.2 Definition of the Poisson Process-D_EGYzqmapc.en.vtt
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L22.3 Applications of the Poisson Process-PJExYLw0qtc.en.vtt
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L22.4 The Poisson PMF for the Number of Arrivals-tzW5jlfEvwU.en.vtt
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L22.5 The Mean and Variance of the Number of Arrivals-2JoRO8Cydtc.en.vtt
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L22.6 A Simple Example-LJuVb-sxzoo.en.vtt
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L22.7 Time of the K-th Arrival-6stYmO_N7LI.en.vtt
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L22.8 The Fresh Start Property and Its Implications-r_rzDNLODQw.en.vtt
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L22.9 Summary of Results-jXf5Sz7V87I.en.vtt
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L22.10 An Example-MvGuBQZZuLM.en.vtt
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L23.1 Lecture Overview-7wqaa4uqwao.en.vtt
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9.2K
L23.2 The Sum of Independent Poisson Random Variables-_IX_9ajyOxI.en.vtt
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L23.3 Merging Independent Poisson Processes-XWKXOUvqC-U.en.vtt
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L23.4 Where is an Arrival of the Merged Process Coming From-mgAhDIdbUK8.en.vtt
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L23.5 The Time Until the First (or last) Lightbulb Burns Out-xDN5Onmu0mk.en.vtt
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L23.6 Splitting a Poisson Process-eV0kTm1h7mQ.en.vtt
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L23.7 Random Incidence in the Poisson Process-sG3_Bveu_cA.en.vtt
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L23.8 Random Incidence in a Non-Poisson Process-aS1o7uTaLF0.en.vtt
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L23.9 Different Sampling Methods can Give Different Results-GkD5tIgc-Bo.en.vtt
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L24.1 Lecture Overview-LBiYeL4qD2M.en.vtt
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12K
L24.2 Introduction to Markov Processes-K-ck5dOsPgQ.en.vtt
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L24.3 Checkout Counter Example-VCyJGp6Enxg.en.vtt
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L24.4 Discrete-Time Finite-State Markov Chains-hsQnmrHbbms.en.vtt
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L24.5 N-Step Transition Probabilities-UwwqPwp16_0.en.vtt
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L24.6 A Numerical Example - Part I-l6YYHaV1aGc.en.vtt
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L24.7 Generic Convergence Questions-h2w1tTTltrU.en.vtt
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L24.8 Recurrent and Transient States-wSQaYn2h-e8.en.vtt
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L25.1 Brief Introduction (RES.6-012 Introduction to Probability)-N61FzRr2so0.en.vtt
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L25.2 Lecture Overview-uviHu6m_YnM.en.vtt
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6.7K
L25.3 Markov Chain Review-cph71QcwHeQ.en.vtt
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L25.4 The Probability of a Path-8QyQSZQ4uKQ.en.vtt
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L25.5 Recurrent and Transient States - Review-UcKhhEc_LyQ.en.vtt
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L25.6 Periodic States-TWedESDFcLQ.en.vtt
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L25.7 Steady-State Probabilities and Convergence-99yuPxvdfP8.en.vtt
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L25.8 A Numerical Example - Part II-cQtCpJyl77o.en.vtt
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L25.9 Visit Frequency Interpretation of Steady-State Probabilities-c-BLp-585aU.en.vtt
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L25.10 Birth-Death Processes - Part I-XKYpKYspe1w.en.vtt
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L25.11 Birth-Death Processes - Part II-KdAsNQVdaNk.en.vtt
2022-07-27 15:08
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L26.1 Brief Introduction (RES.6-012 Introduction to Probability)-Xa6-qJvZkUg.en.vtt
2022-07-27 15:08
11K
L26.2 Lecture Overview-UZOT_ddWpco.en.vtt
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3.8K
L26.3 Review of Steady-State Behavior-rRwWYRh8Ypg.en.vtt
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L26.4 A Numerical Example - Part III-XsowwurOvH0.en.vtt
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L26.5 Design of a Phone System-85le_VkEK5A.en.vtt
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L26.6 Absorption Probabilities-vEsUsaK1HBk.en.vtt
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L26.7 Expected Time to Absorption-iUF135CGTeI.en.vtt
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L26.8 Mean First Passage Time-BW_EHmZf2pM.en.vtt
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L26.9 Gambler's Ruin-Ne2lmAZI4-I.en.vtt
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S01.0 Mathematical Background Overview--630YTQEuCI.en.vtt
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8.8K
S01.1 Sets-47W1ApSRUqs.en.vtt
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S01.2 De Morgan's Laws-pdR9hV8mRWE.en.vtt
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S01.3 Sequences and their Limits-kuhlfBPQPq0.en.vtt
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S01.4 When Does a Sequence Converge-Lgacew5BjDI.en.vtt
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S01.5 Infinite Series-nYe4OZVCnIs.en.vtt
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S01.6 The Geometric Series-cCmWW7Hu43A.en.vtt
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S01.7 About the Order of Summation in Series with Multiple Indices-9QJt03983Gg.en.vtt
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S01.8 Countable and Uncountable Sets-MqocbJ-FPo0.en.vtt
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S01.9 Proof That a Set of Real Numbers is Uncountable-YIZd23zGV3M.en.vtt
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S01.10 Bonferroni's Inequality-0xuRh3dz_Nc.en.vtt
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S05.1 Supplement - Functions-Xwd4ABlO0Dc.en.vtt
2022-07-27 14:24
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S07.1 The Inclusion-Exclusion Formula-WXIU2tK4qtc.en.vtt
2022-07-27 14:25
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S07.2 The Variance of the Geometric-sSWHT2kbkvc.en.vtt
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S07.3 Independence of Random Variables Versus Independence of Events-GOmLwHaa8Ik.en.vtt
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S09.1 Buffon's Needle & Monte Carlo Simulation-KSrPJe7y9oA.en.vtt
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S11.1 Simulation-yvHu34mEXzk.en.vtt
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S13.1 Conditional Expectation Properties-2BttG14vI7c.en.vtt
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S14.1 The Beta Formula-8yaRt24qA1M.en.vtt
2022-07-27 15:00
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S18.1 Convergence in Probability of the Sum of Two Random Variables-AH5jnR3RxJU.en.vtt
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S18.2 Jensen's Inequality-GDJFLfmyb20.en.vtt
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S18.3 Hoeffding's Inequality-MWcO8ZTOQQQ.en.vtt
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S23.1 Poisson Versus Normal Approximations to the Binomial-t_EcSVTWmwk.en.vtt
2022-07-27 15:07
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S23.2 Poisson Arrivals During an Exponential Interval-3vMZtGUdTVw.en.vtt
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list.vid.srt.cmd.txt
2022-07-27 14:21
24K