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Session 1.2: Stories from the Field: Methane Leaks40:23251
Session 4.2: Fixing the Carbon Footprint22:26275
Session 2.2: Methane Leak Measurement Hackathon20:17139
Session 2.1: More About Methane Leaks13:80247
L01.1 Lecture Overview1:529,266
S01.10 Bonferroni's Inequality9:28897
L26.8 Mean First Passage Time8:44521
L13.5 Forecast Revisions4:38220
L21.3 Stochastic Processes6:21646
L19.4 Illustration of the CLT2:54194
L02.1 Lecture Overview2:70465
L25.7 Steady-State Probabilities and Convergence9:13165
L04.9 Multinomial Probabilities10:36291
L04.2 The Counting Principle11:12307
L01.7 A Discrete Example5:13858
L10.10 Detection of a Binary Signal9:15207
L03.5 Conditional Independence2:46312
S18.2 Jensen's Inequality12:192,129
L17.5 LLMS Example6:43128
L07.1 Lecture Overview1:50195
L09.3 Conditioning Example3:80110
L19.2 The Central Limit Theorem6:58273
S01.7 About the Order of Summation in Series with Multiple Indices10:50384
L05.5 Uniform Random Variables4:60226
L08.6 Exponential Random Variables8:90175
S23.2 Poisson Arrivals During an Exponential Interval9:37103
S01.0 Mathematical Background Overview1:25573
L20.8 Other Natural Estimators4:3743
L16.3 LMS Estimation of One Random Variable Based on Another9:2476
L09.1 Lecture Overview1:33126
L01.10 Interpretations & Uses of Probabilities3:48535
L17.9 The Representation of the Data Matters in LLMS7:3051
L10.3 Comments on Conditional PDFs4:34215
L25.3 Markov Chain Review6:15136
L01.5 Simple Properties of Probabilities11:501,001
S01.6 The Geometric Series4:70340
L01.2 Sample Space5:382,796
L26.9 Gambler's Ruin11:24164
L02.2 Conditional Probabilities9:00451
L20.9 Maximum Likelihood Estimation6:3273
L02.5 A Radar Example and Three Basic Tools10:59267
L06.8 Linearity of Expectations & The Mean of the Binomial8:25142
L26.4 A Numerical Example - Part III10:3549
L26.6 Absorption Probabilities9:5863
L22.6 A Simple Example3:7049
L17.7 LLMS with Multiple Observations6:5437
L24.1 Lecture Overview1:59113
L03.2 A Coin Tossing Example8:00286
L25.1 Brief Introduction1:4095
L20.6 Confidence Intervals for the Estimation of the Mean4:2796
L01.9 Countable Additivity12:10654
L10.6 Stick-Breaking Example10:2092
L01.4 Probability Axioms8:551,279
L02.8 Bayes' Rule4:28340
L24.7 Generic Convergence Questions5:3263
S01.4 When Does a Sequence Converge2:46324
L13.11 Variance of the Sum of a Random Number of Random Variables5:1061
S18.3 Hoeffding's Inequality18:28202
L18.8 Related Topics6:4447
L18.1 Lecture Overview1:5763
L17.6 LLMS for Inferring the Parameter of a Coin11:2945
L10.4 Total Probability & Total Expectation Theorems5:1786
L13.8 A Simple Example6:2962
L14.2 Overview of Some Application Domains5:1782
L23.1 Lecture Overview1:3946
S18.1 Convergence in Probability of the Sum of Two Random Variables10:1386
L09.4 Memorylessness of the Exponential PDF8:1892
L17.4 Remarks on the LLMS Solution and on the Error Variance8:2037
L08.4 Means & Variances6:57125
L21.6 Example: The Distribution of a Busy Period4:1651
L08.7 Cumulative Distribution Functions12:48123
S11.1 Simulation12:3585
L05.11 Linearity of Expectations3:59140
S13.1 Conditional Expectation Properties8:1359
L04.6 A Coin Tossing Example11:48182
L14.4 The Bayesian Inference Framework9:48117
L04.5 Binomial Probabilities6:38210
L21.5 The Fresh Start Property11:2655
L11.3 A Linear Function of a Continuous Random Variable11:1883
L25.4 The Probability of a Path6:4062
L12.2 The Sum of Independent Discrete Random Variables7:5282
L08.2 Probability Density Functions11:90147
L06.4 Conditional PMFs & Expectations Given an Event7:31140
L06.3 The Variance of the Bernoulli & The Uniform8:40149
S01.1 Sets10:55475
L13.3 The Law of Iterated Expectations3:5896
L10.9 Mixed Bayes Rule8:3365
L08.8 Normal Random Variables9:14120
L11.7 The Intuition for the Monotonic Case5:2849
L16.8 Properties of the LMS Estimation Error5:5946
L13.9 Section Means and Variances9:4045
L07.5 Example4:4498
L23.9 Different Sampling Methods can Give Different Results3:5929
S09.1 Buffon's Needle & Monte Carlo Simulation16:12124
L16.4 LMS Performance Evaluation4:3241
L15.5 The Mean Squared Error13:2047
L19.3 Discussion of the CLT9:0085
L12.7 The Variance of the Sum of Random Variables5:3686
L12.5 Covariance5:5491
L08.9 Calculation of Normal Probabilities10:11106



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