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Invidious > Channel > BOFFIN ASTRO TAM / ENGLISH

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YT 9 minutes 28 seconds MIT OpenCourseWare S01.10 Bonferroni's Inequality YT 8 minutes 44 seconds MIT OpenCourseWare L26.8 Mean First Passage Time YT 4 minutes 38 seconds MIT OpenCourseWare L13.5 Forecast Revisions

YT 6 minutes 21 seconds MIT OpenCourseWare L21.3 Stochastic Processes YT 2 minutes 54 seconds MIT OpenCourseWare L19.4 Illustration of the CLT YT 2 minutes 7 seconds MIT OpenCourseWare L02.1 Lecture Overview

YT 9 minutes 13 seconds MIT OpenCourseWare L25.7 Steady-State Probabilities and Convergence YT 10 minutes 36 seconds MIT OpenCourseWare L04.9 Multinomial Probabilities YT 11 minutes 12 seconds MIT OpenCourseWare L04.2 The Counting Principle

YT 5 minutes 13 seconds MIT OpenCourseWare L01.7 A Discrete Example YT 9 minutes 15 seconds MIT OpenCourseWare L10.10 Detection of a Binary Signal YT 2 minutes 46 seconds MIT OpenCourseWare L03.5 Conditional Independence

YT 1 minute 50 seconds MIT OpenCourseWare L19.1 Lecture Overview YT 1 minute 50 seconds MIT OpenCourseWare L07.1 Lecture Overview YT 3 minutes 8 seconds MIT OpenCourseWare L09.3 Conditioning Example

YT 6 minutes 58 seconds MIT OpenCourseWare L19.2 The Central Limit Theorem YT 10 minutes 5 seconds MIT OpenCourseWare S01.7 About the Order of Summation in Series with Multiple Indices YT 4 minutes 6 seconds MIT OpenCourseWare L05.5 Uniform Random Variables

YT 8 minutes 9 seconds MIT OpenCourseWare L08.6 Exponential Random Variables YT 9 minutes 37 seconds MIT OpenCourseWare S23.2 Poisson Arrivals During an Exponential Interval YT 1 minute 25 seconds MIT OpenCourseWare S01.0 Mathematical Background Overview

YT 9 minutes 24 seconds MIT OpenCourseWare L16.3 LMS Estimation of One Random Variable Based on Another YT 1 minute 33 seconds MIT OpenCourseWare L09.1 Lecture Overview YT 3 minutes 48 seconds MIT OpenCourseWare L01.10 Interpretations & Uses of Probabilities

YT 7 minutes 3 seconds MIT OpenCourseWare L17.9 The Representation of the Data Matters in LLMS YT 4 minutes 34 seconds MIT OpenCourseWare L10.3 Comments on Conditional PDFs YT 6 minutes 15 seconds MIT OpenCourseWare L25.3 Markov Chain Review

YT 11 minutes 5 seconds MIT OpenCourseWare L01.5 Simple Properties of Probabilities YT 4 minutes 7 seconds MIT OpenCourseWare S01.6 The Geometric Series YT 11 minutes 24 seconds MIT OpenCourseWare L26.9 Gambler's Ruin

YT 9 minutes MIT OpenCourseWare L02.2 Conditional Probabilities YT 6 minutes 32 seconds MIT OpenCourseWare L20.9 Maximum Likelihood Estimation YT 10 minutes 59 seconds MIT OpenCourseWare L02.5 A Radar Example and Three Basic Tools

YT 8 minutes 25 seconds MIT OpenCourseWare L06.8 Linearity of Expectations & The Mean of the Binomial YT 9 minutes 58 seconds MIT OpenCourseWare L26.6 Absorption Probabilities YT 3 minutes 7 seconds MIT OpenCourseWare L22.6 A Simple Example

YT 6 minutes 54 seconds MIT OpenCourseWare L17.7 LLMS with Multiple Observations YT 1 minute 59 seconds MIT OpenCourseWare L24.1 Lecture Overview YT 7 minutes 59 seconds MIT OpenCourseWare L03.2 A Coin Tossing Example

YT 1 minute 40 seconds MIT OpenCourseWare L25.1 Brief Introduction (RES.6-012 Introduction to Probability) YT 4 minutes 27 seconds MIT OpenCourseWare L20.6 Confidence Intervals for the Estimation of the Mean YT 12 minutes 10 seconds MIT OpenCourseWare L01.9 Countable Additivity

YT 10 minutes 2 seconds MIT OpenCourseWare L10.6 Stick-Breaking Example YT 8 minutes 55 seconds MIT OpenCourseWare L01.4 Probability Axioms YT 4 minutes 28 seconds MIT OpenCourseWare L02.8 Bayes' Rule

YT 5 minutes 32 seconds MIT OpenCourseWare L24.7 Generic Convergence Questions YT 2 minutes 46 seconds MIT OpenCourseWare S01.4 When Does a Sequence Converge YT 5 minutes 10 seconds MIT OpenCourseWare L13.11 Variance of the Sum of a Random Number of Random Variables

YT 18 minutes 28 seconds MIT OpenCourseWare S18.3 Hoeffding's Inequality YT 6 minutes 44 seconds MIT OpenCourseWare L18.8 Related Topics YT 1 minute 57 seconds MIT OpenCourseWare L18.1 Lecture Overview

YT 11 minutes 29 seconds MIT OpenCourseWare L17.6 LLMS for Inferring the Parameter of a Coin YT 5 minutes 17 seconds MIT OpenCourseWare L10.4 Total Probability & Total Expectation Theorems YT 6 minutes 29 seconds MIT OpenCourseWare L13.8 A Simple Example

YT 5 minutes 17 seconds MIT OpenCourseWare L14.2 Overview of Some Application Domains YT 1 minute 39 seconds MIT OpenCourseWare L23.1 Lecture Overview YT 10 minutes 13 seconds MIT OpenCourseWare S18.1 Convergence in Probability of the Sum of Two Random Variables

YT 8 minutes 18 seconds MIT OpenCourseWare L09.4 Memorylessness of the Exponential PDF YT 8 minutes 2 seconds MIT OpenCourseWare L17.4 Remarks on the LLMS Solution and on the Error Variance YT 6 minutes 57 seconds MIT OpenCourseWare L08.4 Means & Variances

YT 4 minutes 16 seconds MIT OpenCourseWare L21.6 Example: The Distribution of a Busy Period YT 12 minutes 48 seconds MIT OpenCourseWare L08.7 Cumulative Distribution Functions YT 12 minutes 35 seconds MIT OpenCourseWare S11.1 Simulation

YT 3 minutes 59 seconds MIT OpenCourseWare L05.11 Linearity of Expectations YT 8 minutes 13 seconds MIT OpenCourseWare S13.1 Conditional Expectation Properties YT 11 minutes 48 seconds MIT OpenCourseWare L04.6 A Coin Tossing Example

YT 9 minutes 48 seconds MIT OpenCourseWare L14.4 The Bayesian Inference Framework YT 6 minutes 38 seconds MIT OpenCourseWare L04.5 Binomial Probabilities YT 11 minutes 26 seconds MIT OpenCourseWare L21.5 The Fresh Start Property

YT 11 minutes 18 seconds MIT OpenCourseWare L11.3 A Linear Function of a Continuous Random Variable YT 6 minutes 39 seconds MIT OpenCourseWare L25.4 The Probability of a Path YT 7 minutes 52 seconds MIT OpenCourseWare L12.2 The Sum of Independent Discrete Random Variables

YT 11 minutes 9 seconds MIT OpenCourseWare L08.2 Probability Density Functions YT 7 minutes 31 seconds MIT OpenCourseWare L06.4 Conditional PMFs & Expectations Given an Event YT 8 minutes 40 seconds MIT OpenCourseWare L06.3 The Variance of the Bernoulli & The Uniform

YT 10 minutes 55 seconds MIT OpenCourseWare S01.1 Sets YT 3 minutes 58 seconds MIT OpenCourseWare L13.3 The Law of Iterated Expectations YT 8 minutes 33 seconds MIT OpenCourseWare L10.9 Mixed Bayes Rule

YT 9 minutes 14 seconds MIT OpenCourseWare L08.8 Normal Random Variables YT 5 minutes 28 seconds MIT OpenCourseWare L11.7 The Intuition for the Monotonic Case YT 5 minutes 59 seconds MIT OpenCourseWare L16.8 Properties of the LMS Estimation Error

YT 9 minutes 4 seconds MIT OpenCourseWare L13.9 Section Means and Variances YT 4 minutes 44 seconds MIT OpenCourseWare L07.5 Example YT 3 minutes 59 seconds MIT OpenCourseWare L23.9 Different Sampling Methods can Give Different Results

YT 16 minutes 12 seconds MIT OpenCourseWare S09.1 Buffon's Needle & Monte Carlo Simulation YT 4 minutes 32 seconds MIT OpenCourseWare L16.4 LMS Performance Evaluation YT 13 minutes 2 seconds MIT OpenCourseWare L15.5 The Mean Squared Error

YT 9 minutes MIT OpenCourseWare L19.3 Discussion of the CLT YT 5 minutes 36 seconds MIT OpenCourseWare L12.7 The Variance of the Sum of Random Variables YT 5 minutes 54 seconds MIT OpenCourseWare L12.5 Covariance

YT 10 minutes 11 seconds MIT OpenCourseWare L08.9 Calculation of Normal Probabilities YT 1 minute 40 seconds MIT OpenCourseWare L05.1 Lecture Overview YT 5 minutes 8 seconds MIT OpenCourseWare L07.4 Independence of Random Variables

YT 5 minutes 50 seconds MIT OpenCourseWare L12.10 Interpreting the Correlation Coefficient YT 9 minutes 45 seconds MIT OpenCourseWare L04.8 Each Person Gets An Ace YT 13 minutes 47 seconds MIT OpenCourseWare L15.4 The Case of Multiple Observations

YT 2 minutes 59 seconds MIT OpenCourseWare L03.4 Independence of Event Complements YT 2 minutes 9 seconds MIT OpenCourseWare L24.2 Introduction to Markov Processes YT 6 minutes 51 seconds MIT OpenCourseWare S07.3 Independence of Random Variables Versus Independence of Events

YT 4 minutes 12 seconds MIT OpenCourseWare L05.9 Elementary Properties of Expectation YT 2 minutes 20 seconds MIT OpenCourseWare L21.4 Review of Known Properties of the Bernoulli Process YT 8 minutes 57 seconds MIT OpenCourseWare L25.11 Birth-Death Processes - Part II

YT 6 minutes 28 seconds MIT OpenCourseWare L06.5 Total Expectation Theorem YT 3 minutes 6 seconds MIT OpenCourseWare L05.4 Bernoulli & Indicator Random Variables YT 7 minutes 12 seconds MIT OpenCourseWare L21.8 Merging of Bernoulli Processes

YT 2 minutes 1 second MIT OpenCourseWare L21.1 Lecture Overview YT 4 minutes 16 seconds MIT OpenCourseWare L09.10 Joint CDFs YT 7 minutes 3 seconds MIT OpenCourseWare L12.8 The Correlation Coefficient

YT 3 minutes 35 seconds MIT OpenCourseWare L10.5 Independence YT 5 minutes 30 seconds MIT OpenCourseWare L03.6 Independence Versus Conditional Independence YT 2 minutes 46 seconds MIT OpenCourseWare L20.1 Lecture Overview

YT 7 minutes 15 seconds MIT OpenCourseWare L15.2 Recognizing Normal PDFs YT 3 minutes 3 seconds MIT OpenCourseWare L22.3 Applications of the Poisson Process YT 4 minutes 39 seconds MIT OpenCourseWare L04.3 Die Roll Example

YT 1 minute 27 seconds MIT OpenCourseWare L03.1 Lecture Overview YT 10 minutes 29 seconds MIT OpenCourseWare L06.6 Geometric PMF Memorylessness & Expectation YT 5 minutes 20 seconds MIT OpenCourseWare L01.8 A Continuous Example

YT 7 minutes 45 seconds MIT OpenCourseWare L02.4 Conditional Probabilities Obey the Same Axioms YT 16 minutes 9 seconds MIT OpenCourseWare L07.8 The Hat Problem YT 3 minutes 26 seconds MIT OpenCourseWare L25.5 Recurrent and Transient States: Review

YT 10 minutes 48 seconds MIT OpenCourseWare L07.2 Conditional PMFs YT 6 minutes 42 seconds MIT OpenCourseWare L11.2 The PMF of a Function of a Discrete Random Variable YT 6 minutes 51 seconds MIT OpenCourseWare L09.5 Total Probability & Expectation Theorems

YT 1 minute 13 seconds MIT OpenCourseWare L16.1 Lecture Overview YT 14 minutes 8 seconds MIT OpenCourseWare L22.10 An Example YT 4 minutes 35 seconds MIT OpenCourseWare L14.6 Discrete Parameter, Continuous Observation

YT 6 minutes MIT OpenCourseWare L03.7 Independence of a Collection of Events YT 9 minutes 18 seconds MIT OpenCourseWare L09.7 Joint PDFs YT 5 minutes 4 seconds MIT OpenCourseWare L20.5 Confidence Intervals

YT 4 minutes 22 seconds MIT OpenCourseWare L07.6 Independence & Expectations YT 5 minutes 48 seconds MIT OpenCourseWare L12.6 Covariance Properties YT 11 minutes 7 seconds MIT OpenCourseWare L11.6 The Monotonic Case

YT 1 minute 31 seconds MIT OpenCourseWare L22.1 Lecture Overview YT 10 minutes 59 seconds MIT OpenCourseWare L24.5 N-Step Transition Probabilities YT 6 minutes 31 seconds MIT OpenCourseWare L16.5 Example: The LMS Estimate

YT 6 minutes 49 seconds MIT OpenCourseWare L25.6 Periodic States YT 8 minutes 40 seconds MIT OpenCourseWare L01.6 More Properties of Probabilities YT 8 minutes 8 seconds MIT OpenCourseWare S05.1 Supplement: Functions

YT 7 minutes 9 seconds MIT OpenCourseWare L07.7 Independence, Variances & the Binomial Variance YT 5 minutes 41 seconds MIT OpenCourseWare L14.10 Summary YT 2 minutes 10 seconds MIT OpenCourseWare L14.1 Lecture Overview

YT 8 minutes 56 seconds MIT OpenCourseWare L25.10 Birth-Death Processes - Part I YT 3 minutes 27 seconds MIT OpenCourseWare L10.8 Bayes Rule Variations YT 1 minute 41 seconds MIT OpenCourseWare L26.1 Brief Introduction (RES.6-012 Introduction to Probability)

YT 1 minute 52 seconds MIT OpenCourseWare L11.1 Lecture Overview YT 6 minutes 46 seconds MIT OpenCourseWare L14.5 Discrete Parameter, Discrete Observation YT 8 minutes 5 seconds MIT OpenCourseWare L18.7 Convergence in Probability Examples

YT 5 minutes 6 seconds MIT OpenCourseWare L17.8 The Simplest LLMS Example with Multiple Observations YT 4 minutes 36 seconds MIT OpenCourseWare L23.8 Random Incidence in a Non-Poisson Process YT 10 minutes 43 seconds MIT OpenCourseWare L06.2 Variance

YT 8 minutes 35 seconds MIT OpenCourseWare L03.8 Independence Versus Pairwise Independence YT 5 minutes 2 seconds MIT OpenCourseWare L02.3 A Die Roll Example YT 8 minutes 22 seconds MIT OpenCourseWare L23.3 Merging Independent Poisson Processes

YT 4 minutes 2 seconds MIT OpenCourseWare S01.9 Proof That a Set of Real Numbers is Uncountable YT 3 minutes 10 seconds MIT OpenCourseWare L12.4 The Sum of Independent Normal Random Variables YT 9 minutes 47 seconds MIT OpenCourseWare L11.5 The PDF of a General Function

YT 4 minutes 58 seconds MIT OpenCourseWare L17.2 LLMS Formulation YT 10 minutes 38 seconds MIT OpenCourseWare L05.8 Expectation YT 5 minutes 2 seconds MIT OpenCourseWare L13.6 The Conditional Variance

YT 5 minutes 35 seconds MIT OpenCourseWare L09.6 Mixed Random Variables YT 3 minutes 58 seconds MIT OpenCourseWare L25.8 A Numerical Example - Part II YT 3 minutes 56 seconds MIT OpenCourseWare L08.5 Mean & Variance of the Uniform

YT 1 minute 40 seconds MIT OpenCourseWare L09.9 Continuous Analogs of Various Properties YT 7 minutes 31 seconds MIT OpenCourseWare L18.4 The Weak Law of Large Numbers YT 7 minutes 23 seconds MIT OpenCourseWare L09.8 From The Joint to the Marginal

YT 6 minutes 48 seconds MIT OpenCourseWare L16.2 LMS Estimation in the Absence of Observations YT 6 minutes 53 seconds MIT OpenCourseWare L20.4 On the Mean Squared Error of an Estimator YT 11 minutes 53 seconds MIT OpenCourseWare L19.6 Normal Approximation to the Binomial

YT 5 minutes 24 seconds MIT OpenCourseWare L16.7 LMS Estimation with Multiple Observations or Unknowns YT 2 minutes 52 seconds MIT OpenCourseWare L08.3 Uniform & Piecewise Constant PDFs YT 4 minutes 21 seconds MIT OpenCourseWare L21.2 The Bernoulli Process

YT 4 minutes 58 seconds MIT OpenCourseWare L20.3 The Sample Mean and Some Terminology YT 11 minutes 30 seconds MIT OpenCourseWare L26.7 Expected Time to Absorption YT 3 minutes 11 seconds MIT OpenCourseWare S01.5 Infinite Series

YT 8 minutes 12 seconds MIT OpenCourseWare L21.7 The Time of the K-th Arrival YT 9 minutes 26 seconds MIT OpenCourseWare L24.6 A Numerical Example - Part I YT 5 minutes 6 seconds MIT OpenCourseWare L23.6 Splitting a Poisson Process

YT 13 minutes 54 seconds MIT OpenCourseWare L19.7 Polling Revisited YT 6 minutes 54 seconds MIT OpenCourseWare L03.10 The King's Sibling YT 9 minutes 56 seconds MIT OpenCourseWare L09.2 Conditioning A Continuous Random Variable on an Event

YT 6 minutes 8 seconds MIT OpenCourseWare L05.6 Binomial Random Variables YT 4 minutes 54 seconds MIT OpenCourseWare L13.7 Derivation of the Law of Total Variance YT 1 minute 42 seconds MIT OpenCourseWare L10.1 Lecture Overview

YT 10 minutes 8 seconds MIT OpenCourseWare L04.4 Combinations YT 9 minutes 30 seconds MIT OpenCourseWare L14.9 Inferring the Unknown Bias of a Coin - Point Estimates YT 5 minutes 6 seconds MIT OpenCourseWare L17.3 Solution to the LLMS Problem

YT 10 minutes MIT OpenCourseWare L05.10 The Expected Value Rule YT 6 minutes MIT OpenCourseWare S01.3 Sequences and their Limits YT 1 minute 41 seconds MIT OpenCourseWare L17.1 Lecture Overview

YT 9 minutes 12 seconds MIT OpenCourseWare L26.3 Review of Steady-State Behavior YT 10 minutes 21 seconds MIT OpenCourseWare L05.3 Probability Mass Functions YT 5 minutes 42 seconds MIT OpenCourseWare S07.2 The Variance of the Geometric

YT 8 minutes 1 second MIT OpenCourseWare L22.4 The Poisson PMF for the Number of Arrivals YT 5 minutes 25 seconds MIT OpenCourseWare L02.7 Total Probability Theorem YT 10 minutes 33 seconds MIT OpenCourseWare L22.8 The Fresh Start Property and Its Implications

YT 3 minutes 52 seconds MIT OpenCourseWare L12.9 Proof of Key Properties of the Correlation Coefficient YT 6 minutes 26 seconds MIT OpenCourseWare L13.10 Mean of the Sum of a Random Number of Random Variables YT 10 minutes 55 seconds MIT OpenCourseWare L15.8 Trajectory Estimation Illustration

YT 7 minutes 37 seconds MIT OpenCourseWare L05.7 Geometric Random Variables YT 6 minutes MIT OpenCourseWare L10.11 Inference of the Bias of a Coin