MIT RES.6-012 Introduction to Probability, Spring 2018 (English) (Part 6)

   Thursday, December 12, 2024   

Starting a new Lecture Notes Series on MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015

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MIT RES.9-003 Brains, Minds and Machines Summer Course, Summer 2015 By Lecture Notes together!

Lecture 226: L22.9 Summary of Results

Lecture 227: L22.10 An Example

Lecture 228: L23.1 Lecture Overview

Lecture 229: L23.2 The Sum of Independent Poisson Random Variables

Lecture 230: L23.3 Merging Independent Poisson Processes

Lecture 231: L23.4 Where is an Arrival of the Merged Process Coming From?

Lecture 232: L23.5 The Time Until the First (or last) Lightbulb Burns Out

Lecture 233: L23.6 Splitting a Poisson Process

Lecture 234: L23.7 Random Incidence in the Poisson Process

Lecture 235: L23.8 Random Incidence in a Non-Poisson Process

Lecture 236: L23.9 Different Sampling Methods can Give Different Results

Lecture 237: S23.1 Poisson Versus Normal Approximations to the Binomial

Lecture 238: S23.2 Poisson Arrivals During an Exponential Interval

Lecture 239: L24.1 Lecture Overview

Lecture 240: L24.2 Introduction to Markov Processes

Lecture 241: L24.3 Checkout Counter Example

Lecture 242: L24.4 Discrete-Time Finite-State Markov Chains

Lecture 243: L24.5 N-Step Transition Probabilities

Lecture 244: L24.6 A Numerical Example - Part I

Lecture 245: L24.7 Generic Convergence Questions

Lecture 246: L24.8 Recurrent and Transient States

Lecture 247: L25.1 Brief Introduction (RES.6-012 Introduction to Probability)

Lecture 248: L25.2 Lecture Overview

Lecture 249: L25.3 Markov Chain Review

Lecture 250: L25.4 The Probability of a Path

Lecture 251: L25.5 Recurrent and Transient States: Review

Lecture 252: L25.6 Periodic States

Lecture 253: L25.7 Steady-State Probabilities and Convergence

Lecture 254: L25.8 A Numerical Example - Part II

Lecture 255: L25.9 Visit Frequency Interpretation of Steady-State Probabilities

Lecture 256: L25.10 Birth-Death Processes - Part I

Lecture 257: L25.11 Birth-Death Processes - Part II

Lecture 258: L26.1 Brief Introduction (RES.6-012 Introduction to Probability)

Lecture 259: L26.2 Lecture Overview

Lecture 260: L26.3 Review of Steady-State Behavior

Lecture 261: L26.4 A Numerical Example - Part III

Lecture 262: L26.5 Design of a Phone System

Lecture 263: L26.6 Absorption Probabilities

Lecture 264: L26.7 Expected Time to Absorption

Lecture 265: L26.8 Mean First Passage Time

Lecture 266: L26.9 Gambler's Ruin