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Electrical Engineering and Computer Science (M-I-T)
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Introduction to Probability (Spring 2018) (M-I-T)
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Part I: The Fundamentals (M-I-T)
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Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
(12 Lectures Available)
S#
Lecture
Course
Institute
Instructor
Discipline
1
L13.10 Mean of the Sum of a Random Number of Random Variables (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
2
L13.11 Variance of the Sum of a Random Number of Random Variables (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
3
L13.1 Lecture Overview (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
4
L13.2 Conditional Expectation as a Random Variable (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
5
L13.3 The Law of Iterated Expectations (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
6
L13.4 Stick-Breaking Revisited (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
7
L13.5 Forecast Revisions (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
8
L13.6 The Conditional Variance (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
9
L13.7 Derivation of the Law of Total Variance (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
10
L13.8 A Simple Example (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
11
L13.9 Section Means and Variances (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
Applied Sciences
12
S13.1 Conditional Expectation Properties (M-I-T)
Lecture 13: Conditional Expectation & Variance Revisited; Sum of a Random Number of Independent R.V.s (M-I-T)
MIT
Prof. John Tsitsiklis, Prof. Patrick Jaillet
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