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b.lect11

# b.lect11 - Outline Some Common Discrete...

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Outline Some Common Discrete Distributions (Continued) Models for Continuous RVs – The Exponential RV Lecture 11 Chapter 3: Random Variables and Their Distributions Michael Akritas Michael Akritas Lecture 11 Chapter 3: Random Variables and Their Distribution

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Outline Some Common Discrete Distributions (Continued) Models for Continuous RVs – The Exponential RV Some Common Discrete Distributions (Continued) The Poisson Random Variable Poisson Approximation to Binomial Probabilities The Poisson process Models for Continuous RVs – The Exponential RV Definition: The pdf and cdf The mean, variance and percentiles No-aging property Michael Akritas Lecture 11 Chapter 3: Random Variables and Their Distribution
Outline Some Common Discrete Distributions (Continued) Models for Continuous RVs – The Exponential RV The Poisson Random Variable Poisson Approximation to Binomial Probabilities The Poisson process Michael Akritas Lecture 11 Chapter 3: Random Variables and Their Distribution

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Outline Some Common Discrete Distributions (Continued) Models for Continuous RVs – The Exponential RV The Poisson Random Variable Poisson Approximation to Binomial Probabilities The Poisson process The number, X , of occurrences of some event in a given time interval (or a given area, or space) is a Poisson random variable if Michael Akritas Lecture 11 Chapter 3: Random Variables and Their Distribution
Outline Some Common Discrete Distributions (Continued) Models for Continuous RVs – The Exponential RV The Poisson Random Variable Poisson Approximation to Binomial Probabilities The Poisson process The number, X , of occurrences of some event in a given time interval (or a given area, or space) is a Poisson random variable if The rate with which events occur remains constant in time (area or space). Michael Akritas Lecture 11 Chapter 3: Random Variables and Their Distribution

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Outline Some Common Discrete Distributions (Continued) Models for Continuous RVs – The Exponential RV The Poisson Random Variable Poisson Approximation to Binomial Probabilities The Poisson process The number, X , of occurrences of some event in a given time interval (or a given area, or space) is a Poisson random variable if The rate with which events occur remains constant in time (area or space). The events under study occur independently Michael Akritas Lecture 11 Chapter 3: Random Variables and Their Distribution
Outline Some Common Discrete Distributions (Continued) Models for Continuous RVs – The Exponential RV The Poisson Random Variable Poisson Approximation to Binomial Probabilities The Poisson process The number, X , of occurrences of some event in a given time interval (or a given area, or space) is a Poisson random variable if The rate with which events occur remains constant in time (area or space).

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