Index of /faculty/kerns/video/STAT3743/092710

STAT 3743 Daily Outline

STAT 3743 Daily Outline

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2010-09-27 Mon

Expectation

Definition

Examples: mean/variance

Properties

  1. E(c)=c
  2. E(cX) = cE(X)
  3. E[g(X)+h(X)] = Eg(X) + Eh(X)

Ex: discrete uniform

Ex: binomial mean (from definition)

Moment generating functions (MGF)

Definition

M(0) = 1

Ex: discrete uniform MGF

Ex: binomial MGF

  • Why do they call it a MGF?

    M'(0) = E(X) etc.

    Ex: binomial mean

    Ex: binomial variance

  • Applications

    Uniqueness theorem

    Ex: binomial MGF

  • Another connection

    Taylor series of f about a

Empirical distribution

Definition

Hypergeometric distribution

Dependent Bernoulli trials

Example

PMF, mean, variance

Example

Author: G. Jay Kerns <gkerns@ysu.edu>

Date: 2010-10-08 15:19:47 EDT

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