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Published byAustin Bell Modified over 9 years ago
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IE 300, Fall 2012 Richard Sowers IESE
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8/30/2012 Goals: Rules of Probability Counting Equally likely Some examples
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9/4/2012 Goals Conditional Probability Model-building
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9/6/2012 Independence – Definition – Model-building – Examples
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9/11/2012 Bayes’ Rule – Implicit conditional probabilities Random variables (if possible)
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9/13/2012 Discrete random variables – Examples Uniform Geometric Binomial Bernoulli – Probability mass functions Expectations
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9/27/2012 Expectations and variances – Direct computations – Moment generating functions (not in book)
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9/18/2012 Expectations – Means – Variances – Moment generating functions Several random variables – Binomial – Geometric – Bernoulli – Poisson – Uniform
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9/20/2012 Review
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9/28/2012 Expectations and Variances – Bernoulli – Binomial – Law of large numbers
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10/2/2012 Moment generating function – Bernoulli – Binomial – Geometric – Negative Binomial – Poisson Begin continuous random variables
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10/4/2012 Continuous random variables Properties of densities Exponential random variables
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10/9/2012 Poisson connection to exponential random variables Gaussian random variables
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10/11/2012 Gaussian random variables Limit theorems
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10/18/2012 Joint random variables Joint probability mass function Conditioning Marginals
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10/23/2012 More joint random variables Joint probability mass function Conditioning Marginals
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11/1/2012 More on transformations of random variables Joint Gaussians
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11/6/2012 Statistical analysis of data Sample mean, sample variance, population variance Histograms and frequency plots
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11/13/2012 Estimation of parameters – Bernoulli – Exponential – Gaussian
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11/15/2012 Hypothesis testing (9-5)
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