Probability and Probability Distributions I & II: Course Outline for Probability and Probability Distributions II (STAT406)
The course covers the transformation techniques which are useful for determining the sampling distribution of statistic.
Course Outline
 Transformation Techniques.
 Derivations of sample mean & variance with their independence.
 Characteristic functions with properties.
 Inversion Theorems for continuous and discrete random variables.
 Convolution of Distributions.
 Properties of Cauchy, Laplace, Weibull, Maxwell, Pareto, Rayleigh and Log normal distributions with applications in various fields.
 Order Statistic.
 Distribution of r^{th} & s^{th} order Statistics.
 Distribution of median.
 Range.
 Midrange and quantiles.
 Central and Noncentral t.
 F and Chisquare distributions.
 Distribution of Quadratic Forms.
 Distributions under linear constraints.
 Truncated Distributions.
Text Book

by Hogg, Robert V.  Joeseph McKean  Allen T. Craig
Edition statement:7th ed.
Published by : Dorling Kindersley Pvt. Ltd (New Delhi)
ISBN: 9789332519114
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by Pleguezuelo, Rafael HerrerĂas
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