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Uniform Distribution

  This is the simplest distribution of a continuous random variable and has the following properties of the probability density function:

It has two parameters: one can take the mean (b+a)/2 and the width (b-a) or the boundaries a and b. The parameters are estimated by taking a sample and forming the following estimators:

Simple (but biased) estimators of a and b are, of course, and


Rudolf K. Bock, 7 April 1998