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Ordered Random Variables

Acta Applicandae Mathematica, 1999
The aim of this paper is to show how the classical results for sums of independent terms can be applied for ordered random variables. There are discussed methods that enable to express the distributions of ordered random variables (i.e. classical order statistics, induced order statistics, record times and record values, and generalized order ...
Nevzorova, Ludmila, Nevzorov, Valery
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Random Variable Techniques

1976
In some parts of statistical inference it is customary to speak entirely in random variable terms, as in the analysis of variance. One considers his job finished when he writes the ratio of two independently distributed chi-square random variables, the denominator a central chi-square.
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Random Variables: Distributions

1999
We will now consider not the probability of observing particular events but rather the events themselves and try to find a particularly simple way of classifying them. We can, for instance, associate the event “heads” with the number 0 and the event “tails” with the number 1.
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