Displaying similar documents to “Evaluating improvements of records”

Simple random walk and rank order statistics

Igor Očka (1977)

Aplikace matematiky

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The distributions of rank order statistics are studied for the case of arbitrary sample sizes in the two sample problem. The method applied is a generalization of Dwass's method from his paper in Ann. Math. Statist. 38 (1967), based on the analogy of rank order statistics and functions on a simple random walk.

Testing a tolerance hypothesis by means of an information distance

František Rublík (1990)

Aplikace matematiky

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In the paper a test of the hypothesis μ + c σ M , μ - c σ m on parameters of the normal distribution is presented, and explicit formulas for critical regions are derived for finite sample sizes. Asymptotic null distribution of the test statistic is investigated under the assumption, that the true distribution possesses the fourth moment.