Rukhin's uniformity test based on sample quantiles
The problem of testing if a given probability distribution fits to a set of independent and identically distributed observations is usually treated by categorizing the data range. Discretization can be done by means of relative frequencies or by using sample quantiles. In this article, quantile-based test statistics are proposed to test the hypothesis of uniformity in the interval (0, 1). Exact critical values of the family of Rukhin's statistics are estimated. A Monte Carlo simulation experiment is carried out to calculate powers of these tests in different alternatives. Results obtained from each kind of categorization are compared to give several recommendations about the use of Rukhin's statistics and type of categorization.
Keywords: Order statistics; Quantiles; Simulation; Testing goodness-of-fit; The family of Rukhin's statistics
Document Type: Research Article
Affiliations: Department of Statistics and O.R. Complutense University of Madrid Madrid Spain
Publication date: 01 March 2005
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