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A Test to Identify the Uniform Distribution, with Applications to Probability Plotting and Other Distributions

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2 Author(s)
Cheng, Smiley W. ; Professor; Department of Statistics; University of Manitoba; Winnipeg, Manitoba, R3T 2N2 CANADA. ; Spiring, F.A.

A test and its empirical distribution (n > 4) has been developed to examine whether a set of sample results arise from a population which possesses a uniform distribution. The test statistic is easy to calculate and lends itself nicely to probability-plot analyses. The test statistic applies the concept of the Shapiro-Wilk W-test to the uniform distribution. The result allows one to examine distributional assumptions regarding any continuous distribution and thus provides practitioners, currently using traditional Chi-Square techniques, with a less subjective testing procedure.

Published in:
Reliability, IEEE Transactions on  (Volume:R-36 ,  Issue: 1 )

Date of Publication: April 1987

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