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Relations between statistics for testing exponentiality and uniformity
Author(s) -
Currie Iain D.,
Stephens Michael A.
Publication year - 1986
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3314662
Subject(s) - statistic , mathematics , statistics , statistical hypothesis testing , test statistic , distribution (mathematics) , sufficient statistic , exponential distribution , statistical physics , mathematical analysis , physics
It is shown that Greenwood's statistic for uniformity and the Hahn‐Shapiro and Stephens statistics for exponentiality with known origin are equivalent. It is also shown that the distribution of the Shapiro‐Wilk statistic for testing the hypothesis of exponentiality with unknown origin is obtainable from the distribution of Greenwood's statistic.