This paper is concerned with the properties of two statistics based on the logarithms of disjoint m-spacings. The asymptotic normality is established in an elementary way and exact and asymptotic means and variances are computed in the case of uniform distribution on the interval [0,1]. This result is generalized to the case when the sample is drawn from a distribution with positive step density on [0,1]. Bahadur approximate efficiency of tests based on those statistics is found for such alternatives.
@article{bwmeta1.element.bwnjournal-article-zmv25i3p359bwm,
author = {Franciszek Czeka\l a},
title = {On two tests based on disjoint m-spacings},
journal = {Applicationes Mathematicae},
volume = {25},
year = {1998},
pages = {359-373},
zbl = {1051.62509},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv25i3p359bwm}
}
Czekała, Franciszek. On two tests based on disjoint m-spacings. Applicationes Mathematicae, Tome 25 (1998) pp. 359-373. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv25i3p359bwm/
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