Geodesic
On two tests based on disjoint m-spacings
Applicationes Mathematicae, Tome 25 (1999) no. 3, pp. 359-373.

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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.
DOI : 10.4064/am-25-3-359-373
Keywords: step densities, disjoint m-spacings, limit distributions, Bahadur approximate efficiency

Franciszek Czekała 1

1 
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Franciszek Czekała. On two tests based on disjoint m-spacings. Applicationes Mathematicae, Tome 25 (1999) no. 3, pp. 359-373. doi : 10.4064/am-25-3-359-373. http://geodesic.mathdoc.fr/articles/10.4064/am-25-3-359-373/

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