Normalizing constants for a statistic based on logarithms of disjoint m-spacings
Applicationes Mathematicae, Tome 23 (1996) no. 4, pp. 405-416
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
The paper is concerned with the asymptotic normality of a certain statistic based on the logarithms of disjoint m-spacings. The exact and asymptotic mean and variance 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].
DOI :
10.4064/am-23-4-405-416
Keywords:
asymptotic normality, higher-order spacings, step density function
Affiliations des auteurs :
Franciszek Czekała 1
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author = {Franciszek Czeka{\l}a},
title = {Normalizing constants for a statistic based on logarithms of disjoint m-spacings},
journal = {Applicationes Mathematicae},
pages = {405--416},
year = {1996},
volume = {23},
number = {4},
doi = {10.4064/am-23-4-405-416},
zbl = {0843.62018},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am-23-4-405-416/}
}
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Franciszek Czekała. Normalizing constants for a statistic based on logarithms of disjoint m-spacings. Applicationes Mathematicae, Tome 23 (1996) no. 4, pp. 405-416. doi: 10.4064/am-23-4-405-416
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