Geodesic
Normalizing constants for a statistic based on logarithms of disjoint m-spacings
Applicationes Mathematicae, Tome 23 (1996) no. 4, pp. 405-416.

Voir la notice de l'article provenant de 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

Franciszek Czekała 1

1 
@article{10_4064_am_23_4_405_416,
     author = {Franciszek Czeka{\l}a},
     title = {Normalizing constants for a statistic based on logarithms of disjoint m-spacings},
     journal = {Applicationes Mathematicae},
     pages = {405--416},
     publisher = {mathdoc},
     volume = {23},
     number = {4},
     year = {1996},
     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/}
}
TY  - JOUR
AU  - Franciszek Czekała
TI  - Normalizing constants for a statistic based on logarithms of disjoint m-spacings
JO  - Applicationes Mathematicae
PY  - 1996
SP  - 405
EP  - 416
VL  - 23
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/am-23-4-405-416/
DO  - 10.4064/am-23-4-405-416
LA  - en
ID  - 10_4064_am_23_4_405_416
ER  - 
%0 Journal Article
%A Franciszek Czekała
%T Normalizing constants for a statistic based on logarithms of disjoint m-spacings
%J Applicationes Mathematicae
%D 1996
%P 405-416
%V 23
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/am-23-4-405-416/
%R 10.4064/am-23-4-405-416
%G en
%F 10_4064_am_23_4_405_416
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. http://geodesic.mathdoc.fr/articles/10.4064/am-23-4-405-416/

Cité par Sources :