Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part VI, Tome 136 (1984), pp. 162-164
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V. B. Nevzorov. Representation of order statistics based on exponential variables with different scale parameters. Zapiski Nauchnykh Seminarov POMI, Studies in mathematical statistics. Part VI, Tome 136 (1984), pp. 162-164. http://geodesic.mathdoc.fr/item/ZNSL_1984_136_a11/
@article{ZNSL_1984_136_a11,
author = {V. B. Nevzorov},
title = {Representation of order statistics based on exponential variables with different scale parameters},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {162--164},
year = {1984},
volume = {136},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_136_a11/}
}
TY - JOUR
AU - V. B. Nevzorov
TI - Representation of order statistics based on exponential variables with different scale parameters
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1984
SP - 162
EP - 164
VL - 136
UR - http://geodesic.mathdoc.fr/item/ZNSL_1984_136_a11/
LA - ru
ID - ZNSL_1984_136_a11
ER -
%0 Journal Article
%A V. B. Nevzorov
%T Representation of order statistics based on exponential variables with different scale parameters
%J Zapiski Nauchnykh Seminarov POMI
%D 1984
%P 162-164
%V 136
%U http://geodesic.mathdoc.fr/item/ZNSL_1984_136_a11/
%G ru
%F ZNSL_1984_136_a11
Let $X_k(1\leqslant k\leqslant n)$ be independent random variables with distribution functions $F_k(x)=\max\{0,1-e^{-\lambda_kx}\}$, $(\lambda_k>0)$ and $X_{k,n}(1\leqslant k\leqslant n)$ be corresponding order statistics. Somre representations via mixtures of sums of independent exponential variables are obtained for $X_{nk}$ and their linear combinations.
