On the distinction between the Poisson and Polya distributions when a~large number of small samples is available
Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 364-367
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In the paper we consider the problem of the distinction between the Poisson and Polya distributions when a large number of small samples of different size is available. We use a conditional test when a value of the sufficient statistic is given. For near alternatives the asymptotic power of the test is investigated. We give an expression for the number of observations necessary for the distinction between the hypotheses with the prescribed errors of the first and second type.
@article{TVP_1965_10_2_a13,
author = {I. N. Volodin},
title = {On the distinction between the {Poisson} and {Polya} distributions when a~large number of small samples is available},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {364--367},
publisher = {mathdoc},
volume = {10},
number = {2},
year = {1965},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a13/}
}
TY - JOUR AU - I. N. Volodin TI - On the distinction between the Poisson and Polya distributions when a~large number of small samples is available JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1965 SP - 364 EP - 367 VL - 10 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a13/ LA - ru ID - TVP_1965_10_2_a13 ER -
%0 Journal Article %A I. N. Volodin %T On the distinction between the Poisson and Polya distributions when a~large number of small samples is available %J Teoriâ veroâtnostej i ee primeneniâ %D 1965 %P 364-367 %V 10 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a13/ %G ru %F TVP_1965_10_2_a13
I. N. Volodin. On the distinction between the Poisson and Polya distributions when a~large number of small samples is available. Teoriâ veroâtnostej i ee primeneniâ, Tome 10 (1965) no. 2, pp. 364-367. http://geodesic.mathdoc.fr/item/TVP_1965_10_2_a13/