Matematičeskie zametki, Tome 62 (1997) no. 2, pp. 216-222
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G. I. Ivchenko; S. A. Khonov; E. A. Ivanov. Exact maximum likelihood estimator of the structure of a stratified population. Matematičeskie zametki, Tome 62 (1997) no. 2, pp. 216-222. http://geodesic.mathdoc.fr/item/MZM_1997_62_2_a5/
@article{MZM_1997_62_2_a5,
author = {G. I. Ivchenko and S. A. Khonov and E. A. Ivanov},
title = {Exact maximum likelihood estimator of the structure of a stratified population},
journal = {Matemati\v{c}eskie zametki},
pages = {216--222},
year = {1997},
volume = {62},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1997_62_2_a5/}
}
TY - JOUR
AU - G. I. Ivchenko
AU - S. A. Khonov
AU - E. A. Ivanov
TI - Exact maximum likelihood estimator of the structure of a stratified population
JO - Matematičeskie zametki
PY - 1997
SP - 216
EP - 222
VL - 62
IS - 2
UR - http://geodesic.mathdoc.fr/item/MZM_1997_62_2_a5/
LA - ru
ID - MZM_1997_62_2_a5
ER -
%0 Journal Article
%A G. I. Ivchenko
%A S. A. Khonov
%A E. A. Ivanov
%T Exact maximum likelihood estimator of the structure of a stratified population
%J Matematičeskie zametki
%D 1997
%P 216-222
%V 62
%N 2
%U http://geodesic.mathdoc.fr/item/MZM_1997_62_2_a5/
%G ru
%F MZM_1997_62_2_a5
An exact expression for the extreme values of the integer vector $\overline N=(N_1,\dots,N_k)$ that maximize the function $$ \prod_{j=1}^k\binom{N_j}{l_j} $$ for arbitrary integers $l_1>0,\dots,l_k>0$, $k\ge2$, and a given $N^0=N_1+\dots+N_k$ is derived. Also, statistical applications of the result are discussed.
[1] Ivchenko G. I., Khonov S. A., “Maximum likelihood estimation for a stratified finite population”, Math. Methods Statist., 3:4 (1994), 346–361 | MR | Zbl
[2] Ivchenko G. I., Khonov S. A., “Statisticheskoe otsenivanie sostava konechnoi sovokupnosti”, Diskretnaya matem., 8:1 (1996), 3–40 | MR
