Exact maximum likelihood estimator of the structure of a stratified population
Matematičeskie zametki, Tome 62 (1997) no. 2, pp. 216-222
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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.
@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 -
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/