On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous Bernoulli trials
Diskretnaya Matematika, Tome 22 (2010) no. 2, pp. 60-65
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We obtain the expression of the statistic which is a linear function of the logarithm of the likelihood function and investigate properties of the mathematical expectation of this function. The results obtained can be applied to the estimation of instants of changes of the success probability in Bernoulli trials.
@article{DM_2010_22_2_a4,
author = {M. I. Tikhomirova and V. P. Chistyakov},
title = {On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous {Bernoulli} trials},
journal = {Diskretnaya Matematika},
pages = {60--65},
publisher = {mathdoc},
volume = {22},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2010_22_2_a4/}
}
TY - JOUR AU - M. I. Tikhomirova AU - V. P. Chistyakov TI - On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous Bernoulli trials JO - Diskretnaya Matematika PY - 2010 SP - 60 EP - 65 VL - 22 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DM_2010_22_2_a4/ LA - ru ID - DM_2010_22_2_a4 ER -
%0 Journal Article %A M. I. Tikhomirova %A V. P. Chistyakov %T On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous Bernoulli trials %J Diskretnaya Matematika %D 2010 %P 60-65 %V 22 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/DM_2010_22_2_a4/ %G ru %F DM_2010_22_2_a4
M. I. Tikhomirova; V. P. Chistyakov. On properties of the likelihood function in the problem of estimation of the instants of changes of the success probability in nonhomogeneous Bernoulli trials. Diskretnaya Matematika, Tome 22 (2010) no. 2, pp. 60-65. http://geodesic.mathdoc.fr/item/DM_2010_22_2_a4/