Weighted estimate of the Monte-Carlo method for calculating the higher moments of the additive transport characteristics of multiplying particles
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 122-134
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A closed Integral representation is given for a moment of an arbitrary order of an arbitrary additive stochastic characteristic of a cascade process involving the transport of particles in a substance. An unbiased non-simulation estimate of the Monte-Carlo method is proposed for calculating such moments on the trajectories of a branching Markov process with discrete time. An example of the efficient use of the estimate is given.
@article{ZVMMF_1990_30_1_a10,
author = {A. V. Lappa},
title = {Weighted estimate of the {Monte-Carlo} method for calculating the higher moments of the additive transport characteristics of multiplying particles},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {122--134},
publisher = {mathdoc},
volume = {30},
number = {1},
year = {1990},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a10/}
}
TY - JOUR AU - A. V. Lappa TI - Weighted estimate of the Monte-Carlo method for calculating the higher moments of the additive transport characteristics of multiplying particles JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 122 EP - 134 VL - 30 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a10/ LA - ru ID - ZVMMF_1990_30_1_a10 ER -
%0 Journal Article %A A. V. Lappa %T Weighted estimate of the Monte-Carlo method for calculating the higher moments of the additive transport characteristics of multiplying particles %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 122-134 %V 30 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a10/ %G ru %F ZVMMF_1990_30_1_a10
A. V. Lappa. Weighted estimate of the Monte-Carlo method for calculating the higher moments of the additive transport characteristics of multiplying particles. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 122-134. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a10/