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.
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     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/}
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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/