Annotation
Poisson distribution is derived from gamma-distribution. The passage to the limit for sufficiently large values of parameter to normal distribution is proved without using Stirling's formula. Results are illustrated on the example of Brownian particle motion.
Received: 2019 June 27
Approved: 2019 December 16
PACS:
02.50.-r Probability theory, stochastic processes, and statistics
05.40.Jc Brownian motion
05.40.Jc Brownian motion
© 2016 Publisher M.V.Lomonosov Moscow State University
Authors
O. A. Chichigina, V. M. Petnikova
$^1$Department of General Physics and Wave Processes, Faculty of Physics, M.V.Lomonosov Moscow State University
$^1$Department of General Physics and Wave Processes, Faculty of Physics, M.V.Lomonosov Moscow State University
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