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The Extinction of a Branching Process in a Varying or Random Environment

2011
A sufficient condition and a necessary condition for extinction of BPVE are given. Then a splitting statistical regularity of individual in every generation of BPRE is given. In the last example, the speed of extinction of BPRE is contrasted with that of BPVE.
Yangli Hu, Wei Hu, Yue Yin
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Statistics of Voltage Processes in Random Environment

ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering, 2021
Abstract A method is developed to characterize the performance of voltage processes X(t) harvested from primary-absorber dynamical systems subjected to Gaussian forcing functions. The method is based on properties of the Slepian model of X(t) and Monte Carlo simulation.
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Asymptotic properties of supercritical branching processes in random environments

Frontiers of Mathematics in China, 2014
Yingqiu Li   +3 more
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Superposition of renewal processes in a random environment

Statistics & Probability Letters, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multitype branching processes in random environments

Journal of Applied Probability, 1971
Edward W. Weissner
semanticscholar   +1 more source

Subcritical Branching Processes in Random Environment

2016
This paper is a survey of some recent results on the asymptotics of the survival probability, limit theorems conditioned on survival or attaining a high level of single-type subcritical branching processes in independent and identically distributed random environments.
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