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Probability Inequalities for Weighted Branching Processes in Random Environments
Advances in Applied Mathematicslish a related probability inequality using Markov’s inequality. This result can be used to investigate population dynamics and probabilistic characteristics, contributing to a deeper understanding of the essence of weighted branching models in random ...
聪 彭
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On Multitype Branching Processes in a Random Environment
Journal of Mathematical Sciences, 2002For a critical multitype Galton-Watson process in an i.i.d. random environment the probability of extinction at time \(T\) is shown to be of order \(T^{-3/2}\) as \(T\to\infty\). This generalizes a result of \textit{V. A. Vatutin} and the author [Discrete Math. Appl. 7, No. 5, 469-496 (1997); translation from Diskretn. Mat. 9, No. 4, 100-126 (1997; Zbl
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Bisexual Galton-Watson Branching Processes in Random Environments
Acta Mathematicae Applicatae Sinica, 2006Shixia Ma
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Mathematical methods in the applied sciences, 2020
This paper establishes a stochastic differential equation system with both positive and negative jumps and proves the existence and uniqueness of the strong solution and presents an equivalent condition for ergodicity of the solution. The strong solution
Yuming Qin, Xiangqi Zheng
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This paper establishes a stochastic differential equation system with both positive and negative jumps and proves the existence and uniqueness of the strong solution and presents an equivalent condition for ergodicity of the solution. The strong solution
Yuming Qin, Xiangqi Zheng
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A Critical Branching Process in Random Environment
Theory of Probability & Its Applications, 1991See the review in Zbl 0713.60088.
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On Spatially Homogeneous Branching Processes in a Random Environment
Mathematische Nachrichten, 1983Infinitely many particles are situated in the d-dimensional lattice space \(Z^ d\). Their splitting is influenced by a random environment \(\omega =\{f_ x:x\in Z^ d\}\) which is a family of random critical offspring generating functions. Given \(\omega\), a particle at position x in \(Z^ d\) produces a random number of offspring according to \(f_ x ...
Dawson, Donald, Fleischmann, Klaus
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Random environment integer‐valued autoregressive process
Journal of Time Series Analysis, 2015An r states random environment integer‐valued autoregressive process of order 1, RrINAR(1), is introduced. Also, a random environment process is separately defined as a selection mechanism of differently parameterized geometric distributions, thus ensuring the non‐stationary nature of the RrNGINAR(1) model based on the negative binomial thinning.
Nastić, Aleksandar S. +2 more
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Homogenization of Ornstein-Uhlenbeck Process in Random Environment
Communications in Mathematical Physics, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The existence and uniqueness of q-process in random environment
Science in China Series A, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Large deviations of branching process in a random environment
Discrete Mathematics and Applications, 2021Abstract In this first part of the paper we find the asymptotic formulas for the probabilities of large deviations of the sequence defined by the random difference equation Y n +1 =
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