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Let ( Z n ) be a branching process with immigration in a random environment ξ , where ξ is an independent and identically distributed sequence of random variables. We… Click to show full abstract
Let ( Z n ) be a branching process with immigration in a random environment ξ , where ξ is an independent and identically distributed sequence of random variables. We show asymptotic properties for all the moments of Z n and describe the decay rates of the n -step transition probabilities. As applications, a large deviation principle for the sequence log Z n is established, and related large deviations are also studied.
Keywords:
deviations supercritical;
immigration random;
moments large;
large deviations;
random
Journal Title: Acta Mathematica Scientia
Year Published: 2021
Link to full text (if available)
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Journal Title: Acta Mathematica Scientia
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!