Convergence rates in the law of large numbers for END linear processes with random coefficients
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Statistics - Theory and Methods"
DOI: 10.1080/03610926.2018.1530790
Abstract: Abstract In this paper, we consider convergence rates in the Marcinkiewicz–Zygmund law of the large numbers for the END linear processes with random coefficients. We extend some results of Baum and Katz (1965) to the… read more here.
Keywords: law large; large numbers; random coefficients; processes random ... See more keywords
Ancestral inference for branching processes in random environments and an application to polymerase chain reaction
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DOI: 10.1080/15326349.2019.1588133
Abstract: Abstract Branching processes in random environments arise in a variety of applications such as biology, finance, and other contemporary scientific areas. Motivated by these applications, this article investigates the problem of ancestral inference. Specifically, the… read more here.
Keywords: random environments; branching processes; chain reaction; processes random ... See more keywords
Closed-form solutions for Bernoulli and compound Poisson branching processes in random environments
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ad83c8
Abstract: For branching processes, the generating functions for the limit distributions of the so-called ratios of probabilities of rare events satisfy Schröder-type integral–functional equations. With the exception of a few special cases, the corresponding equations cannot… read more here.
Keywords: processes random; poisson; random environments; form solutions ... See more keywords