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Families of ν-similar birth-death processes and limiting conditional distributions
2015
Advances in Difference Equations
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We study, for a given process X , the conditions under which ν-similarity is provided, relations between similarity and ν-similarity of processes, and we analyze (doubly) limiting conditional distributions. We present sufficient conditions for the existence of at least one ν-similar process to a given one. Moreover, recursive formulas for birth and death rates of ν-similar processes are formulated. We apply differential equations and uniqueness of solutions to such equations to derive the main
doi:10.1186/s13662-015-0588-2
fatcat:mku6w7w3a5ax3ni45prw6nmfwq