Asymptotic results for families of random variables having power series distributions

نویسندگان

چکیده

Suitable families of random variables having power series distributions are considered, and their asymptotic behavior in terms large (and moderate) deviations is studied. Two examples fractional counting processes presented, where the normalizations involved can be expressed Prabhakar function. The first example allows to consider process [Integral Transforms Spec. Funct. 27 (2016), 783–793], second one inspired by a model studied [J. Appl. Probab. 52 (2015), 18–36].

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ژورنال

عنوان ژورنال: Modern stochastics: theory and applications

سال: 2022

ISSN: ['2351-6046', '2351-6054']

DOI: https://doi.org/10.15559/21-vmsta198