engleski

Observations on the McKay I_nu Bessel distribution

The main aim of this article is to derive new representation formulae for CDF of random variable distributed according to the McKay I_nu Bessel law: fi rst set of formulae are given in terms of incomplete generalized Fox-Wright function while the other expressions include Exton generalized hypergeometric X function of two variables, and also the incomplete Lipschitz-Hankel integral for the modifi ed Bessel function of the first kind. Also we establish the connection between CDF of the McKay I_nu Bessel rv and another important CDF which belongs to the non{; ; ; ; central chi-square law. Another goal is to give answers to the moment determinacy problem, unimodality and some mode results for this distribution.

Modified Bessel functions of the first kind ; McKay I_nu Bessel distribution ; Grünwald-Letnikov fractional derivative ; Incomplete Fox-Wright functions ; Incomplete Lipschitz-Hankel integral ; Exton X function ; Moment determinacy ; Unimodality

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