Displaying similar documents to “On the computation of moments of the partial non-central χ -square distribution function”

On asymmetric distributions of copula related random variables which includes the skew-normal ones

Ayyub Sheikhi, Fereshteh Arad, Radko Mesiar (2022)

Kybernetika

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Assuming that C X , Y is the copula function of X and Y with marginal distribution functions F X ( x ) and F Y ( y ) , in this work we study the selection distribution Z = d ( X | Y T ) . We present some special cases of our proposed distribution, among them, skew-normal distribution as well as normal distribution. Some properties such as moments and moment generating function are investigated. Also, some numerical analysis is presented for illustration.

Local equivalence of some maximally symmetric ( 2 , 3 , 5 ) -distributions II

Matthew Randall (2025)

Archivum Mathematicum

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We show the change of coordinates that maps the maximally symmetric ( 2 , 3 , 5 ) -distribution given by solutions to the k = 2 3 and k = 3 2 generalised Chazy equation to the flat Cartan distribution. This establishes the local equivalence between the maximally symmetric k = 2 3 and k = 3 2 generalised Chazy distribution and the flat Cartan or Hilbert-Cartan distribution. We give the set of vector fields parametrised by solutions to the k = 2 3 and k = 3 2 generalised Chazy equation and the corresponding Ricci-flat conformal scale...

Global approximations for the γ-order Lognormal distribution

Thomas L. Toulias (2013)

Discussiones Mathematicae Probability and Statistics

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A generalized form of the usual Lognormal distribution, denoted with γ , is introduced through the γ-order Normal distribution γ , with its p.d.f. defined into (0,+∞). The study of the c.d.f. of γ is focused on a heuristic method that provides global approximations with two anchor points, at zero and at infinity. Also evaluations are provided while certain bounds are obtained.

A new proof of the q -Dixon identity

Victor J. W. Guo (2018)

Czechoslovak Mathematical Journal

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We give a new and elementary proof of Jackson’s terminating q -analogue of Dixon’s identity by using recurrences and induction.

On C * -spaces

P. Srivastava, K. K. Azad (1981)

Matematički Vesnik

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