On the k-gamma q-distribution

Rafael Díaz; Camilo Ortiz; Eddy Pariguan

doi:10.2478/s11533-010-0029-0

On the k-gamma q-distribution

Rafael Díaz
, Camilo Ortiz
, Eddy Pariguan

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

38 Scopus citations

Abstract

We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Díaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.

Original language	English
Pages (from-to)	448-458
Number of pages	11
Journal	Central European Journal of Mathematics
Volume	8
Issue number	3
DOIs	https://doi.org/10.2478/s11533-010-0029-0
State	Published - Jun 2010

Keywords

Gamma distribution
q-Calculus
q-combinatorics

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10.2478/s11533-010-0029-0

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title = "On the k-gamma q-distribution",

abstract = "We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by D{\'i}az and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.",

keywords = "Gamma distribution, q-Calculus, q-combinatorics",

author = "Rafael D{\'i}az and Camilo Ortiz and Eddy Pariguan",

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doi = "10.2478/s11533-010-0029-0",

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T1 - On the k-gamma q-distribution

AU - Díaz, Rafael

AU - Ortiz, Camilo

AU - Pariguan, Eddy

PY - 2010/6

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N2 - We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Díaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.

AB - We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Díaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.

KW - Gamma distribution

KW - q-Calculus

KW - q-combinatorics

UR - https://www.scopus.com/pages/publications/77953077363

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DO - 10.2478/s11533-010-0029-0

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VL - 8

SP - 448

EP - 458

JO - Central European Journal of Mathematics

JF - Central European Journal of Mathematics

IS - 3

ER -

On the k-gamma q-distribution

Abstract

Keywords

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