Product of n independent maxwell random variables

Noura Obeid; Seifedine Kadry

doi:10.24412/1932-2321-2021-262-279-288

Product of n independent maxwell random variables

Noura Obeid
, Seifedine Kadry

Beirut Arab University

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

Abstract

We derive the exact probability density functions (pdf) of a product of n independent Maxwell distributed random variables. The distribution functions are derived by using an inverse Mellin transform technique from statistics, and are given in terms of a special function of mathematical physics, the Meijer G-function.

Original language	English
Pages (from-to)	249-288
Number of pages	40
Journal	Reliability: Theory and Applications
Volume	16
Issue number	2
DOIs	https://doi.org/10.24412/1932-2321-2021-262-279-288
State	Published - Jun 2021
Externally published	Yes

Keywords

Maxwell Distribution
Meijer G-function
Mellin transform technique
Probability density function
Product Distribution

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10.24412/1932-2321-2021-262-279-288

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title = "Product of n independent maxwell random variables",

abstract = "We derive the exact probability density functions (pdf) of a product of n independent Maxwell distributed random variables. The distribution functions are derived by using an inverse Mellin transform technique from statistics, and are given in terms of a special function of mathematical physics, the Meijer G-function.",

keywords = "Maxwell Distribution, Meijer G-function, Mellin transform technique, Probability density function, Product Distribution",

author = "Noura Obeid and Seifedine Kadry",

year = "2021",

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doi = "10.24412/1932-2321-2021-262-279-288",

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T1 - Product of n independent maxwell random variables

AU - Obeid, Noura

AU - Kadry, Seifedine

PY - 2021/6

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AB - We derive the exact probability density functions (pdf) of a product of n independent Maxwell distributed random variables. The distribution functions are derived by using an inverse Mellin transform technique from statistics, and are given in terms of a special function of mathematical physics, the Meijer G-function.

KW - Maxwell Distribution

KW - Meijer G-function

KW - Mellin transform technique

KW - Probability density function

KW - Product Distribution

UR - https://www.scopus.com/pages/publications/85109103854

U2 - 10.24412/1932-2321-2021-262-279-288

DO - 10.24412/1932-2321-2021-262-279-288

M3 - Article

AN - SCOPUS:85109103854

SN - 1932-2321

VL - 16

SP - 249

EP - 288

JO - Reliability: Theory and Applications

JF - Reliability: Theory and Applications

IS - 2

ER -

Product of n independent maxwell random variables

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Keywords

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