An improved unifying density function

G. R. Waissi

doi:10.1016/0893-9659(94)90076-0

An improved unifying density function

G. R. Waissi

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

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Abstract

This paper presents an improved and simplified version of the unifying probability density function of [1]. The improved unifying density function is shown to be the parent of the Rayleigh distribution in addition to the Weibull-, gamma-, Erlang-, χ²- and exponential distributions. The means and variances of the relating child distributions can be found easily by substitution using the established relationships.

Original language	English (US)
Pages (from-to)	71-73
Number of pages	3
Journal	Applied Mathematics Letters
Volume	7
Issue number	5
DOIs	https://doi.org/10.1016/0893-9659(94)90076-0
State	Published - Sep 1994
Externally published	Yes

Keywords

Positive density functions
Probability densities
Probability distributions

ASJC Scopus subject areas

Applied Mathematics

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10.1016/0893-9659(94)90076-0

Cite this

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title = "An improved unifying density function",

abstract = "This paper presents an improved and simplified version of the unifying probability density function of [1]. The improved unifying density function is shown to be the parent of the Rayleigh distribution in addition to the Weibull-, gamma-, Erlang-, χ2- and exponential distributions. The means and variances of the relating child distributions can be found easily by substitution using the established relationships.",

keywords = "Positive density functions, Probability densities, Probability distributions",

author = "Waissi, {G. R.}",

year = "1994",

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doi = "10.1016/0893-9659(94)90076-0",

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N2 - This paper presents an improved and simplified version of the unifying probability density function of [1]. The improved unifying density function is shown to be the parent of the Rayleigh distribution in addition to the Weibull-, gamma-, Erlang-, χ2- and exponential distributions. The means and variances of the relating child distributions can be found easily by substitution using the established relationships.

AB - This paper presents an improved and simplified version of the unifying probability density function of [1]. The improved unifying density function is shown to be the parent of the Rayleigh distribution in addition to the Weibull-, gamma-, Erlang-, χ2- and exponential distributions. The means and variances of the relating child distributions can be found easily by substitution using the established relationships.

KW - Positive density functions

KW - Probability densities

KW - Probability distributions

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U2 - 10.1016/0893-9659(94)90076-0

DO - 10.1016/0893-9659(94)90076-0

M3 - Article

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VL - 7

SP - 71

EP - 73

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

IS - 5

ER -

An improved unifying density function

Abstract

Keywords

ASJC Scopus subject areas

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