Contorted uniform and Pareto distribution

Boyan N. Dimitrov; Elart von Collani

doi:10.1016/0167-7152(94)00108-K

Contorted uniform and Pareto distribution

Boyan N. Dimitrov, Elart von Collani

Kettering University

Würzburg University

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

Abstract

Random variables having the multiplicative almost-lack-of-memory property are introduced. An explicit representation of distributions having this property is derived and some of their properties are studied. These distributions appear to be extensions of the uniform and Pareto distributions.

Original language	American English
Journal	Statistics Probability Letters
Volume	23
DOIs	https://doi.org/10.1016/0167-7152(94)00108-K
State	Published - May 1 1995

Keywords

Multiplicative lack of memory
Uniform distribution
Pareto distribution
Characterization theorems
Exponential growth rate and random lifetime

Disciplines

Mathematics

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10.1016/0167-7152(94)00108-KLicense: CC BY

https://www.sciencedirect.com/science/article/pii/016771529400108K

Cite this

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title = "Contorted uniform and Pareto distribution",

abstract = " Random variables having the multiplicative almost-lack-of-memory property are introduced. An explicit representation of distributions having this property is derived and some of their properties are studied. These distributions appear to be extensions of the uniform and Pareto distributions.",

keywords = "Multiplicative lack of memory, Uniform distribution, Pareto distribution, Characterization theorems, Exponential growth rate and random lifetime",

author = "Dimitrov, {Boyan N.} and Collani, {Elart von}",

year = "1995",

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day = "1",

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language = "American English",

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AU - Dimitrov, Boyan N.

AU - Collani, Elart von

PY - 1995/5/1

Y1 - 1995/5/1

N2 - Random variables having the multiplicative almost-lack-of-memory property are introduced. An explicit representation of distributions having this property is derived and some of their properties are studied. These distributions appear to be extensions of the uniform and Pareto distributions.

AB - Random variables having the multiplicative almost-lack-of-memory property are introduced. An explicit representation of distributions having this property is derived and some of their properties are studied. These distributions appear to be extensions of the uniform and Pareto distributions.

KW - Multiplicative lack of memory

KW - Uniform distribution

KW - Pareto distribution

KW - Characterization theorems

KW - Exponential growth rate and random lifetime

UR - https://digitalcommons.kettering.edu/mathematics_facultypubs/53

UR - https://www.sciencedirect.com/science/article/pii/016771529400108K

U2 - 10.1016/0167-7152(94)00108-K

DO - 10.1016/0167-7152(94)00108-K

M3 - Article

VL - 23

JO - Statistics Probability Letters

JF - Statistics Probability Letters

ER -

Contorted uniform and Pareto distribution

Abstract

Keywords

Disciplines

Access to Document

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