Beta Transformation. Beta Type Self-Decomposability And Related Characterizations

Boyan N. Dimitrov; Nikolai Kolev

Beta Transformation. Beta Type Self-Decomposability And Related Characterizations

Boyan N. Dimitrov
, Nikolai Kolev

Kettering University

University of São Paulo

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

Abstract

A new specific transformation of non-negative integer valued random variables is introduced, and its properties are studied. An extended version of the discrete self-decomposability is defined and related characterizations of the geometric and negative binomial distributions are obtained. Applications of the proposed parameterization to the search of a model which better fits frequency data are illustrated with an example.

Original language	American English
Journal	Brazilian Journal of Probability and Statistics
Volume	14
State	Published - Jan 1 2000

Keywords

Characterization of geometric and negative binomial distributions
estimation
parameterization of discrete distributions
self-decomposability

Disciplines

Mathematics

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https://www.jstor.org/stable/43600973

Cite this

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title = "Beta Transformation. Beta Type Self-Decomposability And Related Characterizations",

abstract = " A new specific transformation of non-negative integer valued random variables is introduced, and its properties are studied. An extended version of the discrete self-decomposability is defined and related characterizations of the geometric and negative binomial distributions are obtained. Applications of the proposed parameterization to the search of a model which better fits frequency data are illustrated with an example.",

keywords = "Characterization of geometric and negative binomial distributions, estimation, parameterization of discrete distributions, self-decomposability",

author = "Dimitrov, \{Boyan N.\} and Nikolai Kolev",

year = "2000",

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day = "1",

language = "American English",

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journal = "Brazilian Journal of Probability and Statistics",

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TY - JOUR

T1 - Beta Transformation. Beta Type Self-Decomposability And Related Characterizations

AU - Dimitrov, Boyan N.

AU - Kolev, Nikolai

PY - 2000/1/1

Y1 - 2000/1/1

N2 - A new specific transformation of non-negative integer valued random variables is introduced, and its properties are studied. An extended version of the discrete self-decomposability is defined and related characterizations of the geometric and negative binomial distributions are obtained. Applications of the proposed parameterization to the search of a model which better fits frequency data are illustrated with an example.

AB - A new specific transformation of non-negative integer valued random variables is introduced, and its properties are studied. An extended version of the discrete self-decomposability is defined and related characterizations of the geometric and negative binomial distributions are obtained. Applications of the proposed parameterization to the search of a model which better fits frequency data are illustrated with an example.

KW - Characterization of geometric and negative binomial distributions

KW - estimation

KW - parameterization of discrete distributions

KW - self-decomposability

UR - https://digitalcommons.kettering.edu/mathematics_facultypubs/44

UR - https://www.jstor.org/stable/43600973

M3 - Article

VL - 14

JO - Brazilian Journal of Probability and Statistics

JF - Brazilian Journal of Probability and Statistics

ER -

Beta Transformation. Beta Type Self-Decomposability And Related Characterizations

Abstract

Keywords

Disciplines

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