A Size-Biased Poisson-Aradhana Distribution with Applications

Rama Shanker; Kamlesh Kumar Shukla; Ravi Shanker; Tekie Asehun Leonida

doi:10.5923/j.ajms.20180805.04

A Size-Biased Poisson-Aradhana Distribution with Applications

Rama Shanker (Corresponding Author), Kamlesh Kumar Shukla, Ravi Shanker, Tekie Asehun Leonida

Stochastic Operations Research

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Abstract

In this present paper, a size-biased Poisson-Aradhana distribution (SBPAD) has been proposed and its nature has been studied graphically. Its moments and moments based measures including coefficients of variation, skewness, kurtosis and index of dispersion have been obtained and their natures have been discussed graphically. The unimodality and increasing hazard rate function of the distribution has been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameter. Applications of SBPAD have been explained through three examples and it gives much better fit over size-biased Poisson distribution (SBPD) and size-biased Poisson-Lindley distribution (SBPLD).

Original language	English
Pages (from-to)	126-135
Number of pages	10
Journal	American Journal of Mathematics and Statistics
Volume	8
Issue number	5
DOIs	https://doi.org/10.5923/j.ajms.20180805.04
Publication status	Published - 2018

Keywords

Aradhana distribution
Poisson-Aradhana distribution
Moments
Skewness
Kurtosis
Estimation
Applications
Size-biasing

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title = "A Size-Biased Poisson-Aradhana Distribution with Applications",

abstract = "In this present paper, a size-biased Poisson-Aradhana distribution (SBPAD) has been proposed and its nature has been studied graphically. Its moments and moments based measures including coefficients of variation, skewness, kurtosis and index of dispersion have been obtained and their natures have been discussed graphically. The unimodality and increasing hazard rate function of the distribution has been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameter. Applications of SBPAD have been explained through three examples and it gives much better fit over size-biased Poisson distribution (SBPD) and size-biased Poisson-Lindley distribution (SBPLD).",

keywords = "Aradhana distribution, Poisson-Aradhana distribution, Moments, Skewness, Kurtosis, Estimation, Applications, Size-biasing",

author = "Rama Shanker and Shukla, {Kamlesh Kumar} and Ravi Shanker and Leonida, {Tekie Asehun}",

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language = "English",

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pages = "126--135",

journal = "American Journal of Mathematics and Statistics",

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T1 - A Size-Biased Poisson-Aradhana Distribution with Applications

AU - Shanker, Rama

AU - Shukla, Kamlesh Kumar

AU - Shanker, Ravi

AU - Leonida, Tekie Asehun

PY - 2018

Y1 - 2018

N2 - In this present paper, a size-biased Poisson-Aradhana distribution (SBPAD) has been proposed and its nature has been studied graphically. Its moments and moments based measures including coefficients of variation, skewness, kurtosis and index of dispersion have been obtained and their natures have been discussed graphically. The unimodality and increasing hazard rate function of the distribution has been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameter. Applications of SBPAD have been explained through three examples and it gives much better fit over size-biased Poisson distribution (SBPD) and size-biased Poisson-Lindley distribution (SBPLD).

AB - In this present paper, a size-biased Poisson-Aradhana distribution (SBPAD) has been proposed and its nature has been studied graphically. Its moments and moments based measures including coefficients of variation, skewness, kurtosis and index of dispersion have been obtained and their natures have been discussed graphically. The unimodality and increasing hazard rate function of the distribution has been discussed. Method of moments and the method of maximum likelihood have been discussed for estimating the parameter. Applications of SBPAD have been explained through three examples and it gives much better fit over size-biased Poisson distribution (SBPD) and size-biased Poisson-Lindley distribution (SBPLD).

KW - Aradhana distribution

KW - Poisson-Aradhana distribution

KW - Moments

KW - Skewness

KW - Kurtosis

KW - Estimation

KW - Applications

KW - Size-biasing

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DO - 10.5923/j.ajms.20180805.04

M3 - Article

SN - 2162-948X

VL - 8

SP - 126

EP - 135

JO - American Journal of Mathematics and Statistics

JF - American Journal of Mathematics and Statistics

IS - 5

ER -

A Size-Biased Poisson-Aradhana Distribution with Applications

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Keywords

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