Weighted Quasi Akash Distribution:: Properties and Applications

Eyob Tesfalem; Rama Shanker; Kamlesh Kumar Shukla; Tekie Asehun Leonida

doi:10.5923/j.ajms.20190901.05

Weighted Quasi Akash Distribution: Properties and Applications

Eyob Tesfalem^*, Rama Shanker, Kamlesh Kumar Shukla, Tekie Asehun Leonida

^*Corresponding author for this work

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

464 Downloads (Pure)

Abstract

This paper proposes a three-parameter weighted quasi Akash distribution (WQAD) which includes two-parameter weighted Akash, quasi Akash and gamma distributions and one parameter Akash distribution as special cases. Its raw moments and central moments have been obtained. The moment based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been discussed. The statistical properties including hazard rate function, mean residual life function and stochastic ordering have been explained. Maximum likelihood estimation has been discussed for estimating the parameters of the distribution. Finally, applications of the distribution have been explained with three examples of observed real lifetime datasets from engineering.

Original language	English
Pages (from-to)	30-43
Number of pages	14
Journal	American Journal of Mathematics and Statistics
Volume	9
Issue number	1
DOIs	https://doi.org/10.5923/j.ajms.20190901.05
Publication status	Published - 2019

Keywords

Quasi Akash distribution
Moments
Statistical properties
Maximum Likelihood estimation
Goodness of fit

Access to Document

10.5923/j.ajms.20190901.05Licence: CC BY

2019-XTesfalemShankerShuklaLeonida_10.5923.j.ajms.20190901.05Final published version, 428 KBLicence: CC BY

Cite this

@article{7e740eb1ad844189b2f72b84c2633faf,

title = "Weighted Quasi Akash Distribution:: Properties and Applications",

abstract = "This paper proposes a three-parameter weighted quasi Akash distribution (WQAD) which includes two-parameter weighted Akash, quasi Akash and gamma distributions and one parameter Akash distribution as special cases. Its raw moments and central moments have been obtained. The moment based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been discussed. The statistical properties including hazard rate function, mean residual life function and stochastic ordering have been explained. Maximum likelihood estimation has been discussed for estimating the parameters of the distribution. Finally, applications of the distribution have been explained with three examples of observed real lifetime datasets from engineering.",

keywords = "Quasi Akash distribution, Moments, Statistical properties, Maximum Likelihood estimation, Goodness of fit",

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

year = "2019",

doi = "10.5923/j.ajms.20190901.05",

language = "English",

volume = "9",

pages = "30--43",

journal = "American Journal of Mathematics and Statistics",

issn = "2162-948X",

publisher = "Scientific & Academic Publishing Co.",

number = "1",

}

TY - JOUR

T1 - Weighted Quasi Akash Distribution:

T2 - Properties and Applications

AU - Tesfalem, Eyob

AU - Shanker, Rama

AU - Shukla, Kamlesh Kumar

AU - Leonida, Tekie Asehun

PY - 2019

Y1 - 2019

N2 - This paper proposes a three-parameter weighted quasi Akash distribution (WQAD) which includes two-parameter weighted Akash, quasi Akash and gamma distributions and one parameter Akash distribution as special cases. Its raw moments and central moments have been obtained. The moment based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been discussed. The statistical properties including hazard rate function, mean residual life function and stochastic ordering have been explained. Maximum likelihood estimation has been discussed for estimating the parameters of the distribution. Finally, applications of the distribution have been explained with three examples of observed real lifetime datasets from engineering.

AB - This paper proposes a three-parameter weighted quasi Akash distribution (WQAD) which includes two-parameter weighted Akash, quasi Akash and gamma distributions and one parameter Akash distribution as special cases. Its raw moments and central moments have been obtained. The moment based measures including coefficient of variation, skewness, kurtosis and index of dispersion have been discussed. The statistical properties including hazard rate function, mean residual life function and stochastic ordering have been explained. Maximum likelihood estimation has been discussed for estimating the parameters of the distribution. Finally, applications of the distribution have been explained with three examples of observed real lifetime datasets from engineering.

KW - Quasi Akash distribution

KW - Moments

KW - Statistical properties

KW - Maximum Likelihood estimation

KW - Goodness of fit

U2 - 10.5923/j.ajms.20190901.05

DO - 10.5923/j.ajms.20190901.05

M3 - Article

SN - 2162-948X

VL - 9

SP - 30

EP - 43

JO - American Journal of Mathematics and Statistics

JF - American Journal of Mathematics and Statistics

IS - 1

ER -

Weighted Quasi Akash Distribution: Properties and Applications

Abstract

Keywords

Access to Document

Fingerprint

Cite this