The adjusted Fisk Weibull distribution: properties and applications

Idika E. Okorie; Anthony C. Akpanta; Johnson Ohakwe; David C. Chikezie; Eunice O. Obi

doi:10.1080/02286203.2017.1370770

The adjusted Fisk Weibull distribution: properties and applications

Idika E. Okorie, Anthony C. Akpanta, Johnson Ohakwe, David C. Chikezie, Eunice O. Obi

Mathematics

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

1 Scopus citations

Abstract

We define a new lifetime distribution from a direct cumulative distribution function composition of the two parameter Fisk distribution and two parameter Weibull distribution with an asymptotic adjustment. The new four parameter distribution is called the adjusted Fisk Weibull (AFW) distribution. The AFW distribution is analytically appealing and some of its statistical properties are expressed in closed forms. The maximum likelihood method of parameter estimation was used to estimate the parameters of the new distribution and the usefulness and possible applications of the distribution was illustrated with two real and uncensored data-sets.

Original language	British English
Pages (from-to)	13-24
Number of pages	12
Journal	International Journal of Modelling and Simulation
Volume	38
Issue number	1
DOIs	https://doi.org/10.1080/02286203.2017.1370770
State	Published - 2 Jan 2018

Keywords

estimation
Fisk
reliability
simulation
Weibull

Access to Document

10.1080/02286203.2017.1370770

Cite this

@article{d13288148e5a4587bd4d584924a8a9ff,

title = "The adjusted Fisk Weibull distribution: properties and applications",

abstract = "We define a new lifetime distribution from a direct cumulative distribution function composition of the two parameter Fisk distribution and two parameter Weibull distribution with an asymptotic adjustment. The new four parameter distribution is called the adjusted Fisk Weibull (AFW) distribution. The AFW distribution is analytically appealing and some of its statistical properties are expressed in closed forms. The maximum likelihood method of parameter estimation was used to estimate the parameters of the new distribution and the usefulness and possible applications of the distribution was illustrated with two real and uncensored data-sets.",

keywords = "estimation, Fisk, reliability, simulation, Weibull",

author = "Okorie, {Idika E.} and Akpanta, {Anthony C.} and Johnson Ohakwe and Chikezie, {David C.} and Obi, {Eunice O.}",

note = "Publisher Copyright: {\textcopyright} 2017 Informa UK Limited, trading as Taylor & Francis Group.",

year = "2018",

month = jan,

day = "2",

doi = "10.1080/02286203.2017.1370770",

language = "British English",

volume = "38",

pages = "13--24",

journal = "International Journal of Modelling and Simulation",

issn = "0228-6203",

publisher = "Taylor and Francis Ltd.",

number = "1",

}

TY - JOUR

T1 - The adjusted Fisk Weibull distribution

T2 - properties and applications

AU - Okorie, Idika E.

AU - Akpanta, Anthony C.

AU - Ohakwe, Johnson

AU - Chikezie, David C.

AU - Obi, Eunice O.

PY - 2018/1/2

Y1 - 2018/1/2

N2 - We define a new lifetime distribution from a direct cumulative distribution function composition of the two parameter Fisk distribution and two parameter Weibull distribution with an asymptotic adjustment. The new four parameter distribution is called the adjusted Fisk Weibull (AFW) distribution. The AFW distribution is analytically appealing and some of its statistical properties are expressed in closed forms. The maximum likelihood method of parameter estimation was used to estimate the parameters of the new distribution and the usefulness and possible applications of the distribution was illustrated with two real and uncensored data-sets.

AB - We define a new lifetime distribution from a direct cumulative distribution function composition of the two parameter Fisk distribution and two parameter Weibull distribution with an asymptotic adjustment. The new four parameter distribution is called the adjusted Fisk Weibull (AFW) distribution. The AFW distribution is analytically appealing and some of its statistical properties are expressed in closed forms. The maximum likelihood method of parameter estimation was used to estimate the parameters of the new distribution and the usefulness and possible applications of the distribution was illustrated with two real and uncensored data-sets.

KW - estimation

KW - Fisk

KW - reliability

KW - simulation

KW - Weibull

UR - http://www.scopus.com/inward/record.url?scp=85029894850&partnerID=8YFLogxK

U2 - 10.1080/02286203.2017.1370770

DO - 10.1080/02286203.2017.1370770

M3 - Article

AN - SCOPUS:85029894850

SN - 0228-6203

VL - 38

SP - 13

EP - 24

JO - International Journal of Modelling and Simulation

JF - International Journal of Modelling and Simulation

IS - 1

ER -

The adjusted Fisk Weibull distribution: properties and applications

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this