On an extension of the exponential-geometric distribution

Adamidis, Konstantinos; Dimitrakopoulou, Theodora; Loukas, S.

doi:10.1016/j.spl.2005.03.013

Cited by 117 publications

(90 citation statements)

References 7 publications

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“…Tahmasbi and Rezaei (2008) obtained the Exponential Logarithmic (EL) distribution by using the same compounding mechanism. The extended EG distribution was considered by Adamidis, Dimitrakopoulou, and Loukas (2005).…”

Section: Rashid Et Almentioning

confidence: 99%

A new lifetime distribution for series system: Model, properties and application

Rashid

Ahmad

Jan

2018

J. Mod. Appl. Stat. Methods

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A new lifetime distribution for modeling system lifetime in series setting is proposed that embodies most of the compound lifetime distribution. The reliability analysis of parent and of sub-models has also been discussed. Various mathematical properties that include moment generating function, moments, and order statistics have been obtained. The newlyproposed distribution has a flexible density function; more importantly its hazard rate function can take up different shapes such as bathtub, upside down bathtub, increasing, and decreasing shapes. The unknown parameters of the proposed generalized family have been estimated through MLE technique. The strength and usefulness of the proposed family was tested on a real life data set and it is quite clear from the statistical analysis that proposed family offers a better fit.

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Section: Rashid Et Almentioning

confidence: 99%

A new lifetime distribution for series system: Model, properties and application

Rashid

Ahmad

Jan

2018

J. Mod. Appl. Stat. Methods

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“…Let has the pmf in (geometric). Now, consider the failure times of the initial defects, denoted by be independent and identically distributed (iid) random variables following the GIW distribution with cdf and pdf (1). Note that the time to failure of the first out of the functioning systems is given by { } Then, the cdf of is given (for ) by…”

Section: Introductionmentioning

confidence: 99%

The Beta Generalized Inverse Weibull Geometric Distribution

Elbatal¹,

Gebaly²,

Amin³

2017

Pak.j.stat.oper.res.

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A new six-parameter distribution called the beta generalized inverse Weibull-geometric distribution is proposed. The new distribution is generated from the logit of a beta random variable and includes the generalized inverse Weibull geometric distribution. Various structural properties of the new distribution including explicit expressions for the moments, moment generating function, mean deviation are derived. The estimation of the model parameters is performed by maximum likelihood method.

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“…The new distribution involves two important known distributions, i.e., the exponential-geometric (Adamidis and Loukas, 1998) and the extended (complementary) exponential-geometric distributions (Adamidis et al, 2005; in the minimum and maximum lifetime cases, respectively. General forms of the probability distribution, the survival and the failure rate functions as well as their properties are presented for some special cases.…”

Section: Introductionmentioning

confidence: 99%

The Exponential-Generalized Truncated Geometric (EGTG) Distribution: A New Lifetime Distribution

Rahmouni

Orabi

2017

IJSP

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This paper introduces a new two-parameter lifetime distribution, called the exponential-generalized truncated geometric (EGTG) distribution, by compounding the exponential with the generalized truncated geometric distributions. The new distribution involves two important known distributions, i.e., the exponential-geometric (Adamidis and Loukas, 1998) and the extended (complementary) exponential-geometric distributions (Adamidis et al., 2005; in the minimum and maximum lifetime cases, respectively. General forms of the probability distribution, the survival and the failure rate functions as well as their properties are presented for some special cases. The application study is illustrated based on two real data sets.

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On an extension of the exponential-geometric distribution

Cited by 117 publications

References 7 publications

A new lifetime distribution for series system: Model, properties and application

A new lifetime distribution for series system: Model, properties and application

The Beta Generalized Inverse Weibull Geometric Distribution

The Exponential-Generalized Truncated Geometric (EGTG) Distribution: A New Lifetime Distribution

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