The Weibull-Exponential Distribution: Its Properties and Applications

Oguntunde, Pelumi E.; Balogun, Oluwafemi Samson; Okagbue, Hilary I.; Bishop, S.A.

doi:10.3923/jas.2015.1305.1311

Cited by 78 publications

(64 citation statements)

References 14 publications

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“…The research outcome supports the notion that generalizing a baseline distribution produces a more flexible distribution than the baseline distribution itself (Oguntunde et. al.…”

Section: Hazard Functionsupporting

confidence: 78%

“…In this section, the proposed Gompertz-Lindley distribution was applied to a data set and compared with some Oguntunde et al (2015) as well as Smith and Naylor (1987). The descriptive statistics and the performance of the models are given in the tables below:…”

Section: Resultsmentioning

confidence: 99%

“…There are several statistical distributions that have been useful in various fields such as medicine, economics, insurance, agriculture, finance, engineering, etc. The quest for more flexible models to model complex data sets has led to several new distributions that are obtained by generalizing the baseline distributions (Oguntunde et al 2015). Lindley distribution has been known for its good performance generally in many applications most especially in modelling lifetime data sets (Shanker et al 2017).…”

Section: Introductionmentioning

confidence: 99%

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A Three-Parameter Gompertz-Lindley Distribution: Its Properties and Applications

2019

MTM

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This research proposed a three-parameter probability distribution called Gompertz-Lindley distribution using Gompertz generalized (Gompertz-G) family of distributions. The mathematical properties of the distribution such as moment, moment generating function, survival function and hazard function were derived. The parameters of the distribution were estimated using the method of maximum likelihood and the distribution was applied to model the strength of glass fibres. Gompertz-Lindley distribution performed best (AIC = 62.8537) when compared with other generalizations of the Lindley distribution.

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“…The research outcome supports the notion that generalizing a baseline distribution produces a more flexible distribution than the baseline distribution itself (Oguntunde et. al.…”

Section: Hazard Functionsupporting

confidence: 78%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Three-Parameter Gompertz-Lindley Distribution: Its Properties and Applications

2019

MTM

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“…In this section, one real data set are analyzed to illustrate the merit of KwWE distribution compared to some sub-models; namely, Weibull exponential (WE) [23], beta Weibull (BW) [7], and Weibull Weibull (WW) [1] distributions.…”

Section: Discussionmentioning

confidence: 99%

A new generalization of Weibull-exponential distribution with application

ZeinEldin¹,

Elgarhy²

2018

J. Nonlinear Sci. Appl.

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In this article, we will introduce a new five-parameter continuous model, called the Kumaraswamy Weibull exponential distribution based on Kumaraswamy Weibull-G family [A. S. Hassan, M. Elgarhy, Adv. Appl. Stat., 48 (2016), 205-239]. The new model contains some new distributions as well as some former distributions. Various mathematical properties of this distribution are studied. General explicit expressions for the quantile function, expansion of distribution and density functions, moments, generating function, incomplete moments, conditional moments, residual life function, reversed residual life function, mean deviation, inequality measures, Rényi and q-entropies, probability weighted moments, and order statistics are obtained. The estimation of the model parameters is discussed using maximum likelihood method. The practical importance of the new distribution is demonstrated through real data sets where we compare it with several lifetime distributions.

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“…This section provides an application to show how the TIKEx distribution can be applied in practice. With this aim in mind, we compare the TIKEx model with those of the Weibull-exponential (WEx) model (see [17]), Lomax-exponential (LEx) model (see [18]), gamma-exponentiated exponential (GEx) model (see [19]), Burr III-exponential (BrEx) model (see [20]), Burr X-exponential (BXEx) model (see [21]), standard exponential (Ex) model, standard two-parameter Weibull (W2) model, three-parameter Weibull (W3) model (see [22]), and standard log-normal (LN) model.…”

Section: Applicationsmentioning

confidence: 99%

Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications

Bantan

Jamal²,

Chesneau

et al. 2019

Entropy

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In this article, we introduce a new general family of distributions derived to the truncated inverted Kumaraswamy distribution (on the unit interval), called the truncated inverted Kumaraswamy generated family. Among its qualities, it is characterized with tractable functions, has the ability to enhance the flexibility of a given distribution, and demonstrates nice statistical properties, including competitive fits for various kinds of data. A particular focus is given on a special member of the family defined with the exponential distribution as baseline, offering a new three-parameter lifetime distribution. This new distribution has the advantage of having a hazard rate function allowing monotonically increasing, decreasing, and upside-down bathtub shapes. In full generality, important properties of the new family are determined, with an emphasis on the entropy (Rényi and Shannon entropy). The estimation of the model parameters is established by the maximum likelihood method. A numerical simulation study illustrates the nice performance of the obtained estimates. Two practical data sets are then analyzed. We thus prove the potential of the new model in terms of fitting, with favorable results in comparison to other modern parametric models of the literature.

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The Weibull-Exponential Distribution: Its Properties and Applications

Cited by 78 publications

References 14 publications

A Three-Parameter Gompertz-Lindley Distribution: Its Properties and Applications

A Three-Parameter Gompertz-Lindley Distribution: Its Properties and Applications

A new generalization of Weibull-exponential distribution with application

Truncated Inverted Kumaraswamy Generated Family of Distributions with Applications

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