2015 # The Weibull-Exponential Distribution: Its Properties and Applications

**Abstract:** A B S T R A C TA three parameter probability model, the so called Weibull-exponential distribution was proposed using the Weibull Generalized family of distributions. Some important models in the literature were found to be sub models of the new model. Explicit expressions for some of its basic mathematical properties like moments, moment generating function, reliability analysis, limiting behavior and order statistics were derived. The method of maximum likelihood estimation was proposed in estimating its par…

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(61 citation statements)

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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.…”

confidence: 78%

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

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:…”

confidence: 99%

“…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.…”

confidence: 99%

“…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.…”

confidence: 99%