In this talk we review several applications of two Weibull extensions in statistical theory and applied research. The two extensions are the generalized Weibull and the exponentiated Weibull families, and the applications are in the areas of reliability and survival analysis, exteme value analysis, isotones and distributional approximations. 1 The Generalized Weibull Family The generalized Weib...

Characterizing the wind speed distribution properly is essential for satisfactory production of potential energy in farms, being mixture models usually employed description such data. However, some commonly have undesirable property non-identifiability. In this work, we present an alternative which able to fit data decently. The new model, called Normal-Weibull-Weibull, identifiable and its cum...

Doubly censoring scheme, which includes left as well as right censored observations, is frequently observed in practical studies. In this paper we introduce a new interval say tracking interval for comparing the two rival models when the data are doubly censored. We obtain the asymptotic properties of maximum likelihood estimator under doubly censored data and drive a statistic for testing the ...

Splashing of splat particles is one of the most important phenomena in industrial processes such as thermal spray coating. The data relative to the degree of splashing of splats sprayed with a normal angle are commonly characterized by the Weibull distribution function. In this present study, an effort has been made to show that the Burr distribution is better than the Weibull distribution for ...

In the present study, we have constructed MinMaxEnt distribution alternative to the Weibull distribution for the wind speed. MinMaxEnt distribution minimizes the special maximum entropy functional in the concrete set of moment functions, therefore, maximizes the amount of information generated by the given random sample. MinMaxEnt distribution of wind speed data measured in Eskisehir is also ob...

A theorem due to L. J. Gleser stating that a gamma distribution with shape parameter no greater than one is a mixed exponential distribution is extended to generalized gamma distributions introduced by E. W. Stacy as a special family of lifetime distributions containing both gamma distributions, exponential power and Weibull distributions. It is shown that the mixing distribution is a scale mix...

A three-parameter Weibull distribution model was developed and verified to simulate the underlying frequency distributions of observations with missing values through the entire range of observations or near and below detection limit of the monitoring equipment. The corresponding Weibull pseudo-random generator then can be used to estimate and replace the missing observations so that the origin...

the hydrothermal time models have been widely applied to describe the germination responses of seeds to temperature and water potential. in this study, three hydrothermal time models developed on the basis of different statistical distributions (normal, weibull and gumbel) were compared to describe the phalaris minor seed germination. results showed that gumbel (aicc=-762.8) and weibull (aicc=-...

A four parameter generalization of the Weibull distribution capable of modeling a bathtub-shaped hazard rate function is defined and studied. The beauty and importance of this distribution lies in its ability to model monotone as well as non-monotone failure rates, which are quite common in lifetime problems and reliability. The new distribution has a number of well-known lifetime special sub-m...