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...

The purposes of this study were 1) to investigate the heritability, reliability, and selection response for survival traits following a Weibull frailty proportional hazard model; and 2) to examine the relationship between genetic parameters from a Weibull model, a discrete proportional hazard model, and a binary data analysis using a linear model. Both analytical methods and Monte Carlo simulat...

The Weibull distribution is a very popular distribution. It is called after Waladdi Weibull, a Swedish physicist. He used it in 1939 to analyze the breaking strength of materials. Since then it has been widely used for modelling phenomena with monotone failure rates. It is not useful for modelling phenomena with non monotone failure rates. The Weibull distribution has been shown to be useful fo...

The fracture toughness, K IC, of a cortical bone has been experimentally determined by several researchers. The variation of K IC values occurs from the variation of specimen orientation, shape, and size during the experiment. The fracture toughness of a cortical bone is governed by the severest flaw and, hence, may be analyzed using Weibull statistics. To the best of the authors' knowledge, ho...

In this paper, we consider the problem of estimating an extreme quantile of a Weibull tail-distribution. The new extreme quantile estimator has a reduced bias compared to the more classical ones proposed in the literature. It is based on an exponential regression model that was introduced in Diebolt et al. (2008). The asymptotic normality of the extreme quantile estimator is established. We als...

 In this paper, we discuss different estimators of the records Weibull distribution parameters and also we apply the Kullback-Leibler divergence of survival function method to estimate record Weibull parameters. Finally, these estimators have been compared using Monte Carlo simulation and suggested good estimators.

Failure detectors are used to build high availability distributed systems as the fundamental component. To meet the requirement of a complicated large-scale distributed system, accrual failure detectors that can adapt to multiple applications have been studied extensively. However, several implementations of accrual failure detectors do not adapt well to the cloud service environment. To solve ...

The probabilistic approach has an important place in the wind energy research field as it provides cheap and fast initial information for experts with the help of simulations and estimations. Wind energy experts have been using the Weibull distribution for wind speed data for many years. Nevertheless, there exist cases, where the Weibull distribution is inappropriate with data presenting bimoda...

The clutter is always present in the radar signal, so it is important to generate models that give us the possibility to minimize its effect in the detection of targets in a radar space. In that way, it is focused this paper, where, we try to propose a model that generates discrete time coherent sequences with a Weibull distribution for its modulus and a Uniform distribution for its phase. The ...