Wind speed is the most important parameter in the design and study of the environmental impact assessment. The wind speed determines the concentration of any toxic pollutant released from any chemical industry. As the wind speed increases the concentration of the toxic pollutant at any location in the environment at any instant of time decreases. It is also known that as the wind speed increase...

The Weibull distribution is a very applicable model for the lifetime data. For inference about two Weibull distributions using records, the shape parameters of the distributions are usually considered equal. However, there is not an appropriate method for comparing the shape parameters in the literature. Therefore, comparing the shape parameters of two Weibull distributions is very important. I...

In this paper, a modified exponentiated family of distributions is introduced. The new model was built from continuous parent cumulative distribution function and depends on shape parameter. Its most relevant characteristics have been obtained: the probability density function, quantile moments, stochastic ordering, Poisson mixture with our proposal as mixing distribution, order statistics, tai...

Analytic and asymptotic properties of the generalized Student Lomax distributions are discussed, with main focus on representation these as scale mixtures laws that appear limit in classical theorems probability theory, such normal, folded exponential, Weibull, Fréchet distributions. These representations result possibility proving some for statistics constructed from samples random sizes which...

Several characterizations of a New Modified Weibull distribution, introduced by Doostmoradi et al. (2014), are presented. These characterizations are based on: (i) truncated moment of a function of the random variable (ii) the hazard function (iii) a single function of the random variable (iv) truncated moment of certain function of the 1st order statistic.

In many pharmaceutical studies, non-inferiority clinical trials are usually conducted because of the difficulty of finding a therapy that has more superior efficacy than a recognized effective one. When planning the non-inferiority clinical trials with a time-to-event endpoint, the calculation of sample size is one of the most fundamental steps. A proper sample size provides reasonable power to...