A two parameter generalization of the Inverse Rayleigh distribution capable of modeling bathtub hazard rate function is defined and studied with application to reliability data. A comprehensive account of the mathematical properties of the modified Inverse Rayleigh distribution including estimation and simulation with its reliability behavior are discussed. An application is presented to illust...

In this paper, an extension of the power half-normal (PHN) distribution is introduced. This new model built on application slash methodology for positive random variables. The result a with greater kurtosis than PHN; i.e., its right tail heavier PHN distribution. Its probability density, survival and hazard rate function are studied, moments, skewness coefficientes obtained, along relevant prop...

Based on the increasing property of ratio of average reversed hazard rates of two non-negative random variables a new stochastic order for the sake of comparison of two lifetime distributions is proposed. This stochastic order admits some distinguishing properties. In order to illustrate the obtained results, a semi-parametric model which is called reverse hazard power and a mixture model of pr...

In this paper, the Extended Half-Power Exponential (EHPE) distribution is built on basis of Power model. The properties EHPE model are discussed: cumulative function, hazard moments, and skewness kurtosis coefficients. Estimation carried out by applying maximum likelihood (ML) methods. A Monte Carlo simulation study to assess performance ML estimates. To illustrate usefulness applicability dist...

Abstract Before signals of a digital circuit reach steady state gates can have multiple transitions Since the power is dissipated in a CMOS circuit mainly due to transitions the extra transitions increase power consump tion These transitions are the hazard pulses generated by logic gates when signals arrive by paths of varying de lays The maximum width of a hazard pulse produced by a gate is th...

Given that a unit is of age ‘t’ the remaining life after time t is random. It is well known that the class of distribution with decreasing mean residual life (DMR), contains the class of distribution with increasing hazard rate. If exponential length-biased approximations, bounds and stability results on the distance between residual life reliability functions, with monotone weight functions an...

The Weibull distribution has been used in many different fields with many applications. Researchers have been developing various extensions and modified forms of the Weibull distribution, with different number of parameters. In this paper the Transmuted Additive Weibull distribution is used to find out the hazard rate function for the activation of the hypothalamic – pituitary – adrenal axis in...

Abstract This note focuses on a new one-parameter unit probability distribution centered around the inverse cosine and power functions. A special case of this has exact function as density function. To our knowledge, despite obvious mathematical interest, such never been considered in Probability Statistics. Here, we fill gap by pointing out main properties proposed distribution, from both theo...

the ever increasing rate of power consumption has led to an increase in public exposure to extremely low frequency magnetic fields (elf-mfs) and brought severe concerns about their health effects. considering previous studies and the facts about potential health effects of these fields, the present study aimed to evaluate the elf-mf flux densities from power distribution lines near hospitals i...

Most analysis of market power assumes that managers are perfect agents for shareholders. This paper relaxes that assumption. When managers of a multi-product firm exert unobservable effort to improve product quality, price coordination incentives tradeoff with effort incentives. This makes some intra-firm price competition optimal, explaining why many multi-product firms allow for competition b...