In this paper, we introduce a new class of bivariate distributions by compounding the bivariate generalized exponential and power-series distributions. This new class contains some new sub-models such as the bivariate generalized exponential distribution, the bivariate generalized exponential-poisson, -logarithmic, -binomial and -negative binomial distributions. We derive different properties o...

Abstract: The exponential distribution is a popular model in applications to real data. We propose a new extension of this distribution, called the Lomax-exponential distribution, which presents greater flexibility to the model. Also there is a simple relation between the Lomax-exponential distribution and the Lomax distribution. Results for moment, limit behavior, hazard function, Shannon entr...

A generalized probability distribution is developed which served as a general formula for some well known probability distributions such as weibull, exponential, rayleigh. gamma, log-nonnal. pareto. maxwell, generalized laplace etc. Besides aforesaid probahility distributions, a family of new disuibutions can also be derived from it. The statistical properties viz. moments and moment generating...

Abstract: The linear exponential distribution is a very well-known distribution for modeling lifetime data in reliability and medical studies. We introduce in this paper a new four-parameter generalized version of the linear exponential distribution which is called Kumaraswamy linear exponential distribution. We provide a comprehensive account of the mathematical properties of the new distribut...

The main purpose of this paper is to evaluate the effect of crude oil price on global fertilizer prices in both the mean and volatility. The endogenous structural breakpoint unit root test, the autoregressive distributed lag (ARDL) model, and alternative volatility models, including the generalized autoregressive conditional heteroskedasticity (GARCH) model, Exponential GARCH (EGARCH) model, an...

Rameshwar D. Gupta was the speaker of a seminar titled “Generalized Exponential Distributions”. Gupta received his PhD degree in statistics from Dalhousie University in 1973. He worked in the University of the West Indies, University of Saskatchewan. He joined the University of New Brunswick in 1980. He has received the Merit Award at the University of New Brunswick at Saint John four times. Pr...

The α-μ distribution is a generalized fading distribution which explores nonlinearities of the wireless propagation medium. This distribution includes the other distributions such as Gamma, Nakagami, exponential, Gaussian, Rayleigh etc. This makes α-μ distribution very interesting. In this paper probability density function and performance metrics such as outage and bit error rate of α-μ distri...

The exponential distribution provides a simple, elegant and closed form solution to many problems in lifetime testing and reliability studies. One reason for the wide popularity of the exponential distribution in reliability is that it is the limiting lifetime distribution of a series system of substantially similar components. Also the exponential distribution is important due to its memory lo...