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.

istribution of Lindley distribution constructed by combining the cumulative function (cdf) Lomax and distributions. Some mathematical properties new are discussed including moments, quantile moment generating function. Estimation model parameters is carried out using maximum likelihood method. Finally, real data examples presented to illustrate usefulness applicability this distribution.

The main aim of the present study is to optimize steel moment frames in the framework of performance-based design and to assess the seismic collapse capacity of the optimal structures. In the first phase of this study, four well-known metaheuristic algorithms are employed to achieve the optimization task. In the second phase, the seismic collapse safety of the obtained optimal designs is evalua...

This article develops a beta-exponentiated Ishita distribution that extends the exponentiated Ishita distribution. Expansions for cumulative and probability density functions are given. Various properties of new such as hazard function, moments, cumulants, skewness, kurtosis, mean deviations, Bonferroni Lorenz curves, Renyi Tsallis entropies, stress-strength reliability discussed. Moment ...

UNLABELLED In this paper, we propose a five-parameter lifetime model called the McDonald exponentiated gamma distribution to extend beta exponentiated gamma, Kumaraswamy exponentiated gamma and exponentiated gamma, among several other models. We provide a comprehensive mathematical treatment of this distribution. We derive the moment generating function and the rth moment. We discuss estimation...

The exponentiated gamma (EG) distribution is one of the important families of distributions in lifetime tests. In this paper, a new generalized version of this distribution which is called Transmuted exponentiated gamma (TEG) distribution is introduced. A new distribution is more flexible and has some interesting properties. A comprehensive mathematical treatment of the TEG distribution is prov...

Van Dorp and Kotz (2003) introduced a general class of two-sided power distribution. We provide several examples of this distribution by considering a non negative, non decreasing differentiable function g on 0 1 satisfying g 1 − g 0 = 1. For the considered distributions the maximum likelihood estimation and moment estimation of parameters are obtained. Moments, moment generating functions, and...

We present here a method for the study of stochastic neurodynamics in the framework of the "Neural Network Master Equation" proposed by Cowan. We consider a model neural network composed of two{state neurons subject to simple stochastic kinetics. We introduce a method based on a spin choerent state path integral to compute the moment generating function of such a network. A formal construction ...

We examine the distribution of the global maximum of an independent superadditive process with negative drift. We show that, under certain conditions, the distribution’s upper tail decays exponentially at a certain rate that can be characterized as the unique positive zero of some limiting logarithmic moment generating function. This limiting logarithmic moment generating function in some sense...

4Ve describe the exact statistics of an optically preamplified direct detection receiver by means of the moment generating function. The theory allows an arbitrary shaped electrical filter in the receiver circuit. The moment generating function (MGF) allows for a precise calculation of the error rate by using the inverse Fast Fourier transform (FFT). The exact results are compared with the usua...