We introduce a new distribution, so called A generalized modified Weibull (NGMW) distribution. Various structural properties of the distribution are obtained in terms Meijer's $G$--function, such as moments, moment generating function, conditional mean deviations, order statistics and maximum likelihood estimators. The exhibits wide range shapes with varying skewness assumes all possible forms ...

Abstract The compounded Bell generalized class of distributions is proposed in this article as an alternative to the Poisson family distributions. Some properties and actuarial measures are presented. a special model named Weibull (BellW) obtained such linear representation density, r th moment, incomplete moment generating function using Wright hypergeometric Meijer’s G function, p order stati...

The research presents a procedure of the closed-form average bit error rate evaluation for wireless communication systems in presence multipath fading. A generalization classical moment generating function is applied, and connection between Hankel-type contour-integral representation Marcum Q-function Gauss obtained applied to analytic derivation quadrature amplitude modulated signal Nakagami-m...

The physical meaning of the composite Nakagami-lognormal fading model is not well understood by many researchers using the model. The signal power transfer and transform at the interface between the global lognormal shadowing sub-channels and the local Nakagami multipath sub-channels in the presence of correlation between these diversity sub-channels is rather complex. This is the main reason w...

We quantify the performance of wireless transmissions over random fading channels at high SNR. The performance criteria we consider are average probability of error and outage probability. We show that as functions of the average SNR, they can both be characterized by two parameters: the diversity and coding gains. They both exhibit identical diversity orders, but their coding gains in dB diffe...

We introduce noncommutative extensions of the Fourier transform of probability measures and its logarithm in the algebra A(S) of complex-valued functions on the free semigroup on two generators S = FS({z,w}). First, to given probability measures μ, ν whose all moments are finite, we associate states μ̂, ν̂ on the unital free *-bialgebra (B, ǫ,∆) on two self-adjoint generators X,X ′ and a projecti...

We consider discrete-time Markov chains and study large deviations of the pair empirical occupation measure, which is useful to compute fluctuations pure-additive jump-type observables. provide an exact expression for finite-time moment generating function, split in cycles paths contributions, scaled cumulant function measure via a graph-combinatorial approach. The obtained allows us give physi...

In this paper, we introduce a new two-parameter lifetime distribution based on arctan function which is called weighted Half-Logistic (WHL) distribution. Theoretical properties of model including quantile function, extreme value, linear combination for pdf and cdf, moments, conditional moment generating mean deviation are derived studied in details. The maximum likelihood estimates parameters c...

We give two combinatorial interpretations of the Matrix Ansatz of the PASEP in terms of lattice paths and rook placements. This gives two (mostly) combinatorial proofs of a new enumeration formula for the partition function of the PASEP. Besides other interpretations, this formula gives the generating function for permutations of a given size with respect to the number of ascents and occurrence...

In this paper, a new lifetime distribution is proposed. Various statistical properties of the proposed such as survival function, hazard rate mean residual life moments, moment generating Bonferroni curve, Lorenz and order statistic are presented. The Bayesian estimator parameter derived. behavior assessed by simulation study. Furthermore, regression model developed based on distribution. Some ...