In this paper, we recognize the relation between the generalized α − λ − η − μ and η − μ fading distributions. We present an approximate technique providing the reduction of the α − λ − η − μ distribution to the generalized gamma distribution. For integer values of the fading parameter μ, we prove that the probability density function (PDF) of the α − λ − η − μ distribution is expressed via a l...

A method for probability density function (PDF) estimation using Bayesian mixtures of weighted gamma distributions, called the Dirichlet process gamma mixture model (DP-GaMM), is presented and applied to the analysis of a laser beam in turbulence. The problem is cast in a Bayesian setting, with the mixture model itself treated as random process. A stick-breaking interpretation of the Dirichlet ...

fitting of regression models to life data, where the life distribution location parameter is a linear function of covariates. The fitting yields maximum likelihood estimates of parameters of a regression model with a Weibull, exponential, extreme value, normal, lognormal, logistic, loglogistic, or generalized gamma distribution. The data can be complete, right censored, left censored, or interv...

The analyzing and modeling real lifetime data are crucial in many applied sciences including medicine, engineering, insurance and finance, amongst others. The two important one parameter lifetime distributions namely exponential and Lindley [2] are popular for modeling lifetime data from biomedical science and engineering. Recently, Shanker et al. [3] have conducted a comparative and critical s...

• m, the length (in bits) of the private key to be generated. • ǫ, the maximum threshold value for the error rate during the quantum transmission (ǫ < 1/4). • τ , a security constant such that ǫ 1−ǫ < ǫ 1−ǫ + τ < 1. • the security parameter r. It must be large enough so that Alice and Bob can find a binary matrix K of size m × r such that any linear combination of rows of K that contains at lea...

The first part of this paper presents two efficient cryptographic protocols, based on quantum entanglement, for secure exchange of secret keys. While the first protocol requires storage of entangled qubits, the second protocol has no storage requirements and presents a probabilistic model. We show that there is a tradeoff between security against eavesdropping and the efficiency of the protocol...

We shall first review some non-normal stationary first-order autoregressive models. The models are constructed with a given marginal distribution (logistic, hyperbolic secant, exponential, Laplace, or gamma) and the requirement that the bivariate joint distribution of the generated process must be sufficiently simple so that the parameter estimation and forecasting problems of the models can be...

the phenomena of extensive air shower (eas) are produced by the collision of primary cosmic rays (cr) with energy more than ev with the atmospheric molecules. as a result the electron and muon components (cascades) of eas develop through the air.  the study of such cascades gives important information about the primary cr mass composition as well as its astrophysical origin models. one of the e...

Methods are presented for obtaining maximum likelihood estimates and tests of hypotheses involving the three-parameter kappa distribution. The obtained methods are then applied by fitting this distribution to realized sets of precipitation and streamflow data and testing for seeding effect differences between realized seeded and nonseeded sets of precipitation data. The kappa distribution appea...