This article introduces a new family of Generalized Exponentiated Exponential distribution. Using the T-R{Y} framework, T-Exponentiated Exponential{Y} distributions named Exponential{Frechet} is proposed. Some general properties such as hazard rate function, quantile non-central moment, mode, mean absolute deviations and Shannon’s entropy are discussed. A continuous univariate probability distr...

The failure and repair of modules in an N-Modular Redundant (NMR) system are governed by a failure time distribution and repair time distribution, respectively. It is generally reasonable to assume that a module’s failure time distribution is a simple exponential distribution. However, it is not reasonable to assume that the repair time distribution is also exponential. Reliability models with ...

In Statistical Process Control (SPC) there exists a need to model the run-length distribution of a Q-chart that monitors the process mean when measurements are from an exponential distribution with an unknown parameter. To develop exact expressions for the probabilities of run-lengths the joint distribution of the charting statistics is needed. This gives rise to a new distribution that can be ...

Here presented is constructive generalization of exponential Euler polynomial and exponential splines based on the interrelationship between the set of concepts of Eulerian polynomials, Eulerian numbers, and Eulerian fractions and the set of concepts related to spline functions. The applications of generalized exponential Euler polynomials in series transformations and expansions are also given.

In a wide subclass of generalized order statistics, representations of marginal density and distribution functions are developed. The results are applied to obtain several relations, such as recurrence relations, and explicit expressions for the moments of generalized order statistics from Pareto, power function and Weibull distributions. Moreover, characterizations of exponential distributions...

We discuss parameters of Goppa codes, such as minimum distance, covering radius, distance distribution, and generalized Hamming weights. By a variation on the exponential sums method and combinatorial arguments, we sharpen known bounds.

In this paper the kurtosis of the logistic-exponential distribution is analyzed. All the moments of this survival distribution are finite, but do not possess closed-form expressions. The standardized fourth central moment, known as Pearson’s coeffi cient of kurtosis and often used to describe the kurtosis of a distribution, can thus also not be expressed in closed form for the logistic-exponent...

This paper studies supply chain repairable system with a number of the same type of independent parts suppliers and the single demander. Suppose that the supply time of the component suppliers has exponential distribution, and the repair/restore time after the supply break has general continuous distribution. Using supplementary variable method, generalized Markov process theory and the Laplace...