We propose a new family of continuous distributions called the odd generalized exponential family, whose hazard rate could be increasing, decreasing, J, reversed-J, bathtub and upside-down bathtub. It includes as a special case the widely known exponentiated-Weibull distribution. We present and discuss three special models in the family. Its density function can be expressed as a mixture of exp...

Problem Statement: The four-parameter exponentiated generalized Lomax distribution has been introduced. The uniformly minimum variance unbiased and maximum likelihood estimation methods are the way to estimate the parameters of the distribution. In this study we explore and compare the performance of the uniformly minimum variance unbiased and maximum likelihood estimators of the reliability fu...

The main aim of this article is to characterize and investigate the three parameter exponentiated exponential Poisson probability distribution EEP(α, β, λ) by giving explicit closed form expressions for its characteristic function φξ(t) and moment generating function Mξ(t), and finally, to show that the existing series and integral form expressions for positive integer order moments Eξ , ν ∈ N ...

This paper considers the three-parameter exponentiated Weibull family under type II censoring. It first graphically illustrates the shape property of the hazard function. Then, it proposes a simple algorithm for computing the maximum likelihood estimator and derives the Fisher information matrix. The latter one is represented through a single integral in terms of hazard function, hence it solve...

This paper introduces and evaluates a natural extension of linear exponentiated gradient methods that makes them applicable to reinforcement learning problems. Just as these methods speed up supervised learning, we nd that they can also increase the ef-ciency of reinforcement learning. Comparisons are made with conventional reinforcement learning methods on two test problems using CMAC function...

The reliability equivalence factors of parallel system with n independent and identical components will be discussed. The failure rates of the system components are functions of time and follow the exponentiated exponential distribution. We shall introduce two different methods to improve the system designs. The first is the reduction method and the second is called redundancy method which is c...