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...

In this paper, we study a resource allocation problem of economies with many commodities and single-peaked preferences. It is known that the uniform rule is the unique allocation mechanism satisfying strategy-proofness, Pareto efficiency and anonymity, if the number of good is only one and pereferences are single-peaked. (Sprumont [7].) However, if the number of goods is greater than one, the s...

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...

In this paper, the log-exponentiated Kumaraswamy (LEK) distribution is introduced and studied as a survival model of unemployment, its survived function has the interesting property that it can be decreasing depending on the shape parameters. The method of maximum likelihood is applied for estimating the model parameters, survival and hazard rate functions. Stratification is used to reduce hete...

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...

We analyze an ideal gas like models of a trading market. We propose a new fit for the money distribution in the fixed or uniform saving market. For the market with quenched random saving factors for its agents we show that the steady state income (m) distribution P (m) in the model has a power law tail with Pareto index ν exactly equal to unity, confirming the earlier numerical studies on this ...

We consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. A rule that has played a central role in the analysis of the problem is the so-called uniform rule. Chun (2001) proves that the uniform rule is the only rule satisfying Pareto optimality, no-envy, separability, and Ω-continuity. We obtain an alternative characterizatio...