In this paper, we introduce a new Bathtub shaped failure rate model named as x-Exponantial Model and present a comparative study with Generalized Lindley, Generalized Gamma and Exponentiated Weibull distributions.

We introduce a new five-parameter distribution called the beta exponentiated Gumbel (BEG) distribution that includes the beta Gumbel, exponentiated Gumbel and Gumbel distribution. Expressions for the distribution function, density function and rth moment of the new distribution and order statistics are obtained. We discuss estimation of the parameters by maximum liklelihood ...

Abstract Our paper consists of two main parts. In the first one, we deal with the deterministic problem of minimizing a real valued function f over the Pareto set associated with a deterministic convex bi-objective optimization problem (BOP), in the particular case where f depends on the objectives of (BOP), i.e. we optimize over the Pareto set in the Outcome space. In general, the optimal valu...

This paper studies three related algorithms: the (traditional) Gradient Descent (GD) Algorithm, the Exponentiated Gradient Algorithm with Positive and Negative weights (EG algorithm) and the Exponentiated Gradient Algorithm with Unnormalized Positive and Negative weights (EGU algorithm). These algorithms have been previously analyzed using the “mistake-bound framework” in the computational lear...

In this paper, we propose a Multiple Dependent State Sampling (MDSS) plan for decision-making on lot acceptance/rejection based properties of current and preceding lots sampled. The uses the Odd Log-Logistic Generalized Exponentiated (OLLGE) distribution to determine median life product through truncated-time test. Optimal parameters such as sample size, numbers, are obtained using operating ch...

background and purpose: the identification of genetics risk factors of human diseases is very important. this study is conducted to model the allele frequencies (afs) of alzheimer’s disease. materials and methods: in this study, several candidate probability distributions are fitted on a data set of alzheimer’s disease genetic risk factor. unknown parameters of the considered distributions are ...