Estimation in Step-stress Partially Accelerated Life Test for Exponentiated Pareto Distribution under Progressive Censoring with Random Removal
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 1
Abstract
Accelerated life testing or partially accelerated life testing is generally used in manufacturing industries since it affords significant minimization in the cost and test time. In this paper, a step-stress partially accelerated life test under progressive type-II censoring with random removals is considered. The lifetime of testing items under use condition follow the exponentiated Pareto distribution and the removals from the test are assumed to have binomial distribution. Maximum likelihood estimators for the model parameters and acceleration factor are obtained. Approximate confidence intervals for the parameters are formed via the normal approximation to the asymptotic distribution of maximum likelihood estimators. Simulation study is carried out to investigate the performance of estimators for different parameters values and sample size.
Authors and Affiliations
Amal S. Hassan, Marwa Abd-Allah, Hamdy G. A. El-Elaa
Keywords
Related Articles
- EP ID EP322414
- DOI 10.9734/JAMCS/2017/34691
- Views 85
- Downloads 0
Research on the Dual Problem of Trust Region Bundle Method
With the rapid development of science and technology as well as the cross-integration between the various disciplines, the nonsmooth optimization problem plays an increasingly important role in operational research. In t...
Second derivative Hybrid Block Backward Differentiation Formulae for Numerical Solution of Stiff Systems
In this research work, two and three step second derivative hybrid block backward differentiation formulae (SDHBBDF) method of order 6 and 7 are presented for the numerical solution of stiff initial value problems. The b...
Fuzzy Tangle Graph
We will study anew graph, this graph called fuzzy tangle graph, we will study the matrices which represent this graph, and we will discuss the relation between fuzzy tangle graph and dual fuzzy tangle graph. In fuzzy tan...
Comparison among Unstructured TVD, ENO and UNO Schemes in Two-dimensions
In this work, unstructured TVD, ENO and UNO schemes are applied to solve the Euler equations in two-dimensions. They are implemented on a finite volume context and cell centered data base. The algorithms of Yee, Warming...
Oscillation of Second Order Difference Equation with a Superlinear Neutral Term
This paper deals with oscillation of certain class of second order difference equation with a superlinear neutral term. Using comparison method some new oscillation criteria are obtained. Examples are included to illustr...