Statistical inferences based on an adaptive progressive type-II censoring from exponentiated exponential distribution | Zendy

Saieed F. Ateya | Zendy; Heba S. Mohammed | Zendy

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Statistical inferences based on an adaptive progressive type-II censoring from exponentiated exponential distribution

Author(s) -

Saieed F. Ateya,

Heba S. Mohammed

Publication year - 2017

Publication title -

journal of the egyptian mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2090-9128

pISSN - 1110-256X

DOI - 10.1016/j.joems.2017.06.001

Subject(s) - censoring (clinical trials) , mathematics , statistics , exponential distribution , bayes' theorem , exponential function , interval estimation , confidence interval , point estimation , bayesian probability , mathematical analysis

In this paper, the estimation problem (point and interval) is studied under the exponentiated exponential (EE) distribution based on an adaptive progressive type-II censoring scheme. In point estimation, the maximum likelihood estimates (MLEâ²s) and Bayes estimates (BEâ²s), based on squared error (SE) and linear exponential (LINEX) loss functions, are computed. Also, the approximate confidence intervals for the parameters of EE distribution are obtained. A comparison study is made between the BEâ²s and MLEâ²s using the estimated risks (ERâ²s) criterion. Finally, point and interval estimations of all parameters are studied based on a generated adaptive type-II progressive censoring sample from a real data set as illustrative example. Keywords: Exponentiated exponential distribution, Adaptive progressive type-II censoring, Markov Chain Monte Carlo method, MSC: 62F10, 62F15, 62N01, 62N0

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