Estimating the parameter of Exponential distribution under Type-II censoring from fuzzy data

DOI

10.2991/jsta.2016.15.2.8How to use a DOI?

Keywords

Type-II censoring; Fuzzy lifetime data; Exponential distribution; Maximum likelihood estimation; Bayes estimator.

Abstract

Statistical analysis of lifetime distributions under Type-II censoring scheme is based on precise lifetime data. However, in real situations all observations and measurements of Type-II censoring scheme are not precise numbers but more or less non-precise, also called fuzzy. This paper deals with the estimation of exponential mean parameter under Type-II censoring scheme when the lifetime observations are fuzzy and are assumed to be related to underlying crisp realization of a random sample. We use Newton-Raphson algorithm as well as EM algorithm to determine the maximum likelihood estimate (MLE) of parameter.We also obtain the estimate, via moment method and Bayesian procedure, of the unknown parameter. In addition, a new numerical method for parameter estimation is provided. Monte Carlo simulations are performed to investigate performance of the different methods. Finally, an example is presented in order to illustrate the methods of inference discussed here.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Nayereh Bagheri Khoolenjani
AU  - Fateme Shahsanaie
PY  - 2016
DA  - 2016/06/01
TI  - Estimating the parameter of Exponential distribution under Type-II censoring from fuzzy data
JO  - Journal of Statistical Theory and Applications
SP  - 181
EP  - 195
VL  - 15
IS  - 2
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2016.15.2.8
DO  - 10.2991/jsta.2016.15.2.8
ID  - Khoolenjani2016
ER  -