<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The problem of estimating lifetime distribution parameters under progressively Type-II censoring originated in the context of reliability. But traditionally it is assumed that the available data from this censoring scheme are performed in exact numbers. However, some collected lifetime data might be imprecise and are represented in the form of fuzzy numbers. Thus, it is necessary to generalize classical statistical estimation methods for real numbers to fuzzy numbers. This paper deals with the estimation of lifetime distribution parameters under progressively Type-II censoring scheme when the lifetime observations are reported by means of fuzzy numbers. A new method is proposed to determine the maximum likelihood estimates of the parameters of interest. The methodology is illustrated with two popular models in lifetime analysis, the Rayleigh and Lognormal lifetime distributions.</p></abstract>

The problem of estimating lifetime distribution parameters under progressively Type-II censoring originated in the context of reliability. But traditionally it is assumed that the available data from this censoring scheme are performed in exact numbers. However, some collected lifetime data might be imprecise and are represented in the form of fuzzy numbers. Thus, it is necessary to generalize classical statistical estimation methods for real numbers to fuzzy numbers. This paper deals with the estimation of lifetime distribution parameters under progressively Type-II censoring scheme when the lifetime observations are reported by means of fuzzy numbers. A new method is proposed to determine the maximum likelihood estimates of the parameters of interest. The methodology is illustrated with two popular models in lifetime analysis, the Rayleigh and Lognormal lifetime distributions.

Estimating the parameters of lifetime distributions under progressively Type-II censoring from fuzzy data

Department of Statistics, University of Isfahan, Isfahan, 81746-73441, Iran

Department of Statistics, Malayer University, Malayer, Iran

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The problem of estimating lifetime distribution parameters under progressively Type-II censoring originated in the context of reliability. But traditionally it...

Estimating the parameters of lifetime distributions under progressively Type-II censoring from fuzzy data

Published Online: Jun 11, 2016

Page range: 41 - 53

DOI: https://doi.org/10.1515/jamsi-2016-0004

Keywords
Progressive Type-II censoring, Fuzzy lifetime data, Maximum likelihood estimation, EM algorithm

© 2016 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Estimating the parameters of lifetime distributions under progressively Type-II censoring from fuzzy data

Published Online: Jun 11, 2016

Page range: 41 - 53

DOI: https://doi.org/10.1515/jamsi-2016-0004

KeywordsProgressive Type-II censoring, Fuzzy lifetime data, Maximum likelihood estimation, EM algorithm

© 2016 Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Progressive Type-II censoring, Fuzzy lifetime data, Maximum likelihood estimation, EM algorithm