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A New Generalized Class of Distributions: Properties and Estimation Based on Type-I Censored Samples

  • Zubair AhmadEmail author
Article

Abstract

This article introduces a new generalized family of distributions, which is a generalization of the exponentiated and transmuted family of distributions. A special model of this family, namely, new generalized Weibull distribution is considered in detail. General expressions for the mathematical properties of the proposed family are derived. Maximum likelihood estimates of the unknown parameters are obtained. A simulation study is done to evaluate the performances of the maximum likelihood estimators. Furthermore, estimation based on Type-I censored samples is also discussed. Finally, the superiority of the new proposal is illustrated empirically by analyzing a real-life application.

Keywords

Exponentiated family Transmuted family Weibull distribution Type-I censoring scheme Order statistics Maximum likelihood estimation 

Notes

Acknowledgements

I am so grateful to the Editorial Board and to the reviewers for their valuable comments and suggestions which led to this improved version.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of StatisticsQuaid-i-Azam University 45320IslamabadPakistan

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