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Exact likelihood inference for two populations from two-parameter exponential distributions under joint Type-II censoring

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  • Yahia Abdel-Aty

Abstract

In this article, we develop exact inference for two populations that have a two-parameter exponential distribution with the same location parameter and different scale parameters when Type-II censoring is implemented on the two samples in a combined manner. We obtain the conditional maximum likelihood estimators (MLEs) of the three parameters. We then derive the exact distributions of these MLEs along with their moment generating functions. Based on general entropy loss function, Bayesian study about the parameters is presented. Finally, some simulation results and an illustrative example are presented to illustrate the methods of inference developed here.

Suggested Citation

  • Yahia Abdel-Aty, 2017. "Exact likelihood inference for two populations from two-parameter exponential distributions under joint Type-II censoring," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(18), pages 9026-9041, September.
  • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:18:p:9026-9041
    DOI: 10.1080/03610926.2016.1200093
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    Cited by:

    1. Leijia Ding & Wenhao Gui, 2023. "Statistical Inference of Two Gamma Distributions under the Joint Type-II Censoring Scheme," Mathematics, MDPI, vol. 11(9), pages 1-23, April.
    2. Yahia Abdel-Aty & Mohamed Kayid & Ghadah Alomani, 2023. "Generalized Bayes Estimation Based on a Joint Type-II Censored Sample from K-Exponential Populations," Mathematics, MDPI, vol. 11(9), pages 1-11, May.

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