Right Truncated Lomax Distribution: Properties and Estimation | ||||
| The Egyptian Statistical Journal | ||||
| Article 3, Volume 65, Issue 1, June 2021, Page 43-55 PDF (413.16 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.2021.315900 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Mohamed A. H. Sabry; A. Elseherty | ||||
| Faculty of Graduate Studies for Statistical Research, Cairo University, Egypt | ||||
| Abstract | ||||
| In this paper, we propose the truncated Lomax distribution. Fundamental properties of the new distribution are studied such as; moments, moment generating and characteristic function, quantile function, incomplete moments, Lorenz and Bonferroni curves, order statistics and Rényi entropy. Maximum likelihood estimators are derived in case of complete sample, Type I and Type II censored samples. An approximate confidence interval of the parameters is obtained for large sample sizes. Simulation issue is executed in order to investigate the performance of estimators. | ||||
| Keywords | ||||
| Lomax distribution; Maximum likelihood method; Type I censoring and Type II censoring | ||||
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