Inference for an exponentiated half logistic distribution with application to cancer hybrid censored data. (English) Zbl 1489.62318
Summary: In this paper, based on hybrid censored sample from a two parameter exponentiated half logistic distribution, we consider the problem of estimating the unknown parameters using frequentist and Bayesian approaches. Expectation-Maximization, Lindley’s approximation and Metropolis-Hastings algorithms are used for obtaining point estimators and corresponding confidence intervals for the shape and scale parameters involved in the underlying model. Data analyses involving the survival times of patients suffering from cancer diseases and treated radiotherapy and/or chemotherapy have been performed. Finally, numerical simulation study was conducted to assess the performances of the so developed methods and conclusions on our findings are reported.
MSC:
| 62N05 | Reliability and life testing |
| 62E10 | Characterization and structure theory of statistical distributions |
| 62F10 | Point estimation |
| 62F15 | Bayesian inference |
| 62F25 | Parametric tolerance and confidence regions |
| 62N02 | Estimation in survival analysis and censored data |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
Keywords:
Bayesian estimation; credible intervals; hybrid type I censoring; Lindley’s method; maximum likelihood estimation; Metropolis-Hastings algorithmReferences:
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