Statistical Inference for Truncated Inverse Lomax Distribution and its Application to Survival Data

Abhimanyu Singh Yadav (), Shivanshi Shukla and Amrita Kumari
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Abhimanyu Singh Yadav: Central University of Rajasthan
Shivanshi Shukla: Central University of Rajasthan
Amrita Kumari: Central University of Rajasthan

Annals of Data Science, 2022, vol. 9, issue 4, No 8, 829-845

Abstract: Abstract In this article, truncated version of the inverse Lomax distribution has been introduced. Different statistical properties such as survival, hazard rate, reverse hazard rate, cumulative hazard rate, quantile function of the new distribution have been derived. Order statistics is also discussed. Secondly, various classical estimation procedures are used to estimate the unknown parameter of the model with the effect of truncation. Monte Carlo simulation study has been conducted for different variation of the model parameters to compare the performances of the estimators obtained by different methods of estimation. Finally, a cancer data set is used to illustrate the practical applicability of the proposed model.

Keywords: Inverse Lomax distribution; Truncated inverse Lomax distribution; Characteristics; Classical methods of estimation; 60E05; 62F10 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s40745-019-00235-2

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