On Generalized Transmuted Lifetime Distribution

Alok Kumar Pandey, Alam Ali and Ashok Kumar Pathak ()
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Alok Kumar Pandey: Central University of Punjab
Alam Ali: Central University of Punjab
Ashok Kumar Pathak: Central University of Punjab

Sankhya B: The Indian Journal of Statistics, 2025, vol. 87, issue 1, No 10, 249-291

Abstract: Abstract This article presents a new class of generalized transmuted lifetime distributions which includes a large number of lifetime distributions as sub-family. Several important mathematical quantities such as density function, distribution function, quantile function, moments, moment generating function, stress-strength reliability function, order statistics, Rényi and q-entropy, residual and reversed residual life function, and cumulative information generating function are obtained. The methods of maximum likelihood, ordinary least square, weighted least square, Cramér-von Mises, Anderson Darling, and Right-tail Anderson Darling are considered to estimate the model parameters in a general way. Further, well-organized Monte Carlo simulation experiments have been performed to observe the behavior of the estimators. Finally, two real data sets have also been analyzed to demonstrate the effectiveness of the proposed distribution in real-life modeling.

Keywords: Lifetime distribution; Transmuted family; Order statistics; Reliability function; Estimation methods; Primary 60E05; 62F10; Secondary 62E15; 65C05; 33B20 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13571-025-00357-z

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