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On Generalized Transmuted Lifetime Distribution

Author

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  • Alok Kumar Pandey

    (Central University of Punjab)

  • Alam Ali

    (Central University of Punjab)

  • Ashok Kumar Pathak

    (Central University of Punjab)

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.

Suggested Citation

  • Alok Kumar Pandey & Alam Ali & Ashok Kumar Pathak, 2025. "On Generalized Transmuted Lifetime Distribution," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 87(1), pages 249-291, May.
    • Handle: RePEc:spr:sankhb:v:87:y:2025:i:1:d:10.1007_s13571-025-00357-z
    DOI: 10.1007/s13571-025-00357-z
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    References listed on IDEAS

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    1. Qazi J. Azhad & Mohd. Arshad & Amit Kumar Misra, 2021. "Estimation of common location parameter of several heterogeneous exponential populations based on generalized order statistics," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(10), pages 1798-1815, July.
    2. M. Maswadah, 2022. "Improved maximum likelihood estimation of the shape-scale family based on the generalized progressive hybrid censoring scheme," Journal of Applied Statistics, Taylor & Francis Journals, vol. 49(11), pages 2825-2844, August.
    3. Caner Taniş & Buğra Saraçoğlu, 2023. "Cubic rank transmuted generalized Gompertz distribution: properties and applications," Journal of Applied Statistics, Taylor & Francis Journals, vol. 50(1), pages 195-213, January.
    4. Daniele Cristina Tita Granzotto & Francisco Louzada, 2015. "The Transmuted Log-Logistic Distribution: Modeling, Inference, and an Application to a Polled Tabapua Race Time up to First Calving Data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(16), pages 3387-3402, August.
    5. Fiaz Ahmad Bhatti & G. G. Hamedani & Mustafa Ç. Korkmaz & Munir Ahmad, 2018. "The transmuted geometric-quadratic hazard rate distribution: development, properties, characterizations and applications," Journal of Statistical Distributions and Applications, Springer, vol. 5(1), pages 1-23, December.
    6. Mojtaba Alizadeh & Seyyed Fazel Bagheri & Mohammad Alizadeh & Saralees Nadarajah, 2017. "A new four-parameter lifetime distribution," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(5), pages 767-797, April.
    7. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
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