References

1. A.L. Bowley; Elements of Statistics, Volume 2, P. S. King & Son, Limited, (1920).
2. A.S Praveena and S. Ravi; On the Exponential Max-Domain of Attraction of the Standard Log-Fréchet Distribution and Subexponentiality. Sankhya A: The Indian Journal of Statistics, 85(2), 1607-1622 (2023).
3. A.W. Marshall and I. Olkin; A New Method for Adding a Parameter to a Family of Distributions with Application to the Exponential and Weibull Families. Biometrika, 84(3), 641–652 (1997).
4. C.E.  Shannon; Prediction and Entropy of Printed English. The Bell System Technical Journal, 30(1), 50–64 (1951).
5. C. Kus; A New Lifetime Distribution. Computational Statistics & Data Analysis, 51(9), 4497-4509 (2007).
6. G.M. Cordeiro; E.M.M. Ortega and C.C. Daniel; The Exponentiated Generalized Class of Distributions. Journal of Data Science, 11, 1–27 (2013).
7. G.S. Mudholkar; D.K. Srivastava and G.D. Kollia; Exponentiated Weibull Family for Analyzing Bathtub Failure-Rate Data. IEEE Transactions on Reliability, 42(2), 299–302 (1993).
8. J.J.A. Moors; A Quantile Alternative for Kurtosis. Journal of the Royal Statistical Society: Series D (The Statistician), 37(1), 25–32 (1988).
9. K. Adamidi and S. Loukas; A Lifetime Distribution with Decreasing Failure Rate. Statistics & Probability Letters, 39(1), 35–42 (1998).
10. M. Chahkandi and M. Ganjali; On Some Lifetime Distributions with Decreasing Failure Rate. Computational Statistics & Data Analysis, 53(12), 4433–4440 (2009).
11. M.E. Ghitany; B. Atieh and S. Nadarajah; Lindley Distribution and Its Application. Mathematics and Computers in Simulation, 78(4), 493-506 (2008).
12. M.V.  Aarset; How to Identify a Bathtub Hazard Rate. IEEE Transactions on Reliability, 36(1), 106–108 (1987).
13. O. Barndorff-Nielsen; Exponentially Decreasing Distributions for the Logarithm of Particle Size. Proceedings of the Royal Society of London, Series A, Mathematical and Physical, 353(1674), 401–419 (1977).
14. P. Kumaraswamy; Generalized Probability Density Function for Double Random Processes. Journal of Hydrology, 46(1-2), 79–88 (1980).
15. R Core Team; R: A Language and Environment for Statistical Computing, R Foundation for Statistical Computing, Vienna, Austria (2022). URL: http://www.R-project.org/
16. R.C. Gupta; P.L. Gupta and R.D. Gupta; Modeling Failure Time Data by Lehmann Alternatives. Communications in Statistics-Theory and Methods, 27(4), 887–904 (1998).
17. R.E. Glaser; Bathtub and Related Failure Rate Characterizations. Journal of the American Statistical Association, 75(371), 667–672 (1980).
18. R. Tahmasbi and S. Rezaei; A Two-Parameter Lifetime Distribution with Decreasing Failure Rate. Computational Statistics & Data Analysis, 52(8), 3889–3901 (2008).
19. S.K. Maurya; A. Kaushik; R.K. Singh; S.K. Singh and U. Singh; A New Method of Proposing Distribution and Its Application to Real Data. Imperial Journal of Interdisciplinary Research, 2(6), 1331–1338 (2016).
20. S.K. Maurya; A. Kaushik; S.K. Singh and U. Singh; A New Class of Distribution having Decreasing, Increasing, and Bathtub-Shaped Failure Rate. Communications in Statistics-Theory and Methods, 46(20), 10359–10372 (2017a).
21. S.K. Maurya; A. Kaushik; R.K. Singh; S.K. Singh and U. Singh; A New Class of Exponential Transformed Lindley Distribution and Its Application to Yarn Data. International Journal of Statistics & Economics, 18(2), 135–151 (2017b).
22. S.K. Maurya and S. Nadarajah; Poisson Generated Family of Distributions: A Review. Sankhya B: The Indian Journal of Statistics, 83(2), 484–540 (2021).
23. S. Nadarajah and F. Haghighi; An Extension of the Exponential Distribution. Statistics: A Journal of Theoretical and Applied Statistics, 45(6), 543-558 (2011).
24. S. Nadarajah; H.S. Bakouch and R. Tahmasbi; A Generalized Lindley Distribution. Sankhyā: The Indian Journal of Statistics, Series B, 73(2), 331–359 (2011).
25. S. Nasiru; A.G. Abubakari and C. Chesneau; New Lifetime Distribution for Modeling Data on the Unit Interval: Properties, Applications and Quantile Regression. Mathematical and Computational Applications, 27(6), p. 105 (2022).
26. T. Goyal; P.K. Rai and S. K. Maurya; Classical and Bayesian Studies for a New Lifetime Model in Presence of Type-II Censoring. Communications for Statistical Applications and Methods, 26(4), 385-410 (2019).
27. W. Barreto-Souza and H. Bakouch; A New Lifetime Model with Decreasing Failure Rate. Statistics, 47(2), 465–476 (2013).
28. W.T. Shaw and I.R. Buckley; The Alchemy of Probability Distribution: Beyond Gramcharlier Cornish-Fisher Expansions, and Skew-Normal and Kurtotic-Normal Distribution. Research Report (2007).