Power Unit Garima Distribution: Properties, Comparison of Estimation Procedures and Diverse Applications
References
- Afify A.Z., Kumar M.N.D., Cordeiro G.M. (2022): A new unit distribution: properties, inference, and applications. Electronic Journal of Applied Statistical Analysis, 15(2): 438-462.
- Ahsan ul Haq M., Usman R.M., Hashmi S., Al-Omeri A.I. (2019): The Marshall-Olkin length-biased exponential distribution and its applications. Journal of King Saud University – Science 31: 246–251.
- Alsadat N., Tanış C., Sapkota L.P., Rajitha C.S., Bahloul M.M., Gemeay A.M. (2023): Power unit exponential probability distribution: Statistical inference and applications. Alexandria Engineering Journal 107: 332-346.
- Ayuyue, S., Bodhisuwan W. (2024): A generating family of unit-Garima distribution: Properties, likelihood inference, and application. Pakistan Journal of Statistics and Operation Research 20(1): 69-84.
- Biswas A., Chakraborty S. (2021): Stress–Strength Reliability for the Unit-Lindley Distribution with an Application. Calcutta Statistical Association Bulletin 73(1): 7–23.
- Bryc W. (1996): Conditional moment representations for dependent random variables. Electronic Journal of Probability 1; Paper no. 7, 14 pp.
- Dumonceaux R., Antle C. (1973): Discrimination between the log-Normal and the Weibull distributions, Technometrics 15(4): 923-926.
- Dey S, Kumar D, Ramos P.L., Louzada F. (2017): Exponentiated Chen distribution: Properties and estimation. Communications in Statistics—Simulation and Computation 46(10): 8118-8139.
- DomÃŋnguez M.A., Lobato I.N. (2004): Consistent estimation of models defined by conditional moment restrictions. Econometrica 72: 1601-1615.
- Fitzgerald D.L. (2000): Statistical aspects of Tricomi’s function and modified Bessel functions of the second kind. Stochastic Environmental Research and Risk Assessment 14, 139-158.
- Fleiss J.L., Levin B., Paik M.C. (1993): Statistical Methods for Rates and Proportions, 3rd ed.; John Wiley & Sons Inc.: Hoboken, NJ, USA.
- Gemeay A.M., Alsadat N., Chesneau C., Elgarhy M. (2024): Power unit inverse Lindley distribution with different measures of uncertainty, estimation and applications. AIMS Mathematics 9(8): 20976–21024.
- Gradshteyn I.S., Ryzhik I.M. (2007): Tables of integrals, series and products, 7th Edition. Academic press, USA.
- Guess F., Proschan F. (1988): Mean residual life: Theory and applications. Handbook of Statistics 7: 215-224.
- Karakus H., Dogru F.Z., Akyul F.G. (2025): Unit power Lindley distribution: Properties and estimation. Gazi Journal of Science 38(1): 506-526.
- Lad F., Sanfilippo G., Agrὸ G. (2015): Extropy: Complementary dual of entropy. Statististical Science 30 (1): 40–58.
- Maya R., Jodrá P., Irshad M.R., Krishna A. (2024): The unit Muth distribution: statistical properties and applications. Ricerche di Matematica 73: 1843–1866.
- Nadarajah S., Chan S. (2019): On moments of the unit Lindley distribution. Journal of Applied Statistics 47: 947-949.
- Pak A., Raqab M.Z., Mahmoudi M.R., Band S.S., Mosavi A. (2022): Estimation of stress-strength reliability R = P (X > Y) based on Weibull record data in the presence of inter-record times. Alexandria Engineering Journal 61(3): 2130-2144.
- Pararai M., Oluyede B.O., Warahena-Liyanage G. (2016): The beta Lindley-Poisson distribution with Applications. Journal of Statistical and Econometric Methods 5(4): 1-37.
- Rajitha C.S., Akhilnath A. (2022): Generalization of the Lindley distribution with application to COVID-19 data. International Journal of Data Science and Analytics, https://doi.org/10.1007/s41060-022-00369-2.
- Seber G.A.F. (2013): Statistical Models for Proportions and Probabilities. Springer: Berlin/Heidelberg, Germany.
- Shaked M., Shanthikumar J.G. (1994): Stochastic orders and their applications, Academic Press, New York.
- Slater L.J. (1960): Confluent hypergeometric functions. Cambridge University Press, New York.
- Yıldırımn E., Ilıkkan E.S., Gemeay A.M., Makumi N., Bakr M.E., Balogun O.S. (2023): Power unit Burr-XII distribution: Statistical inference with applications. AIP Advances 13, 105107.
DOI: https://doi.org/10.2478/bile-2026-0010 | Journal eISSN: 2199-577X (formerly 1896-3811) | Journal ISSN: 1896-3811
Language: English
Published on: Nov 10, 2026
Published by: Polish Biometric Society
In partnership with: Paradigm Publishing Services
Keywords:
Related subjects:
© 2026 Emmanuel Wilfred Okereke, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.