On the Statistical Properties of the Remkan Distribution

  • N. P. Akpan Department of Mathematics and Statistics, University of Port Harcourt, Nigeria
  • O. R. Uwaeme Department of Statistics, Kingsley Ozumba Mbadiwe University, Nigeria
Keywords: Remkan distribution, lifetime distributions, two-parameter distributions, quantile function, risk measurement function, reliability indices


The Remkan distribution is a two-parameter lifetime distribution that has been introduced into the literature to meet the ever-growing demand for the development of new lifetime distributions to meet the goodness of fit demand of complex datasets. The mathematical properties of the Remkan distribution have been derived in the literature. This study therefore aims to derive important statistical properties including the mode, quantile function, order statistics, entropy, stochastic ordering, average absolute deviation, and mid-point and Reliability indices such as the survivorship or existence measurement function, risk measurement function, and average residual measurement lifetime function.


Aderoju, S. (2021). Samade probability distribution: its properties and application to real lifetime data. Asian Journal of Probability and Statistics, 14(1), 1-11. https://doi.org/10.9734/ajpas/2021/v14i130317

Aijaz, A., Jallal, M., Ain, S. Q. U., & Tripathi, R. (2020). The Hamza distribution with statistical properties and applications. Asian Journal of Probability and Statistics, 8(1), 28-42. https://doi.org/10.9734/ajpas/2020/v8i130198

Arcagni, A., & Porro, F. (2014). The graphical representation of inequality. Revista Colombiana de Estadística, 37(2), 419-436. https://doi.org/10.15446/rce.v37n2spe.47947

Barlow, R., & Proschan, F. (1981). Statistical theory of reliability and life-testing: probability models (reprint). To Begin With.

Benrabia, M., & Alzoubi, L. M. A. (2021). Alzoubi distribution: Properties and applications. An International Journal of Statistics Applications & Probability, 11(2), 1 16. http://dx.doi.org/10.18576/jsap/110221

Bonferroni, C. E. (1930). Elementi di statistca generale, Seeber, Firenze.

Elechi, O., Okereke, E. W., Chukwudi, I. H., Chizoba, K. L., & Wale, O. T. (2022). Iwueze’s distribution and its application. Journal of Applied Mathematics and Physics, 10(12), Article 12. https://doi.org/10.4236/jamp.2022.1012251

Epstein, N. (1958). Exponential distribution and its role in life testing. 1-21.

Rényi, A. (1961). On measures of entropy and information. In Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, 1, 547-562.

Ronald, W. E., Myers, R. H., Myers, S. L., & Ye, K. E. (2011). Probability and Statistics for Engineers and Scientists (9th ed.). Prentice Hall. http://library.lol/main/09C6713DAA3BF89644499A5EB315D12E

Shaked, M., & Shanthikumar, J. (1994). Stochastic orders and their applications. Academic Press. https://www.semanticscholar.org/paper/Stochastic-orders-and-their-applications-Shaked-Shanthikumar/a29a9228cdb7a7dcb205ba6ee2bf64bc0b63fa90

Shanker, R. (2015a). Akash distribution and its applications. International Journal of Probability and Statistics, 4(3), 65-75. https://doi.org/10.5923/j.ijps.20150403.01

Shanker, R. (2015b). Shanker distribution and its applications. International Journal of Statistics and Applications, 5, 338-348.

Shanker, R. (2016a). Amarendra distribution and its applications. American Journal of Mathematics and Statistics, 6(1), 44-56. https://doi.org/10.5923/j.ajms.20160601.05

Shanker, R. (2016b). Sujatha distribution and its applications. Statistics in Transition New Series, 17(3), 391-410. https://doi.org/10.21307/stattrans-2016-029

Shanker, R., & Shukla, K. K. (2020). A new quasi Sujatha distribution. Statistics in Transition New Series, 21(3), 53-71.

Shannon, C. E. (1951). Prediction and entropy of printed English. Bell System Technical Journal, 30(1), 50-64.

Shraa, D. H., & Al-Omari, A. I. (2019). Darna distribution: Properties and application. Electronic Journal of Applied Statistical Analysis, 12(2), 520-541. https://doi.org/10.1285/i20705948v12n2p520

Shukla, K. K. (2018a). Prakaamy distribution with properties and applications. Journal of Applied Quantitative Methods, 13(3), 30-38.

Shukla, K. K. (2018b). Ram Awadh distribution with properties and applications. Biometrics & Biostatistics International Journal, 7(6), 515-523. https://doi.org/10.15406/bbij.2018.07.00254

Umeh, E., & Ibenegbu, A. (2019). A two-parameter Pranav distribution with properties and its application. Journal of Biostatistics and Epidemiology, 5(1), 74-90. https://doi.org/10.18502/jbe.v5i1.1909

Uwaeme, O. R., & Akpan, N. P. (2024). The Remkan distribution and its applications. Asian J. Prob. Stat., 26(1), 13-24. https://doi.org/10.9734/ajpas/2024/v26i1577

Uwaeme, O. R., Akpan, N. P., & Orumie, U. C. (2023). The Copoun distribution and its mathematical properties. Asian Journal of Probability and Statistics, 24(1), 37-44. https://doi.org/10.9734/ajpas/2023/v24i1516

How to Cite
Akpan, N. P., & Uwaeme, O. R. (2024). On the Statistical Properties of the Remkan Distribution. Earthline Journal of Mathematical Sciences, 14(2), 333-347. https://doi.org/10.34198/ejms.14224.333347