Exponentiated Power Lindley-Logarithmic Distribution and its Applications

Abuh Musa

Department of Statistics, Federal Polytechnic Idah, Kogi State, Nigeria.

Sidney I. Onyeagu

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.

Okechukwu J. Obulezi *

Department of Statistics, Faculty of Physical Sciences, Nnamdi Azikiwe University, Awka, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

This article proposes a new distribution call the Exponentiated Power Lindley-Logarithmic Distribution for modeling real life data. The distribution is motivated by the Exponentiated Power Lindley distribution. The quantile function is derived and the Maximum likelihood estimates of the parameters are also derived. The distribution performed better in simulation study than the competing distribution. The distribution can model real life biomedical phenomena and agricultural events.

Keywords: Flexibility, Survival functions, Hazard functions


How to Cite

Musa, A., Onyeagu, S. I., & Obulezi, O. J. (2023). Exponentiated Power Lindley-Logarithmic Distribution and its Applications. Asian Research Journal of Mathematics, 19(8), 47–60. https://doi.org/10.9734/arjom/2023/v19i8686

Downloads

Download data is not yet available.

References

Ashour SK, Eltehiwy MA. Exponentiated power Lindley distribution. Journal of advanced research. 2015;6(6):895-905.

Lindley DV. Fiducial distributions and Bayes’ theorem. Journal of the Royal Statistical Society Series B (Methodological). Published online 1958:102-107.

Ghitany ME, Atieh B, Nadarajah S. Lindley distribution and its application. Mathematics and computers in simulation. 2008;78(4):493-506.

Onyekwere CK, Obulezi OJ. Chris-Jerry Distribution and Its Applications. Asian Journal of Probability and Statistics. 2022;20(1):16-30.

Shukla KK, Shanker R. Shukla distribution and its Application. Reliability: Theory Applications. 2019;14(3):46-55.

Shanker R. Rani distribution and its application. Biometrics Biostatistics International Journal. 2017;6(1):1-10.

Shanker R, Others. Sujatha distribution and its Applications. Statistics in Transition New Series. 2016;17(3):391-410.

Kk S. Pranav distribution with properties and its applications. Biom Biostat Int J. 2018;7(3):244-254.

Odom CC, Ijomah MA. Odoma distribution and its application. Asian journal of probability and statistics. 2019;4(1):1-11.

Mudholkar GS, Srivastava DK. Exponentiated Weibull family for analyzing bathtub failure-rate data. IEEE transactions on reliability. 1993;42(2):299-302.

Nadarajah S, Kotz S. The exponentiated type distributions. Acta Applicandae Mathematica. 2006;92:97- 111.

Ghitany ME, Al-Mutairi DK, Balakrishnan N, Al-Enezi LJ. Power Lindley distribution and associated inference. Computational Statistics Data Analysis. 2013;64:20-33.

Warahena-Liyanage G, Pararai M. A generalized power Lindley distribution with applications. Asian journal of mathematics and applications. 2014;2014.

Anabike IC, Igbokwe CP, Onyekwere CK, Obulezi OJ. Inference on the Parameters of Zubair-Exponential Distribution with Application to Survival Times of Guinea Pigs. Journal of Advances in Mathematics and Computer Science. 2023;38(7):12-35.

Noack A. A class of random variables with discrete distributions. The Annals of Mathematical Statistics. 1950;21(1):127-132.

Pararai M, Warahena-Liyanage G, Oluyede BO. Exponentiated power Lindley–Poisson distribution:

Properties and applications. Communications in Statistics-Theory and Methods. 2017;46(10):4726-4755.

Corless RM, Gonnet GH, Hare DEG, Jeffrey DJ, Knuth DE. On the Lambert W function. Advances in Computational mathematics. 1996;5:329-359.

Bjerkedal T, Others. Acquisition of Resistance in Guinea Pies infected with Different Doses of Virulent Tubercle Bacilli. American Journal of Hygiene. 1960;72(1):130-148.

Owoloko EA, Oguntunde PE, Adejumo AO. Performance rating of the transmuted exponential distribution: an analytical approach. SpringerPlus. 2015;4:1-15.