• Tal Mark Pokalas Micheal okpara University of Agriculture, Umudike
  • Chisimkwuo John
  • Pokalas Paiyun-Dayi Tal
  • Ohakwe Johnson
Keywords: Moments, Hazard rate, Survival function, Maximum likelihood estimator, Goodness- of -fit


This paper proposes an inverse two-parameter Lindley distribution by utilizing the one and two parameter Lindley distributions. The key properties of the novel distribution like, its survival function, shape characteristics of the density, entropy measure, hazard rate function, stochastic ordering and stress-strength reliability were examined. Two data sets were employed in the empirical studies.  Method of maximum likelihood was used to estimate the parameters. The goodness- of -fit was accessed using the HQIC, BIC, CAIC, and AIC. The proposed distribution was compared with the inverse Lindley and the inverse Akash distributions in order to access its superiority over the two distributions. Ultimately, the new inverse two parameter Lindley distribution was found to be superior by providing a better fit.


Ghitany M.E., Atieh B. and Nadarajah S. (2011). Lindley distribution and its applications, Mathematical. Computing Simulation, 78 (4),493-506. DOI: https://doi.org/10.1016/j.matcom.2007.06.007

John C., Pokalas T.M., and Ohakwe J. (2021). Inverse Two parameter Lindley distribution, European Journal of Statistics, 2,1-10. DOI: https://doi.org/10.28924/ada/stat.2.10

Lee, E.T. and Wang, J.W. (2003). Statistical Methods for Survival Data Analysis. Third Edition, Wiley, New York. DOI: https://doi.org/10.1002/0471458546

Lindley, D.V. (2021). Fiducial distributions and Bayes’ theorem, Journal of the Royal Statistical Society, Series B. (Methodological), 20, 102- 107. DOI: https://doi.org/10.1111/j.2517-6161.1958.tb00278.x

Renyi A. (1961). On measures of entropy and information; in proceedings of the 4th Berkeley Symposium on Mathematical Statistics and Probability, University of California press, Berkeley, 4(1961), 547-561.

Shanker R., Sharma S., and Ravi S. (2013). Two-parameter Lindley distribution for modeling waiting and survival time data, Journal of Applied Mathematics, (4), 363-368. DOI: https://doi.org/10.4236/am.2013.42056

Sharma V. K, Singh S. K, Singh U, Agiwal V. (2015). The inverse Lindley distribution: A stress-strength reliability model with application to head and neck cancer data, Journal of Industrial and Production Engineering, 32(3),162-173.

Shaked, M. and Shanthikumar, J.G. (1994). Stochastic Orders and Their Applications, Academic Press, New York.

Sharma, V., Singh, U. and Agiwal, V. (2015). The Inverse Lindley distribution - A stress strength reliability model with applications to head and neck cancer data, Journal of industrial and production Engineering, 32 (3), 162-173. DOI: https://doi.org/10.1080/21681015.2015.1025901

Mishra, A. and Shanker, R. (2013). A two-parameter Lindley distribution, Statistics in Transition New Series, 14 (1), 45-56, DOI: https://doi.org/10.59170/stattrans-2013-003

How to Cite
PokalasT. M., JohnC., TalP. P.-D., & JohnsonO. (2024). A NEW INVERSE TWO-PARAMETER LINDLEY DISTRIBUTION AND ITS APPLICATION. FUDMA JOURNAL OF SCIENCES, 8(3), 214 - 218. https://doi.org/10.33003/fjs-2024-0803-2333