Keywords:-
Article Content:-
Abstract
In this article, a generalization of the Length biased Exponential distribution called Harris extended Length biased Exponential distribution is studied, and its properties are discussed. The parameters of the proposed model are estimated by using the maximum likelihood estimation method. The new distribution is applied to the real data sets to establish the flexibility of the newly developed model.
References:-
References
Aly, E.A.A., and Benkherouf, L. (2011). A new family of distributions based on probability generating functions.Sankhya B, 73, 70-80.
Batsidis, A., and Lemonte, A.J.(2014). On the Harris Extended Family of Distributions. Statistics: A Journal of Theoretical and Applied Statistics,49(5),1400-1421.
Choulakian, V., and Stephens, M.A. (2001). Goodness of fit for the generalized Pareto distribution. Technometrics, 43, 478-484.
Dara, S.T., Ahmad, M.(2012). Recent Advances in Moment Distribution and Their Hazard Rates. Lap Lambert Academic Publishing GmbH KG.
Gauss M. Cordeiro1, M. Mansoor, and Serge B. Provost(2019). The Harris extended Lindley distribution for modeling hydrological data. Chilean Journal of Statistics,10(1), 77-94.
Harris, T.E.(1948). Branching Processes. Ann Math Stat. 19,474-494.
Jose, K.K., Remya, S.(2014). Harris Extended Burr XII and Exponentiated Exponential Distribution. Pre-Print.
Jose, K.K. and Paul, A. (2018). Reliability Test Plans for Percentiles Based on the Harris Generalized Linear Exponential Distribution. Stochastics and Quality Control (online: https://doi.org/10.1515/eqc-2017-0025).
Jose, K.K., Lishamol Tomy, and Sophia P. Thomas. (2018). On a Generalization of the Weibull Distribution and Its Application in Quality Control. Stochastics and Quality Control, 33(2), 113-124.
Jose, K.K. and Varghese J.(2019).Harris Extended Log-Kumaraswamy Distribution And Its Applications. IAPQR Transaction 44(1),20-37.
Lawless, J. F.(2003). Statistical models and methods for lifetime data. Wiley, New York.
Muhammad, A.H., Rana, M.U., Sharqa, H., and Amer, I.A.(2017).The Marshall-Olkin length-biased exponential distribution and its applications.Journal of King Saud University,31, 246-251.
Obubu Maxwell, Samuel Oluwafemi Oyamakin, Angela Unna Chukwu, Yusuf Olufemi Olusola, Adeleke Akinrinade Kayode. (2019). New Generalization of Length Biased Exponential Distribution with Applications. Journal of Advances in Applied Mathematics, 4 (2).
Pinho, L.G.B., Cordeiro, G.M., Nobre, J.S.(2015). The Harris Extended Exponential Distribution. Commun Stat Theory Methods, 44,3486-3502.