THE TRUNCATED NEW-XLINDLEY DISTRIBUTION WITH APPLICATIONS
Keywords:
Truncated Lindley distribution, New-XLindley distribution, Lindley distribution, Moments, Maximum likelihood estimation.Abstract
This work presents the truncated variants of the new-XLindley distribution and examines their properties, highlighting the monotonic behavior of the density and hazard functions. It also talks about the quantile function, order statistics,moments, and other statistical features. Additionally, the paper develops maximum likelihood estimators for the unknown parameters of the upper, lower, and double truncated new-XLindley distributions. To demonstrate the practicality of the proposed distribution, we apply it to analyze three different data sets related to medical data. We intend to capture researchers’ attention and showcase this new distribution’s versatility and potential applications
References
Aban, I. B., Meerschaert, M. M., & Panorska, A. K. (2006). Parameter estimation for the truncated Pareto distribution. Journal of the American Statistical Association, 101(473), 270277.https://doi.org/10.1198/016214505000000411.
Ahmed, S. E., Castro-kuriss, C., Flores, E., Leiva, V., & Sanhueza, A. (2010). a Truncated Version of the Birnbaum-Saunders. 26(1), 293–311.
Finsterwalder, C. E. (1976). Collaborative Study of an Extension of the Mills et al. Method for the Determination of Pesticide Residues in Foods. Journal of the Association of Official AnalyticalChemists, 59(1), 169–171.