ON THE ENCAPSULATION OF THE NEW XLINDLEY DISTRIBUTION
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JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
Abstract
In this study, we introduce the Wrapping New XLindley Distribution (WNXLD) as an extension of the Wrapping Distribution (WD). We derive the probability density function, cumulative distribution function, characteristic function, trigonometric moments, and other relevant parameters for WNXLD Additionally, parameter estimation is performed using the maximum likelihood estimation method.
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I. A. Z.Afify, R.A.Mohamed: ‘Wrapped Lindley distribution: Properties and applications’. Journal of Computational and Applied Mathematics, 2018, 343, 251–266. https://doi.org/10.1016/j.cam.2018.05.007 II. A.V.D.Rao, I.R. Sarma,S.V.S. Girija: ‘On wrapped version of some life testing models’. Commun. Stat.-Theory Methods 2007, 36, 2027–2035. III. A.V.D.Rao, S.V.S. Girija, V.J. Devaraaj: ‘On characteristics of wrapped gamma distribution’. IRACST Eng. Sci. Technol. Int. J. (ESTIJ) 2013, 3, 228–232. IV. D.Lindley: ‘Fiducial distributions and Bayes’ theorem’. J. R. Stat. Soc, 1958, 20, 102–107. [CrossRef]