Characterization and Estimation of Length Biased Weighted Generalized Uniform Distribution

A. A. Rather¹ , C. Subramanian²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.5 , pp.72-76, Oct-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i5.7276

Online published on Oct 31, 2018

Copyright © A. A. Rather , C. Subramanian . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

895 Views    389 Downloads    190 Downloads

Abstract :
In this paper, we proposed a new probability model called as the length biased weighted generalized uniform distribution (LBWGUD) and discussed its various statistical properties. The probability density function, moments, hazard rate function, reverse hazard rate function and survival function have been derived. The maximum likelihood method has been used to estimate the parameter and their asymptotics have been discussed.

Key-Words / Index Term :
Weighted distribution, Moments, Reliability Analysis, Order Statistics, Maximum Likelihood Estimation, Fisher’s information matrix

References :
[1] Bhatt, M. B. (2014), Characterization of Generalized Uniform Distribution through Expectation.Open Journal of Statistics, 4, 563-569.
[2] Fisher, R. A., (1934), The effects of methods of ascertainment upon the estimation of frequencies. Annals of Eugenics, 6, 13-25.
[3] Khan, M.I. and Khan, M.A.R., (2017), characterization of generalized uniform distribution based on lower record values, ProbStat Forum, 10, 23-26.
[4] Lappi J, Bailey RL., (1987), Estimation of diameter increment function or other tree relations using angle-count samples, Forest science 33: 725-739.
[5] M. Masoom Ali, Manisha Pal and Jungsoo Woo (2007), Some Exponentiated Distributions, The Korean Communications in Statistics, Vol. 14 No.1, 93-109.
[6] Para, B. A., & Jan, T.R., (2018), On Three Parameter Weighted Pareto Type II Distribution: Properties and Applications in Medical Sciences. Applied Mathematics & Information Sciences Letters, 6(1), 13-26.
[7] Rao, C. R., (1965), “On discrete distributions arising out of method of ascertainment, in classical and Contagious Discrete”, G.P. Patiled; Pergamum Press and Statistical publishing Society, Calcutta. 320-332.
[8] Rather, A. A., and Subramanian, C., (2018), Transmuted Mukherjee-Islam failure model, Journal of Statistics Applications & Probability, 7(2), 343-347.
[9] Rather, A. A., Subramanian, C., Shafi, S., Malik, K. A., Ahmad, P. J., Para, B. A., and Jan, T. R. (2018), "A new Size Biased Distribution with applications in Engineering and Medical Science", International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.75-85.
[10] Van Deusen P.C., (1986), Fitting assumed distributions to horizontal point sample diameters. For Sci 32(1): 146-148.