Weighted Komal Distribution with Properties and Applications
Abstract
A weighted version of Komal distribution (called weighted Komal distribution) which includes Komal distribution has been introduced in this paper. Moments-based measures including coefficients of variation, skewness, kurtosis, and index of dispersion has been derived and studied. Reliability properties including; hazard function, mean residual life function and stochastic ordering have been studied. Estimation of parameters has been studied using the method of maximum likelihood estimation. Two examples of observed real lifetime datasets have been considered to demonstrate the applications of the proposed distribution.
References
1. C.R. Rao; On Discrete Distributions Arising out of Methods of ascertainment. Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), 27(2/4), 311-324 (1965).
2. D.V. Lindley; Fiducial Distributions and Bayes’ Theorem. Journal of the Royal Statistical Society, Series B, 20, 102-107 (1958).
3. D.N.P. Murthy; M. Xie and R. Jiang; Weibull Models. John Wiley & Sons Inc., Hoboken (2004).
4. E. Tesfalem and R.Shanker; A Two-parameter Weighted Garima Distribution with Properties and
Application. Biometrics & Biostatistics International Journal, 7(3), 234-242 (2018).
5. G.P.PatilandC.R.Rao;TheWeightedDistributions:ASurveyandTheirApplications.InApplicationsof
Statistics (ed. P.R. Krishnaiah), North Holland Publications Co., Amsterdam, 383-405 (1977).
6. G.P.PatilandC.R.Rao;WeightedDistributionsandSize-BiasedSamplingwithApplicationstoWild-Life
Populations and Human Families. Biometrics, 34, 179 -189 (1978).
7. M. Badar and A. Priest; Statistical Aspects of Fiber and Bundle Strength in Hybrid Composites. In: Hayashi, T., Kawata, S. and Umekawa, S., Eds., Progress in Science and Engineering Composites, ICCM-IV, Tokyo, 1129-1136 (1982).
8. M.E. Ghitany; F. Alqallaf; D.K. Al-Mutairi and H.A. Husain; A Two-Parameter Weighted Lindley
Distribution and Its Applications to Survival Data. Mathematics and Computers in Simulation, 81, 1190-1201 (2011).
9. M.ShakedaandJ.G.Shanthikumar;StochasticOrdersandTheirApplications.AcademicPress,NewYork
(1994).
10.R.A. Fisher; The Effects of Methods of Ascertainment Upon the Estimation of Frequencies, Annals of Eugenics, 6(1), 13-25 (1934).
11. R.A. Ganaie; V. Rajagopalan and A.A. Rather; On Weighted Two Parameter Quasi Shanker Distribution with Properties and its Applications. International Journal of Statistics and Reliability Engineering, 7(1), 1-12 (2020).
12. R.A. Ganaie and V. Rajagopalan; A New Extension of Power Quasi Lindley Distribution with Properties and Applications of the Life Time data. International Journal of Statistics and Reliability Engineering, 8(1), 171-183 (2021).
13.R. Kishan and P.K. Sangal; On Estimation in Exponential Power Distribution and its Applications. International Journal of Statistics and Reliability Engineering, 7(1), 86-100 (2020).
14.R. Shanker; F. Hagos and S. Sujatha; On Modeling of Lifetimes Data using Exponential and Lindley Distributions. Biometrics & Biostatistics International Journal, 2(5), 140-147 (2015).
15. R. Shanker; Shanker Distribution and Its Applications. International Journal of Statistics and Applications, 5(6), 338-348 (2015).
16.R. Shanker; Garima Distribution and Its Application to Model Behavioral Science Data. Biometrics & Biostatistics International Journal, 4(7), 275-281 (2016).
17. R. Shanker and K.K. Shukla; Weighted Shanker Distribution and Its Applications to Model L
Journal of Applied Quantitative Methods, 12(2), 1-17 (2017).
18.R. Shanker; Komal Distribution with Properties and Application in Survival Analysis. Biometrics & Biostatistics International Journal, 12(2), 40-44 (2023).