A New Generalization of Komal Distribution with Properties and Its Applications
Abstract
In the present paper, we have developed a new class of Komal distribution termed as length biased Komal distribution. Its various statistical properties have been derived and the model parameter is estimated by employing the technique of maximum likelihood estimation. Finally, a new distribution has been fitted with real lifetime data set to demonstrate its significance and flexibility.
References
1. A. Ahmed; J.A. Reshi and K.A. Mir; Structural Properties of Size Biased Gamma Distribution. IOSR Journal of Mathematics (IOSR-JM), 5(2), 55-61 (2013).
2. A. Mustafa and M.I. Khan; The Length-Biased Power Hazard Rate Distribution: Some Properties and Applications. Statistics In Transition New Series, 23(2), 1-16 (2022).
3. C.R. Rao; 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 (1965).
4. D.R. Cox; Renewal Theory. Barnes and Noble, New York (1962).
5. D.R. Cox; Some Sampling Problems in Technology. In New Development in Survey Sampling, Johnson, N. L. and Smith, H., Jr .(Eds.) New York, Wiley- Interscience, 506-527 (1969).
6. I.B. Abdul-Moniem and L.S. Diab; The Length-Biased Weighted Exponentiated Lomax Distribution. International Journal for Research in Mathematics and Statistics. 4(1), 1-14 (2018).
7. J. Mathew and S. George; Length Biased Exponential Distribution as a Reliability Model: A Bayesian Approach, 3(58), 84-91 (2020).
8. K.A. Al-Kadim and N.A. Hussein; New Proposed Length-Biased Weighted Exponential and Rayleigh Distribution with Application. Mathematical Theory and Modeling, 4(7), 137-152 (2014).
9. K. Modi and V. Gill; Length Biased Weighted Maxwell Distribution. Pakistan Journal of Statistics and Operation Research, 11(4), 465-472 (2015).
10. L.S. Diab and E.S. El-Atfy; A Moment Inequality for Overall Decreasing Life Class of Life Distributions with Hypothesis Testing Applications. International Journal of Mathematics and Statistics Invention, 5(1), 62-71 (2017).
11. M. Zelen; Problems in Cell Kinetic and The Early Detection of Disease. In Reliability and Biometry, F. Proschan & R. J. Sering, Eds, SIAM, Philadelphia, 701-706 (1974).
12. O.S. Oluwafemi and D.M. Olalekan; Length and Area Biased Exponentiated Weibull Distribution Based on Forest Inventories. Biometrics & Biostatistics International Journal, 6(2), 311-320 (2017).
13. R.A. Fisher; The Effects of Methods of Ascertainment Upon the Estimation of Frequencies. Annals of Eugenics, 6, 13-25 (1934).
14. R.A. Ganaie and V. Rajagopalan; A New Generalization of Two Parameter Pranav Distribution with Characterizations and Applications of Real Life-Time Data. International Journal of Statistics and Reliability Engineering, 7(3), 331-341 (2021).
15. R. Shanker; Komal Distribution with Properties and Application in Survival Analysis. Biometrics & Biostatistics International Journal, 12(2), 40-44 (2023).
16. T. Sottiwan; S. Sangpoom and S. Aryuyuen; Truncated Length-Biased Power Garima Distribution: Properties and Application. Lobachevskii Journal of Mathematics, 43, 2599-2610 (2022).