IJSREG Trion Studio

No Publication Cost

Vol 10, No 2:

subscription

Characterizations and Some Contribution to New Quasi Sujatha Distribution with Applications in Blood Cancer, Covid 19 and Survival Times
Abstract
The present study approaches with length biased version of new quasi Sujatha distribution called as length biased new quasi Sujatha distribution. Length biased distribution is a special case of weighted distribution. Its various structural properties have been discussed and the model parameters of proposed new distribution are estimated by using the technique of maximum likelihood estimation. Finally, a new distribution has been analyzed and investigated with three real lifetime data sets to demonstrate its significance and supremacy.
Full Text
PDF
References

1.  A. Beghriche and H. Zeghdoudi; A Size Biased Gamma Lindley Distribution. Thailand Statistician, 17(2), 179-189 (2019).
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. A.M. Abouammoh; R. Ahmed and A. Khalique; On New Renewal Better than used Classes of Life Distribution. Statistics and Probability Letters, 48(2), 189-194 (2000).
4. A.I. Al-Omari and A.R.A. Alanzi; Inverse Length Biased Maxwell Distribution: Statistical Inference with an Application. Computer Systems Science and Engineering, 39(1), 147-164 (2021).
5. A. Saghir; A. Khadim and Z. Lin; The Maxwell Length Biased Distribution: Properties and Estimation. Journal of Statistical Theory and Practice, 11(1), 26-40 (2016).
6. 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).
7. D.R. Cox; Renewal Theory. Barnes and Noble, New York (1962).
8. E.M. Almetwally; R. Alharbi; D. Alnagar and E.H. Hafez; A New Inverted Top-Leone Distribution: Applications to the COVID-19 Mortality Rate in Two Different Countries. Axioms, 10(1), p. 25 (2021). https://doi.org/10.3390/axioms10010025
9. K.K. Das and T.D. Roy; Applicability of Length Biased Weighted Generalized Rayleigh Distribution. Advances in Applied Science Research, 2(4), 320-327 (2011).
10. N. Nanuwong and W. Bodhisuwan; Length Biased Beta-Pareto Distribution and Its Structural Properties with Application. Journal of Mathematics and Statistics, 10(1), 49-57 (2014).
11. N.I. Rashwan; A Length Biased Version of the Generalized Gamma Distribution. Advances and Applications in Statistics, 32(2), 119-137 (2013).
12. O. Maxwell; O.S. Oyamakin and E.J. Thomas; The Gompertz Length Biased Exponential Distribution and Its Application to Uncensored Data. Current Trends on Biostatistics & Biometrics, 1(3), 52-57 (2019).
13. 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).
14. R.A. Fisher; The Effects of Methods of Ascertainment upon the Estimation of Frequencies. Ann. Eugenics, 6, 13-25 (1934).
15. R.A. Ganaie and V. Rajagopalan; A New Generalization of Two Parameter Pranav Distribution with Characterizations and Applications of Real Lifetime Data. International Journal of Statistics and Reliability Engineering, 7(3), 331-341 (2020).
16. R. Shanker; Sujatha Distribution and Its Applications. Statistics in Transition New Series, 17(3), 391-410 (2016).
17. R. Shanker; A Quasi Sujatha Distribution. International Journal of Probability and Statistics, 5(4), 89-100 (2016).
18. R. Shanker and K.K. Shukla; A New Quasi SUJATHA Distribution. Statistics in Transition New Series, 21(3), 53-71 (2020).
19. R Core Team; R Version 3.5.3: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, Vienna, Austria.(2019) URL: https:// www.R-project .org/
20. S. Mudasir and S.P. Ahmad; Characterization and Estimation of the Length Biased Nakagami Distribution. Pakistan Journal of Statistics and Operation Research, 14(3), 697-715 (2018).
21. T. Bjerkedal; Acquisition of Resistance in Guinea Pigs Infected with Different Doses of Virulent Tubercle Bacilli. American Journal of Epidemiol, 72(1), 130-148 (1960).
22. T. Chaito and M. Khamkong; The Length-Biased Weibull-Rayleigh Distribution for Application to Hydrological Data. Lobachevskii Journal of Mathematics, 42, 3253-3265 (2021).
23. T. Sottiwan; S. Sangpoom and S. Aryuyuen; Truncated Length-Biased Power Garima Distribution: Properties and Application. Lobachevskii Journal of Mathematics, 43, 2599-2610 (2022).
24. V.K. Sharma; S. Dey; S.K. Singh and U. Manzoor; On Length and Area Biased Maxwell Distributions. Communications in Statistics – Simulation and Computation, 47(5), 1506-1528 (2018).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

Journal Content
Browser