In this paper another two-parameter Sujatha distribution (ATPSD), which includes exponential distribution and Sujatha distribution as particular cases, has been proposed. Statistical properties including shapes for varying values of parameters, moments, coefficient of variation, skewness, kurtosis, index of dispersion, hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability of ATPSD have been discussed. The method of moment estimation and the method of maximum likelihood estimation have been discussed for estimating its parameters. Finally, applications of ATPSD have been discussed with two real lifetime datasets.
Sujatha distribution Exponential distribution Statistical properties Estimation of parameters Applications Moments Sujatha distribution
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Research Article |
| Authors | |
| Submission Date | April 18, 2018 |
| Acceptance Date | November 29, 2018 |
| Publication Date | April 20, 2019 |
| Published in Issue | Year 2019 Volume: 2 Issue: 1 |
Journal of Mathematical Sciences and Modelling
The published articles in JMSM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.