A Two Parameter New Distribution for Life Time Data

Arun Kumar Chaudhary; Vijay Kumar

doi:https://doi.org/10.14445/22315373/IJMTT-V66I12P515

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 12 | Year 2020 | Article Id. IJMTT-V66I12P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I12P515

A Two Parameter New Distribution for Life Time Data

Arun Kumar Chaudhary, Vijay Kumar

Abstract

Here in this study we have introduced a two-parameter new distribution. We have discussed some mathematical and statistical characteristics of the distribution such as the probability density function, cumulative distribution function and hazard rate function, survival function, quantile function, the skewness, and kurtosis measures. The model parameters of the proposed distribution are estimated using three well-accepted estimation techniques which are least-square estimation (LSE), maximum likelihood estimation (MLE), and Cramer-Von-Mises estimation (CVME) methods. of The proposed distribution's goodness of fit is also evaluated by fitting it in comparison with some other existing distributions using a real data set.

Keywords

CVM, Estimation, Hazard function, LSE, Survival function

References

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Citation :

Arun Kumar Chaudhary, Vijay Kumar, "A Two Parameter New Distribution for Life Time Data," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 12, pp. 106-115, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I12P515