A Three-parameter New Exponentiated Distribution for Life-time Data

Authors

  • Arun Kumar Chaudhary  Department of Management Science (Statistics), Nepal Commerce Campus, Tribhuwan University, Kathmandu, Bagmati, Nepal
  • Vijay Kumar   Department of Mathematics and Statistics, DDU Gorakhpur University, Gorakhpur, UP, India

DOI:

https://doi.org/10.32628/IJSRSET207633

Keywords:

CVME, MLE, Model Parameter Estimation, New exponentiated distribution, Reliability function

Abstract

In the presented work, a continuous distribution consisting of three-parameters is proposed for life-time data called new exponentiated distribution. The discussion of some of the distribution’s statistical as well as mathematical properties, including the Cumulative Distribution Function (CDF), Probability Density function (PDF), quantile function, survival function, hazard rate function, kurtosis measures and skewness, is conducted. The estimation of the presented distribution’s model parameters is performed using the techniques of Cramer-Von-Mises estimation (CVME), least-square estimation (LSE), and maximum likelihood estimation (MLE). The evaluation of the proposed distribution’s goodness of fit is performed through its fitting in comparison with some of the other existing life-time models with the help of a real data set.

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2020-12-30

Issue

Volume 7, Issue 6, November-December-2020

Section

Research Articles

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How to Cite

[1]
Arun Kumar Chaudhary, Vijay Kumar "A Three-parameter New Exponentiated Distribution for Life-time Data" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 7, Issue 6, pp.194-203, November-December-2020. Available at doi : https://doi.org/10.32628/IJSRSET207633