Complementary Generalized Power Weibull Power Series Family of Distributions: Estimation and Application

Complementary Generalized Power Weibull Power Series Family of Distributions: Estimation and Application

  • Suleman Nasiru University for Development Studies
  • Abdul Ghaniyyu Abubakari

Abstract

The complementary generalized power Weibull power series family of distributions is developed in this study. The statistical properties of the new family of distributions are derived and four different estimation methods are proposed for estimating the parameters of the new family of distributions. Monte simulations are carried out to investigate the behavior of the estimators and the results revealed that they are all consistent as the sample size increases. An application of the special distributions is demonstrated using dataset on the lifetime of electronic components. The findings revealed that the complementary generalized power Weibull geometric and complementary generalized power Weibull Logarithmic distributions both provided a better fit to the dataset.

Published
2020-04-30
How to Cite
NASIRU, Suleman; ABUBAKARI, Abdul Ghaniyyu. Complementary Generalized Power Weibull Power Series Family of Distributions: Estimation and Application. Eurasian Bulletin of Mathematics (ISSN: 2687-5632), [S.l.], v. 3, n. 1, p. 20-37, apr. 2020. ISSN 2687-5632. Available at: <http://www.ebmmath.com/index.php/EBM/article/view/47>. Date accessed: 26 jan. 2022.