On some life distributions with flexible failure rate. Issue 3 (4th May 2018)

• Record Type: Journal Article
• Authors: Lu, Wanbo; Chiang, Jyun-You
• Is Part Of: Quality technology & quantitative management. Volume 15:Issue 3(2018)
• Page Start: 413
• Page End: 433
• Publication Date: 2018-05-04
• Subjects: EM algorithm -- failure rate function -- information matrix -- maximum likelihood estimation -- Power-series distribution; Quality control -- Periodicals; Quality control -- Statistical methods -- Periodicals; Industrial management -- Periodicals; Industrial management; Management -- Research -- Methodology -- Periodicals; Qualitative research -- Periodicals; Management; Quality control; Quality control -- Statistical methods; Periodicals; 658.00721
• DOI: 10.1080/16843703.2016.1226596
• Languages: English
• ISSNs: 1684-3703

Abstract

Abstract : A new three-parameter distribution family with a flexible failure rate function arising by mixing the Weibull distribution and power-series distribution is introduced. This distribution family includes special cases of some well-used mixing distributions and generalizes the exponential power-series distribution. Various properties of the new distribution family are discussed. The maximum likelihood estimation and an EM algorithm are presented for finding the estimates of the distribution family parameters, and expressions for their asymptotic variance and covariance are derived. Intensive simulation studies are implemented and experimental results are illustrated with real data-sets.