A new useful three-parameter extension of the exponential distribution. Issue 2 (3rd March 2016)

• Record Type: Journal Article
• Authors: Lemonte, Artur J.; Cordeiro, Gauss M.; Moreno–Arenas, Germán
• Is Part Of: Statistics. Volume 50:Issue 2(2016)
• Page Start: 312
• Page End: 337
• Publication Date: 2016-03-03
• Subjects: censored data -- exponential distribution -- lifetime data -- Marshall–Olkin extended distribution -- maximum likelihood estimation; Mathematical statistics -- Periodicals; 519.505
• DOI: 10.1080/02331888.2015.1095190
• Languages: English
• ISSNs: 0233-1888

Abstract

Abstract : A three-parameter extension of the exponential distribution is introduced and studied in this paper. The new distribution is quite flexible and can be used effectively in modelling survival data, reliability problems, fatigue life studies and hydrological data. It can have constant, decreasing, increasing, upside-down bathtub (unimodal), bathtub-shaped and decreasing–increasing–decreasing hazard rate functions. We provide a comprehensive account of the mathematical properties of the new distribution and various structural quantities are derived. We discuss maximum likelihood estimation of the model parameters for complete sample and for censored sample. An empirical application of the new model to real data is presented for illustrative purposes. We hope that the new distribution will serve as an alternative model to other models available in the literature for modelling real data in many areas.