The Hazard-Product method of generalization: Application to the gompertz and exponentiated Half-Normal distributions. Issue 5 (4th March 2019)

• Record Type: Journal Article
• Authors: Smith, Scott E.
• Is Part Of: Communications in statistics. Volume 48:Issue 5(2019)
• Page Start: 1177
• Page End: 1192
• Publication Date: 2019-03-04
• Subjects: generalized distributions -- hazard function -- Gompertz -- half-normal.; 62P99; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2018.1425449
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: As new data sources arrive, novel methods of defining undiscovered distributions are increasingly useful. In this presentation, the Hazard-Product method of generalizing survival functions is introduced. Some limitations and considerations are discussed, and a new extensions of the Gompertz and Half-Normal models are proposed. Finally, basic moment and estimation properties of the models are given, and two real data sets are analyzed.