A new class of defective models based on the Marshall–Olkin family of distributions for cure rate modeling

Ricardo Rocha, Saralees Nadarajah, Vera Tomazella and Francisco Louzada

Computational Statistics & Data Analysis, 2017, vol. 107, issue C, 48-63

Abstract: Defective distributions model cure rates by changing the usual domain of its parameters in a way that their survival functions converge to a value p∈(0,1). A new way to generate defective distributions to model cure fractions is proposed. The new way relies on a property derived from the Marshall–Olkin family of distributions. To exemplify this new result we use the extended Weibull distribution and introduce ten new defective distributions. A regression approach for these models is also proposed. Estimation by maximum likelihood is discussed and their asymptotes verified through simulations. Practical use is illustrated by applications to four real data sets.

Keywords: Defective distributions; Extended Weibull distribution; Long-term survivors; Regression modeling; Survival analysis (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167947316302286
Full text for ScienceDirect subscribers only.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:107:y:2017:i:c:p:48-63

DOI: 10.1016/j.csda.2016.10.001

Access Statistics for this article

Computational Statistics & Data Analysis is currently edited by S.P. Azen

More articles in Computational Statistics & Data Analysis from Elsevier
Bibliographic data for series maintained by Catherine Liu ().