The survival regression model of competing risks for the family of Farlie–Gumbel–Morgenstern distributions
Articles
Audronė Jakaitienė
Vytautas Magnus University
Danas Zuokas
Vytautas Magnus University
Published 2002-12-20
https://doi.org/10.15388/LMR.2002.32987
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How to Cite

Jakaitienė, A. and Zuokas, D. (2002) “The survival regression model of competing risks for the family of Farlie–Gumbel–Morgenstern distributions”, Lietuvos matematikos rinkinys, 42(spec.), pp. 518–522. doi:10.15388/LMR.2002.32987.

Abstract

In this paper the trivariate survival regression model for FGM family of distributions is const­ructed with marginal left-truncated logistic distributions. Two methods (using survival and hazard functions in the first case, and distributional density and ` `conditional'' survival function in the se­cond case) are used when constructing likelihood function for model parameter estimation. Const­ructed survival model was run with the data of the  ` `KRIS'' (The Kaunas Rotterdam Intervention Study), which lasted for 22 years from 1972. The results show, that using second case for likehhood function construction gives better approximation for the data, because some additional conditions are considered.

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