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Application of genetics algorithms for estimating the parameters of a Cox regression model

Author

Listed:
  • Douglas Rivas

    (Universidad de Los Andes. Departamento de Estadística.)

  • José Luciano Maldonado

    (Universidad de Los Andes. Instituto de Estadística Aplicada y Computación.)

  • Rafael Borges

    (Universidad de Los Andes. Departamento de Estadística.)

  • Gerardo Colmenares

    (Universidad de Los Andes. Instituto de Investigaciones Económicas y Sociales (IIES).)

Abstract

This paper, involved in the area of evolutive computing, presents the development of a Genetic Algorithm in finding the optimal parameters of a Cox Regression Model for patients of the Service of Peritoneal Dialysis of the “Hospital Clínico Universitario de Caracas”between 1980 and 2002, performed by Borges (2002, 2005). The technique of the genetic algorithms is used as a method for finding a better estimation of the parameters of the Cox Model than the obtained by the classical optimization methods. The algorithm was completed programmed in the language C++, using a modular programming design, considering every element of the genetic algorithms. The main characteristics of the algorithm are: a) the initial population, of 10 subjects, is generated randomly between a range of values, this range was obtained after several essays, b) the adjustment function was based in the Akaike Information Criteria (AIC), c) the selection of the subjects to be reproduced was done by tournament, d) the multipoint operator for the crossing and, the mutation was done to all the genes of one part of the chromosomes of the population. The developed algorithm was useful to obtain the estimation of the Cox Regression Model and with better AIC values than the obtained by the classical methods.

Suggested Citation

  • Douglas Rivas & José Luciano Maldonado & Rafael Borges & Gerardo Colmenares, 2006. "Application of genetics algorithms for estimating the parameters of a Cox regression model," Economía, Instituto de Investigaciones Económicas y Sociales (IIES). Facultad de Ciencias Económicas y Sociales. Universidad de Los Andes. Mérida, Venezuela, vol. 31(22), pages 57-74, january-d.
    • Handle: RePEc:ula:econom:v:31:y:2006:i:22:p:57-74
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    More about this item

    Keywords

    Genetic Algorithms; Cox Regression Model; Akaike Information Criteria (AIC); Survival Analysis.;
    All these keywords.

    JEL classification:

    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C45 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Neural Networks and Related Topics
    • C42 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Survey Methods

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