TY - JOUR
AU - Wahyudi, Irfan
AU - Purhadi, Purhadi
AU - Sutikno, Sutikno
AU - Irhamah, Irhamah
PY - 2012
TI - ESTIMASI PARAMETER PADA MODEL COX MULTIVARIAT DENGAN METODE MAXIMUM PARTIAL LIKELIHOOD ESTIMATION
JF - Jurnal Ilmiah Matematika dan Pendidikan Matematika; Vol 4 No 1 (2012): Jurnal Ilmiah Matematika dan Pendidikan Matematika
DO - 10.20884/1.jmp.2012.4.1.2954
KW -
N2 - Multivariate Cox proportional hazard models have ratio property, that is the ratio of hazard functions for two individuals with covariate vectors z 1 and z 2 are constant (time independent). In this study we talk about estimation of prameters on multivariate Cox model by using Maximum Partial Likelihood Estimation (MPLE) method. To determine the appropriate estimators that maximize the ln-partial likelihood function, after a score vector and a Hessian matrix are found, numerical iteration methods are applied. In this case, we use a Newton Raphson method. This numerical method is used since the solutions of the equation system of the score vector after setting it equal to zero vector are not closed form. Considering the studies about multivariate Cox model are limited, including the parameter estimation methods, but the methods are urgently needed by some fields of study related such as economics, engineering and medical sciences. For this reasons, the goal of this study is designed to develop parameter estimation methods from univariate to multivariate cases.
UR - http://jos.unsoed.ac.id/index.php/jmp/article/view/2954