Computing survival functions of the sum of two independent Markov processes: an application to bladder carcinoma treatment
Computing survival functions of the sum of two independent Markov processes: an application to bladder carcinoma treatment
复制标题
计算两个独立马尔可夫过程之和的生存函数：在膀胱癌治疗中的应用
DOI：
10.1080/00207160.2013.765560
复制
发表时间：
2014
影响因子：
1.8
通讯作者：
J. Pontones
中科院分区：
文献类型：
--
作者：
B. García;C. Santamaría;G. Rubio;J. Pontones
本文研究了两个独立的相型（PH）分布变量的和，每个变量都与一个有一个吸收态的马尔可夫过程相关联。计算变量和的分布函数，得到一个新的高阶ph分布函数。随着新函数阶数的增加，将块上三角矩阵的指数函数按其各自的块进行计算，以降低问题的维数。所得结果应用于膀胱癌资料。
The study of the sum of two independent phase-type (PH)-distributed variables, each of them being associated with a Markovian process with one absorbing state, is considered in this paper. The distribution function of the variable sum is computed, obtaining a new PH-distributed function of higher order. As the order increases in the new function, the exponential function of a block upper triangular matrix is calculated in terms of its respective blocks to reduce the dimension of the problem. The obtained results are applied to bladder carcinoma data.