Mathematical Sciences: Topics in Multivariate Survival Analysis and Counting Processes

本文对多元生存函数的分析问题进行了三次探讨。首先，依赖和不对称的概念将被纳入熟悉的乘积极限表示公式中。其次，将研究计数过程的广义累积量的表示。第三，将为来自马尔可夫更新过程的审查数据构造估计器；并考虑预测问题。

Three attacks on the problem of analysis of multivariate survival functions are to be made. First, notions of dependence and of asymmetry are to be incorporated into familiar formulations with product limit representations. Secondly, representations in terms of generalized cumulants of counting processes will be investigated. Third, estimators will be constructed for censored data from a Markov renewal process; and the prediction problem will be considered.