Bivariate Distribution of Claiming Time and Medicare Reimbursement Based on Incomplete Data

• Main Authors: Tzu-Jung Huang, 黃姿蓉
• Other Authors: Chin-Tsang Chiang
• Format: Others
• Language: en_US
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/73803553715780544944

碩士 === 國立臺灣大學 === 數學研究所 === 96 === Although numerous attempts have been made on bivariate failure times, however, there is little attention on the study of relation between failure time(claiming time) and mark variable(medicare reimbursement). Meanwhile, from the viewpoints of brokers and the management in insurance company, it is more attractive and engrossing to capture the dynamic pattern so that our research interest would focus on the joint distribution of claiming time and the corresponding medicare reimbursement. Based on survival censored data, we propose two estimation procedures: the inverse probability weighting (IPW) method and the imputation method. Furthermore, it is meaningful to accommodate terminal events occurring prior to the realization of failure time and the IPW method could lead to the resolution of this obstacle. Moreover, the limiting Gaussian processes of estimated distributions and the estimators of variance-covariance functions are developed and enable us to construct approximated regions. To investigate the finite sample properties of proposed estimators and the performance of inference procedures, a class of simulations would be conducted. An application to the colorectal cancer data retrieved from the Surveillance, Epidemiology, and End Results (SEER) Medicare database is also presented. In the end, we provide a brief discussion and further research topics of interest.