Smoothing Estimation for Rate Function of Occurrence Medical Cost

碩士 === 臺灣大學 === 數學研究所 === 95 === Most of recent research into medical cost analysis has focused on developing appropriate models and statistical inferences for the accumulated cost up to the end of study or the pre-determined times within the study period. However, the time of medical cost occurrenc...

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Main Authors: Mun-Fai Chua, 蔡文輝
Other Authors: 江金倉
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/26552226787526109355
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spelling ndltd-TW-095NTU054790332015-10-13T13:55:55Z http://ndltd.ncl.edu.tw/handle/26552226787526109355 Smoothing Estimation for Rate Function of Occurrence Medical Cost 醫療成本發生率函數之平滑估計法 Mun-Fai Chua 蔡文輝 碩士 臺灣大學 數學研究所 95 Most of recent research into medical cost analysis has focused on developing appropriate models and statistical inferences for the accumulated cost up to the end of study or the pre-determined times within the study period. However, the time of medical cost occurrence was not fully characterized in the total cost. In this thesis, we consider the model for the rate function of occurrence medical cost which uses the information of cost and occurrence times. To explore the association of the covariates with the rate function, a more flexible and easily explained time-varying coefficient generalized linear model is established to account for the heteroscedasticity. Based on censored data, a smoothing estimation method is proposed to estimate the parameter functions. Moreover, a consistent estimator for the asymptotic variance matrix of the estimators is provided. The limiting distribution of estimated functions and the estimator of variance matrix enable us to construct approximated regions. To investigate the finite sample properties of the estimators and the performance of procedure for the construction of confidence intervals, a class of simulations is conducted. An application to the colorectal cancer data retrieved from the Surveillance, Epidemiology, and End Results (SEER) Medicare database is further presented. 江金倉 2007 學位論文 ; thesis 35 en_US
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description 碩士 === 臺灣大學 === 數學研究所 === 95 === Most of recent research into medical cost analysis has focused on developing appropriate models and statistical inferences for the accumulated cost up to the end of study or the pre-determined times within the study period. However, the time of medical cost occurrence was not fully characterized in the total cost. In this thesis, we consider the model for the rate function of occurrence medical cost which uses the information of cost and occurrence times. To explore the association of the covariates with the rate function, a more flexible and easily explained time-varying coefficient generalized linear model is established to account for the heteroscedasticity. Based on censored data, a smoothing estimation method is proposed to estimate the parameter functions. Moreover, a consistent estimator for the asymptotic variance matrix of the estimators is provided. The limiting distribution of estimated functions and the estimator of variance matrix enable us to construct approximated regions. To investigate the finite sample properties of the estimators and the performance of procedure for the construction of confidence intervals, a class of simulations is conducted. An application to the colorectal cancer data retrieved from the Surveillance, Epidemiology, and End Results (SEER) Medicare database is further presented.
author2 江金倉
author_facet 江金倉
Mun-Fai Chua
蔡文輝
author Mun-Fai Chua
蔡文輝
spellingShingle Mun-Fai Chua
蔡文輝
Smoothing Estimation for Rate Function of Occurrence Medical Cost
author_sort Mun-Fai Chua
title Smoothing Estimation for Rate Function of Occurrence Medical Cost
title_short Smoothing Estimation for Rate Function of Occurrence Medical Cost
title_full Smoothing Estimation for Rate Function of Occurrence Medical Cost
title_fullStr Smoothing Estimation for Rate Function of Occurrence Medical Cost
title_full_unstemmed Smoothing Estimation for Rate Function of Occurrence Medical Cost
title_sort smoothing estimation for rate function of occurrence medical cost
publishDate 2007
url http://ndltd.ncl.edu.tw/handle/26552226787526109355
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