Estimation of Association Parameters in Copula Models for Bivariate Left-Truncated and Right-Censored Data

碩士 === 東海大學 === 統計學系 === 103 === We investigate the problem of estimating the association between two related survival variables when they follow a copula model and bivariate left-truncated and right-censored data are available. By expressing truncation probability as the functional of marginal surv...

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Bibliographic Details
Main Authors: Jhih Wei Gao, 高志偉
Other Authors: Pao-Sheng Shen
Format: Others
Language:en_US
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/30919827382753882416
Description
Summary:碩士 === 東海大學 === 統計學系 === 103 === We investigate the problem of estimating the association between two related survival variables when they follow a copula model and bivariate left-truncated and right-censored data are available. By expressing truncation probability as the functional of marginal survival functions, we propose a two-stage estimation procedure for estimating the parameters of archimedean copulas. The asymptotic properties of the proposed estimators are established. Simulation studies are conducted to investigate the nite sample properties of the proposed estimators.