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    題名: A fast algorithm for the nonparametric maximum likelihood estimate in the Cox-Gene model
    作者: Chang, I. S.;Wen, C. C.;Wu, Y. J.;Yang, C. C.
    貢獻者: 淡江大學數學學系
    關鍵詞: Age at onset;bootstrap;frailty;gene effect;profile likelihood;self-consistency equations
    日期: 2007-07
    上傳時間: 2013-08-08 14:44:15 (UTC+8)
    出版者: Taipei: Academia Sinica * Institute of Statistical Science
    摘要: The Cox model with the gene effect for age at onset was introduced and studied by Li, Thompson and Wijsman (1998) and Li and Thompson (1997). This paper concerns the numerical performance of the nonparametric maximum likelihood estimate of the environmental effects and the genetic effect in this model. Based on the self-consistency equations derived from the score functions, we propose a fast iterative algorithm for the computations of the nonparametric maximum likelihood estimate and its asymptotic variance. Simulation studies conducted using these algorithms indicate that the profile likelihood-based normal approximations for the estimates are valid with reasonable sample sizes, and the bootstrap methods work well also for smaller sample sizes, and are computationally feasible.
    關聯: Statistica Sinica 17(3), p.841-855
    DOI: 
    顯示於類別:[數學學系暨研究所] 期刊論文

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