Latent diffusion models for survival analysis

被引:3
|
作者
Roberts, Gareth O. [1 ]
Sangalli, Laura M. [2 ]
机构
[1] Univ Warwick, Dept Stat, CRiSM, Coventry CV4 7AL, W Midlands, England
[2] Politecn Milan, Dipartimento Matemat, MOX, I-20133 Milan, Italy
关键词
diffusion processes; parametrization of hierarchical models; survival analysis; PROPORTIONAL HAZARDS; DISTRIBUTIONS; INFERENCE;
D O I
10.3150/09-BEJ217
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider Bayesian hierarchical models for survival analysis, where the survival times are modeled through an underlying diffusion process which determines the hazard rate. We show how these models can be efficiently treated by means of Markov chain Monte Carlo techniques.
引用
收藏
页码:435 / 458
页数:24
相关论文
共 50 条
  • [41] Asymptotical analysis of semiparametric models in survival analysis and accelerated life testing
    Bagdonavicius, V
    Nikulin, M
    STATISTICS, 1997, 29 (03) : 261 - 283
  • [42] New models and methods for survival analysis of experimental data
    Semenchenko, Ganna V.
    Yashin, Anatoli I.
    Johnson, Thomas E.
    Cypser, James W.
    ADVANCES IN STATISTICAL METHODS FOR THE HEALTH SCIENCES: APPLICATIONS TO CANCER AND AIDS STUDIES, GENOME SEQUENCE ANALYSIS, AND SURVIVAL ANALYSIS, 2007, : 179 - +
  • [43] On a measure of information gain for regression models in survival analysis
    Maucort-Boulch, Delphine
    Roy, Pascal
    Stare, Janez
    JOURNAL OF APPLIED STATISTICS, 2014, 41 (12) : 2696 - 2708
  • [44] Latent Class Survival Models Linked by Principal Stratification to Investigate Heterogenous Survival Subgroups Among Individuals With Early-Stage Kidney Cancer
    Egleston, Brian L.
    Uzzo, Robert G.
    Wong, Yu-Ning
    JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2017, 112 (518) : 534 - 546
  • [45] Normalised latent measure factor models
    Beraha, Mario
    Griffin, Jim E.
    JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 2023, 85 (04) : 1247 - 1270
  • [46] Combined learning models for survival analysis of patients with pulmonary hypertension
    Foguem, Germaine Tchuente
    Coulibaly, Lassana
    Diamoutene, Abdoulaye
    INTELLIGENT SYSTEMS WITH APPLICATIONS, 2024, 21
  • [47] Survival analysis of women with breast cancer: competing risk models
    Ferraz, Rosemeire de Olanda
    Moreira-Filho, Djalma de Carvalho
    CIENCIA & SAUDE COLETIVA, 2017, 22 (11): : 3743 - 3753
  • [48] Bayesian sensitivity models for missing covariates in the analysis of survival data
    Hemming, Karla
    Hutton, Jane Luise
    JOURNAL OF EVALUATION IN CLINICAL PRACTICE, 2012, 18 (02) : 238 - 246
  • [49] Dynamic survival analysis for non-Markovian epidemic models
    Di Lauro, Francesco
    KhudaBukhsh, Wasiur R.
    Kiss, Istvan Z.
    Kenah, Eben
    Jensen, Max
    Rempala, Grzegorz A.
    JOURNAL OF THE ROYAL SOCIETY INTERFACE, 2022, 19 (191)
  • [50] Multivariate survival analysis models for incident duration with censored data
    Jiang, Hong
    Fang, Shouen
    Chen, Yuren
    Tongji Daxue Xuebao/Journal of Tongji University, 2012, 40 (12): : 1808 - 1813