COM-POISSON CURE RATE MODEL WITH GENERALIZED EXPONENTIAL LIFETIMES UNDER INTERVAL-CENSORING: AN EM-BASED APPROACH

被引:1
作者
Amirtharaj, Janani [1 ]
Devkunvar, G. Vijayasree Shrimathi [1 ]
机构
[1] Shrimathi Devkunvar Nanalal Bhatt Vaishnav Coll, Dept Stat, Women Vaishnava Coll Rd,, Chennai 600044, Tamil Nadu, India
关键词
cure rate model; EM algorithm; maximum likelihood estimates; Akaike information criteria; Bayesian information criteria; LIKELIHOOD INFERENCE; MIXTURE MODEL; REGRESSION;
D O I
10.17654/0973514322019
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
A mixture cure rate model is considered for time-to-event data having a cure fraction under a competing risks scenario. It is assumed that the count of unobservable competing causes follows a Conway-Maxwell Poisson (COM-Poisson) distribution, and time-to-event follows a generalized exponential distribution. The expectation-maximization (EM) algorithm is applied for estimating the proposed model parameters under the interval-censoring. The model performance is studied by Monte Carlo simulation using Akaike information criteria (AIC) and Bayesian information criteria (BIC), for varying sample
引用
收藏
页码:29 / 54
页数:26
相关论文
共 33 条
[1]  
[Anonymous], 2008, The EM Algorithm and SecondExtensions, DOI DOI 10.2307/2534032
[2]  
[Anonymous], 1996, Survival Analysis With Long-Term Survivors
[3]   Likelihood Inference for Flexible Cure Rate Models with Gamma Lifetimes [J].
Balakrishnan, N. ;
Pal, Suvra .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2015, 44 (19) :4007-4048
[4]   An EM algorithm for the estimation of parameters of a flexible cure rate model with generalized gamma lifetime and model discrimination using likelihood- and information-based methods [J].
Balakrishnan, N. ;
Pal, Suvra .
COMPUTATIONAL STATISTICS, 2015, 30 (01) :151-189
[5]   EM algorithm-based likelihood estimation for some cure rate models [J].
N. Balakrishnan ;
S. Pal .
Journal of Statistical Theory and Practice, 2012, 6 (4) :698-724
[6]   Lognormal lifetimes and likelihood-based inference for flexible cure rate models based on COM-Poisson family [J].
Balakrishnan, N. ;
Pal, Suvra .
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2013, 67 :41-67
[7]   Expectation maximization-based likelihood inference for flexible cure rate models with Weibull lifetimes [J].
Balakrishnan, Narayanaswamy ;
Pal, Suvra .
STATISTICAL METHODS IN MEDICAL RESEARCH, 2016, 25 (04) :1535-1563
[8]   SURVIVAL CURVE FOR CANCER PATIENTS FOLLOWING TREATMENT [J].
BERKSON, J ;
GAGE, RP .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1952, 47 (259) :501-515
[9]  
BOAG JW, 1949, J ROY STAT SOC B, V11, P15
[10]  
Conway R. W., 1962, J Ind Eng, V12, P132