A Non-Mixture Cure Model for Right-Censored Data with Frechet Distribution

被引：8

作者：

Kutal, Durga H. ^{[1
,2
]}

Qian, Lianfen ^{[1
,3
]}

机构：

[1] Florida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA

[2] Wake Forest Univ, Winston Salem, NC 27101 USA

[3] Wenzhou Univ, Wenzhou, Peoples R China

来源：

STATS | 2018年 / 1卷 / 01期

关键词：

Non-mixture model; Frechet distribution; Right-censored survival data; Maximum likelihood method;

D O I：

10.3390/stats1010013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers a non-mixture cure model for right-censored data. It utilizes the maximum likelihood method to estimate model parameters in the non-mixture cure model. The simulation study is based on Frechet susceptible distribution to evaluate the performance of the method. Compared with Weibull and exponentiated exponential distributions, the non-mixture Frechet distribution is shown to be the best in modeling a real data on allogeneic marrow HLA-matched donors and ECOG phase III clinical trial e1684 data.

引用

页码：176 / 188

页数：13

共 23 条

[11] COMPARISON OF AUTOLOGOUS AND ALLOGENEIC BONE-MARROW TRANSPLANTATION FOR TREATMENT OF HIGH-RISK REFRACTORY ACUTE LYMPHOBLASTIC-LEUKEMIA [J].

KERSEY, JH ;

WEISDORF, D ;

NESBIT, ME ;

LEBIEN, TW ;

WOODS, WG ;

MCGLAVE, PB ;

KIM, T ;

VALLERA, DA ;

GOLDMAN, AI ;

BOSTROM, B ;

HURD, D ;

RAMSAY, NKC .

NEW ENGLAND JOURNAL OF MEDICINE, 1987, 317 (08) :461-467

[12] Cure rate model with interval censored data [J].

Kim, Yang-Jin ;

Jhun, Myoungshic .

STATISTICS IN MEDICINE, 2008, 27 (01) :3-14

[13] A STOCHASTIC-MODEL OF RADIATION CARCINOGENESIS - LATENT TIME DISTRIBUTIONS AND THEIR PROPERTIES [J].

KLEBANOV, LB ;

RACHEV, ST ;

YAKOVLEV, AY .

MATHEMATICAL BIOSCIENCES, 1993, 113 (01) :51-75

[14] A MIXTURE MODEL COMBINING LOGISTIC-REGRESSION WITH PROPORTIONAL HAZARDS REGRESSION [J].

KUK, AYC ;

CHEN, CH .

BIOMETRIKA, 1992, 79 (03) :531-541

[15] A Semiparametric Regression Cure Model for Interval-Censored Data [J].

Liu, Hao ;

Shen, Yu .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2009, 104 (487) :1168-1178

[16]

Patilea V., 2017, ARXIV

[17] A nonparametric mixture model for cure rate estimation [J].

Peng, YW ;

Dear, KBG .

BIOMETRICS, 2000, 56 (01) :237-243

[18]

Ramos P.L., 2017, BIOM BIOSTAT INT J, V6

[19] SEMIPARAMETRIC ESTIMATION IN FAILURE TIME MIXTURE-MODELS [J].

TAYLOR, JMG .

BIOMETRICS, 1995, 51 (03) :899-907

[20] Estimating cure rates from survival data: An alternative to two-component mixture models [J].

Tsodikov, AD ;

Ibrahim, JG ;

Yakovlev, AY .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2003, 98 (464) :1063-1078

← 1 2 3 →