CONVERGENCE OF INCREMENTS FOR CUMULATIVE HAZARD FUNCTION IN A MIXED CENSORSHIP-TRUNCATION MODEL WITH APPLICATION TO HAZARD ESTIMATORS

被引：8

作者：

GU, MG ^{[1
]}

机构：

[1] MCGILL UNIV,DEPT MATH & STAT,MONTREAL,PQ H3A 2K6,CANADA

来源：

STATISTICS & PROBABILITY LETTERS | 1995年 / 23卷 / 02期

关键词：

HAZARD ESTIMATES; CENSORING; SURVIVAL ANALYSIS; TRUNCATION;

D O I：

10.1016/0167-7152(94)00105-H

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：

In this note, we study the convergence of increments for cumulative hazard function based on data which subject to both right censoring and left truncation. As an example of its application, a rate of convergence theorem concerning the nearest-neighbor type estimators is formulated.

引用

收藏

页码：135 / 139

页数：5

相关论文

共 16 条

[1] PROBABILITY-INEQUALITIES FOR EMPIRICAL PROCESSES AND A LAW OF THE ITERATED LOGARITHM [J].

ALEXANDER, KS .

ANNALS OF PROBABILITY, 1984, 12 (04) :1041-1067

[2] PROBABILITY-INEQUALITIES FOR SUMS OF BOUNDED RANDOM-VARIABLES [J].

HOEFFDING, W .

JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1963, 58 (301) :13-+

[3]

KAPLAN EL, 1958, J AM STAT ASSOC, V55, P457

[4] RANDOM TRUNCATION MODELS AND MARKOV-PROCESSES [J].

KEIDING, N ;

GILL, RD .

ANNALS OF STATISTICS, 1990, 18 (02) :582-602

[5] ESTIMATING A DISTRIBUTION FUNCTION WITH TRUNCATED AND CENSORED-DATA [J].

LAI, TL ;

YING, ZL .

ANNALS OF STATISTICS, 1991, 19 (01) :417-442

[6]

LYNDENBELL D, 1977, MON NOT R ASTRON SOC, V155, P95

[7] LOCAL CONVERGENCE OF EMPIRICAL MEASURES IN THE RANDOM CENSORSHIP SITUATION WITH APPLICATION TO DENSITY AND RATE ESTIMATORS [J].

SCHAFER, H .

ANNALS OF STATISTICS, 1986, 14 (03) :1240-1245

[8] A NOTE ON DATA-ADAPTIVE KERNEL ESTIMATION OF THE HAZARD AND DENSITY-FUNCTION IN THE RANDOM CENSORSHIP SITUATION [J].

SCHAFER, H .

ANNALS OF STATISTICS, 1985, 13 (02) :818-820

[9] WEAK AND STRONG UNIFORM CONSISTENCY OF KERNEL ESTIMATE OF A DENSITY AND ITS DERIVATIVES [J].

SILVERMAN, BW .

ANNALS OF STATISTICS, 1978, 6 (01) :177-184

[10] THE OSCILLATION BEHAVIOR OF EMPIRICAL PROCESSES [J].

STUTE, W .

ANNALS OF PROBABILITY, 1982, 10 (01) :86-107