左截断右删失下乘积限过程的振动模的强极限定理

孙六全;周勇

数学学报 ›› 1998, Vol. 41 ›› Issue (5)

数学学报 ›› 1998, Vol. 41 ›› Issue (5) DOI: 10.12386/A1998sxxb0173
论文

左截断右删失下乘积限过程的振动模的强极限定理

    孙六全;周勇
作者信息 +

Strong Limit Theorems for Oscillation Moduli of PL Process under Truncation and Censorship

    Liu Quan SUN(1);Yong ZHOU(2)
Author information +
文章历史 +

摘要

本文在左截断右删失模型下获得了乘积限过程和累积失效率过程的振动模和Lipschitz-12模的强一致收敛的精确速度.作为定理的应用,推导了各种核密度估计和失效率估计的强一致收敛的精确速度.

Abstract

In this paper we obtain exact rates of uniform convergence for oscillation moduli and Lipschitz-12 moduli of PL process and cumulative hazard process when the data are subject to left truncation and right censorship. Based on these results the exactrates of uniform convergence for various types of density and hazard function estimators are derived.

关键词

累积失效率过程 / 振动模 / 核估计 / 乘积限过程 / 左截断右删失

引用本文

导出引用
孙六全;周勇. 左截断右删失下乘积限过程的振动模的强极限定理. 数学学报, 1998, 41(5) https://doi.org/10.12386/A1998sxxb0173
Liu Quan SUN(1);Yong ZHOU(2). Strong Limit Theorems for Oscillation Moduli of PL Process under Truncation and Censorship. Acta Mathematica Sinica, Chinese Series, 1998, 41(5) https://doi.org/10.12386/A1998sxxb0173

Accesses

Citation

Detail

段落导航
相关文章

/