Nonparametric Estimation of a Cumulative Hazard Function with Right Truncated Data

2018 ◽  
pp. 403-420
Author(s):  
Xu Zhang ◽  
Yong Jiang ◽  
Yichuan Zhao ◽  
Haci Akcin
Keyword(s):  
Nonparametric Estimation ◽  
Hazard Function ◽  
Cumulative Hazard ◽  
Truncated Data ◽  
Cumulative Hazard Function

Survival estimation through the cumulative hazard function with monotone natural cubic splines

2012 ◽  
Vol 18 (3) ◽  
pp. 364-396 ◽  
Author(s):  
Leonidas E. Bantis ◽  
John V. Tsimikas ◽  
Stelios D. Georgiou
Keyword(s):  
Hazard Function ◽  
Cubic Splines ◽  
Cumulative Hazard ◽  
Cumulative Hazard Function ◽  
Survival Estimation ◽  
Natural Cubic Splines

APLIKASI METODE KERNEL DALAM ESTIMASI FUNGSI HAZARD

2005 ◽  
Vol 6 (2) ◽  
pp. 13
Author(s):  
Bambang Avip Priatna Martadiputra
Keyword(s):  
Distribution Function ◽  
Probability Density Function ◽  
Kernel Methods ◽  
Hazard Function ◽  
Kernel Method ◽  
Random Variable ◽  
Nonnegative Random Variable ◽  
Cumulative Hazard ◽  
Cumulative Hazard Function ◽  
Key Word

Let T be a nonnegative random variable representing the lifetimes of individuals in some population. Let f(t) denote the probability density function of T and F(t) denote the distribution function of T, the hazard function of T defined as  F(t) - 1  S(t)   whereS(t) f(t) h(t)   If equation (1) integrated we have cumulative hazard function H (t).  This paper describes application of kernel method for estimation of hazard function h (.) based censoring data. And then we will show that the hazard estimator is unbiased asymptotically, consistent, and normal asymptotically. Key word: kernel methods, estimation hazard function.

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