APLIKASI METODE KERNEL DALAM ESTIMASI FUNGSI HAZARD
DOI:
https://doi.org/10.18269/jpmipa.v6i2.34987Keywords:
kernel methods, estimation hazard functionAbstract
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 :
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.
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References
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Gasser, Th., Muller, H. G. (1979). “Kernel estimation of regression functions”. In Smoothing Teqniques for Curve Estimation. Gesser, Th. Dan Rosenblatt, M. (eds.). Heidelberg : Springer.
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Ramlau-Hansen, H. (1983). “Smoothing Counting Processes by Mean of Kernel Function”. The Annals of Statistics, 11, 453-466.
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