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Cited by 340

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Hazard Rate Estimation under Random Censoring with Varying Kernels and Bandwidths

Muller, Hans-Georg, Wang, Jane-Ling·1994·Biometrics

Abstract

We discuss the estimation of hazard rates under random censoring with the kernel method. Two practically relevant problems that occur when applying unmodified kernel estimators are boundary effects near the endpoints of the support of the hazard rate, and a substantial increase in the variance from left to right over the range of abscissae where the hazard rate is estimated. A new class of boundary kernels is proposed for the first problem. Explicit formulas for these kernels are developed, and it is shown that this boundary correction works well in practice. A data-adaptive varying bandwidth selection procedure is proposed for the second problem. This procedure generally will lead to increasing bandwidths near the left endpoint and toward the right endpoint, and will lead to smaller integrated mean squared error of the hazard rate estimator as compared to a fixed bandwidth method. A practically feasible method incorporating the new boundary kernels and local bandwidth choices is implemented and illustrated with survival data from a leukemia study.

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Metadata

Authors
Muller, H.-G., & Wang, J.-L.
Venue
Biometrics
Publisher
JSTOR
Published
1994-03
Volume
50
Issue
1
Pages
61
ISSN
0006-341X (ISSN-L)
OpenAlex
W2033791152
Cited by
340
References
11
FWCI
2.49
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Hazard Rate Estimation under Random Censoring with Varying Kernels and Bandwidths. https://app.cochat.ai/papers/10.2307/2533197
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Muller, H.-G., & Wang, J.-L. (1994). Hazard Rate Estimation under Random Censoring with Varying Kernels and Bandwidths. Biometrics. https://doi.org/10.2307/2533197

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