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Nonparametric Estimation from Incomplete Observations

Kaplan, E. L., Meier, Paul·1992·Springer Series in Statistics
DOI 10.1007/978-1-4612-4380-9_25
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Abstract

Abstract In lifetesting, medical follow-up, and other fields the observation of the time of occurrence of the event of interest (called a death) may be prevented for some of the items of the sample by the previous occurrence of some other event (called a loss). Losses may be either accidental or controlled, the latter resulting from a decision to terminate certain observations. In either case it is usually assumed in this paper that the lifetime (age at death) is independent of the potential loss time; in practice this assumption deserves careful scrutiny. Despite the resulting incompleteness of the data, it is desired to estimate the proportion P(t) of items in the population whose lifetimes would exceed t (in the absence of such losses), without making any assumption about the form of the function P(t). The observation for each item of a suitable initial event, marking the beginning of its lifetime, is presupposed. For random samples of size N the product-limit (PL) estimate can be defined as follows: L...

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Research works printed but not linked: 23

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Metadata

Authors
Kaplan, E. L., & Meier, P.
Venue
Springer Series in Statistics
Publisher
Springer New York
Published
1992
Pages
319-337
ISSN
0172-7397 (ISSN-L)
DOI
10.1007/978-1-4612-4380-9_25
OpenAlex
W1979300931
Cited by
45,181
References
0
FWCI
732.91
Type
book chapter
Language
en
Open access
closed

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Kaplan, E. L., & Meier, P. (1992). Nonparametric Estimation from Incomplete Observations. Springer Series in Statistics. https://doi.org/10.1007/978-1-4612-4380-9_25

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