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Cited by 45,181

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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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  5. Berkson. J., “Estimation of the interval rate in actuarial calculations: a critique of the person-years concept.” (Summary) Journal of the American Statistical Association 49 (1954). 363.
  6. Böhmer, P.E., “Theorie der unabhängigen Wahrscheinlichkeiten,” Rapports. Mémoires et Prooès-verbaux de Septième Congrès International d’Actuaires, Amsterdam. 2 (1912), 327–43.
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  8. Davis, D.J., “An analysis of some failure data,” Journal of the American Statistical Association 47 (1952), 113–150. · DOI
  9. Epstein, Benjamin, and Sobel, Milton, “Lifetesting,” Journal of the American Statistical Association. 48 (1953). 486–502. · DOI
  10. Epstein, Benjamin, and Sobel, Milton, “Some theorems relevant to lifetesting from an exponential distribution,” Annals of Mathematical Statistics. 25 (1954), 373–81. · DOI · Paper page
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  17. Littell, A.S., “Estimation of the T-year survival rate from follow-up studies over a limited period of time,” Human Biology, 24 (1952), 87–116.
  18. Merrell, Margaret, “Time-specific life tables contrasted with observed survivorship,” Biometrics. 3 (1947), 129 - 36. · DOI
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  20. Savage. I.R., “Bibliography of nonparametric statistics and related topics.” Journal of the American Statistical Association, 48 (1953), 844–906. · DOI
  21. Seal, H.L., “The estimation of mortality and other decremental probabilities,” Skamlinavisk Aktuarletidskrift, 37 (1954), 137–62.
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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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