The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Estimation of Parameters and Large Quantiles Based on the k Largest Observations
Abstract
We consider an estimation problem when only the k largest observations of a sample of size n are available. It is assumed that the underlying distribution function F belongs to the domain of attraction of a known extreme-value distribution and that k remains fixed as n → ∞. We present estimators for the location and scale parameters and for p-quantiles of F, where p is of the form 1 — c/n (c fixed). These estimators are either asymptotically maximum likelihood or minimum variance.
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Cites
Continuous Univariate Distributions.
Omori, Y., Johnson, N. L., Kotz, S., & Balakrishnan, N. (1995) · Journal of the American Statistical Association · doi:10.2307/2291547 · Cited by 9,084
Gumbel, E. J. (1958) · Columbia University Press eBooks · doi:10.7312/gumb92958 · Cited by 5,567
Statistical Inference Using Extreme Order Statistics
III, J. P. (1975) · The Annals of Statistics · doi:10.1214/aos/1176343003 · Cited by 3,567
A Simple General Approach to Inference About the Tail of a Distribution
Hill, B. M. (1975) · The Annals of Statistics · doi:10.1214/aos/1176343247 · Cited by 3,086
Sur La Distribution Limite Du Terme Maximum D'Une Serie Aleatoire
Gnedenko, B. (1943) · The Annals of Mathematics · doi:10.2307/1968974 · Cited by 2,258
On Regular Variation and Its Application to the Weak Convergence of Sample Extremes
Berman, S. M., & de Haan, L. (1972) · Technometrics · doi:10.1080/00401706.1972.10488905 · Cited by 611
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Plackett, R. L., Sarhan, A. E., & Greenberg, B. G. (1963) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2982375 · Cited by 440
Epstein, B. (1960) · Technometrics · doi:10.1080/00401706.1960.10489882 · Cited by 136
Cited by
A significance test for the lasso
Lockhart, R., Taylor, J., Tibshirani, R. J., & Tibshirani, R. (2014) · The Annals of Statistics · doi:10.1214/13-aos1175 · Cited by 541
Metadata
- Authors
- Weissman, I.
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1978-12
- Volume
- 73
- Issue
- 364
- Pages
- 812-815
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W2021823919
- Cited by
- 462
- References
- 9
- FWCI
- 3.14
- Type
- journal article
- Language
- en
- Open access
- closed
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- Weissman, I. (1978). Estimation of Parameters and Large Quantiles Based on the k Largest Observations. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1978.10480104
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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