The DOI matches its Crossref record.
An Estimation Procedure for Mixtures of Distributions
Abstract
Notation: The symbols for estimators in this paper have been printed in light italic type. This is an exception from our usual typographic convention of showing matrices and vector quantities in bold black type, since in this case the large number of such symbols would seriously interfere with readability. Summary: A general method is proposed for estimating the mixing measures of combinations of known distributions. The method is applicable to continuous and discrete mixtures. The small sample behaviour of the method is investigated by Monte Carlo methods. In large samples it is shown that the estimator converges to the true mixing measure with probability 1 at the rate of almost O(n-½) and has an asymptotic normal distribution.
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Citations
Cited by
Mixture Densities, Maximum Likelihood and the EM Algorithm
Redner, R. A., & Walker, H. F. (1984) · SIAM Review · doi:10.1137/1026034 · Cited by 2,693
Nonparametric maximum likelihood estimation of a mixing distribution
Laird, N. (1978) · Journal of the American Statistical Association · doi:10.1080/01621459.1978.10480103 · Cited by 753
Deconvolving kernel density estimators
Stefanski, L. A., & Carroll, R. J. (1990) · Statistics · doi:10.1080/02331889008802238 · Cited by 454
Metadata
- Authors
- Choi, K., & Bulgren, W. G.
- Venue
- Journal of the Royal Statistical Society Series B: Statistical Methodology
- Publisher
- Oxford University Press (OUP)
- Published
- 1968-09-01
- Volume
- 30
- Issue
- 3
- Pages
- 444-460
- ISSN
- 1369-7412 (ISSN-L)
- 1467-9868
- OpenAlex
- W2904399645
- Cited by
- 175
- References
- 0
- FWCI
- 0.71
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: An Estimation Procedure for Mixtures of Distributions. https://app.cochat.ai/papers/10.1111/j.2517-6161.1968.tb00743.x
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- Choi, K., & Bulgren, W. G. (1968). An Estimation Procedure for Mixtures of Distributions. Journal of the Royal Statistical Society Series B: Statistical Methodology. https://doi.org/10.1111/j.2517-6161.1968.tb00743.x
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
