The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Estimation of Parameters for a Mixture of Normal Distributions
Abstract
n observations are taken from a mixture of K normal subpopulations, where the value of K is known. It is assumed that these n observations are given as N frequencies from equally spaced intervals. Initial guesses of the K means, K variances, and K − 1 proportions are made using the maximum likelihood estimates for a single truncated normal population as derived by Hald. Then an approximation to the likelihood function of the entire sample is used, and attempts to maximize this yield two iteration formulas. In practice, the method of steepest descent always converged, although the rate was not always fast. Special cases of equal variances and variances proportional to the square of the mean are also considered.
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Citations
Cites
Simplified estimators for the normal distribution when samples are singly censored or truncated
Cohen, A. C. (1959) · Technometrics · doi:10.1080/00401706.1959.10489859 · Cited by 425
Cited by
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
“Hasselblad (1966) discussed mixtures of R normals, and subsequently Hasselblad (1969) treated more general random sampling models, giving as examples mixtures of Poissons, binomials and exponentials.”
BackgroundMethodNonparametric 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
Identification of Individuals With Insulin Resistance Using Routine Clinical Measurements
Stern, S. E., Williams, K., Ferrannini, E., DeFronzo, R. A., Bogardus, C., & Stern, M. P. (2005) · Diabetes · doi:10.2337/diabetes.54.2.333 · Cited by 384
An Approach for Determining the Number of Clusters in a Model-Based Cluster Analysis
Akogul, S., & Erisoglu, M. (2017) · Entropy · doi:10.3390/e19090452 · Cited by 269
Boerwinkle, E., Menzel, H. J., Kraft, H. G., & Utermann, G. (1989) · Human Genetics · doi:10.1007/bf00288277 · Cited by 262
Metadata
- Authors
- Hasselblad, V.
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1966-08
- Volume
- 8
- Issue
- 3
- Pages
- 431-444
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W2046220244
- Cited by
- 492
- References
- 1
- FWCI
- 3.37
- Type
- journal article
- Language
- en
- Open access
- closed
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