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RA Boyles (1983)
On the convergence of the EM algorithm, 45
R. Mann, R. Hand, G. Braslawsky (1983)
Parametric analysis of histograms measured in flow cytometry.Cytometry, 4 1
R. Redner, H. Walker (1984)
Mixture densities, maximum likelihood, and the EM algorithmSiam Review, 26
V. Hasselblad (1966)
Estimation of parameters for a mixture of normal distributionsTechnometrics, 8
Author Wu, F. BYC., WU Jeff (1983)
ON THE CONVERGENCE PROPERTIES OF THE EM ALGORITHMAnnals of Statistics, 11
P Dempster, NM Laird, DB Rubin (1977)
Maximum‐likelihood from incomplete data via the EM algorithm, 39
B. Everitt, D. Hand (1981)
Finite Mixture Distributions
M. Kendall (1945)
The advanced theory of statistics
B. Jr., H. Walker (1978)
An iterative procedure for obtaining maximum-likelihood estimates of the parameters for a mixture of normal distributionsSiam Journal on Applied Mathematics, 35
K Pearson (1884)
Contribution to the mathematical theory of evolution, 185A
beginning with an appropriate chosen vector y(Oâ. The authors stated correctly that the iteration 4 will converge if for any matrix norm 11 * 1) (compatible with the of September 17,1985 vector norm used in Rd) the Jacobian 9â @ obeys In a paper by R.L. Mann et al. (6),the authors dealt with 11 @â(y*) 11 < x , h < 1 (5) a principal step in processing spectroscopic histograms. They considered the so-called mixture problem for the in a neighborhoodof an unknown fixed point y* of (3). univariate normal case using the statistical approach. It is highly desirable to know sets in the parameter Given a histogram space where inequality 5 is fulfilled. Thus the objective of the authors (6) is considered important, and the present author feels that some comments are needed. The where the XkcR are the variate values defining the his- âmatrix normâ used for a d x d matrix A: =(aiJ togram classes and the h&+ the corresponding fre(6) (1 A 11: = max{laijl: i, j c ( 1 , . . . , d}} quencies, suppose that H stems from a sample that was drawn from a parent distribution with the mixture
Cytometry Part A – Wiley
Published: Mar 1, 1986
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