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Application

Implementation and Applications of Bivariate Gaussian Mixture Decomposition

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Pages 47-55 | Received 01 Nov 1973, Published online: 05 Apr 2012

References

  • Bhattacharya , C. G. 1967 . “A Simple Method of Resolution of a Distribution into Gaussian Components” . Biometrics , 23 March : 115 – 35 .
  • Buchanan-Wollaston , H. G. and Hodgeson , W. C. 1929 . “A New Method for Treating Frequency Curves in Fishery Statistics, with Some Results” . Journal of Conservation , 4 Spring : 207 – 25 .
  • Cassie , R. M. 1954 . “Some Uses of Probability Paper for the Graphical Analysis of Polymodal Frequency Distributions” . Australian Journal of Marine Freshwater Research , 5 Summer : 513 – 22 .
  • Day , N. E. 1969 . “Estimating the Components of a Mixture of Normal Distributions” . Biometrika , 56 December : 463 – 74 .
  • Doetsch , G. 1936 . “Zerlegung einer Function in Gauss'sche Fehlerkurven” . Mathematische Zeitschrift , 41 : 283 – 318 .
  • Eisenberger , I. 1964 . “Genesis of Bimodal Distributions” . Technometrics , 6 November : 357 – 63 .
  • Fellner , W. H. and Tarter , M. “Some New Results Concerning Density Estimates Based Upon Fourier Series” . Proceedings of Computer Science and Statistics—5th Annual Symposium . Edited by: Locks , M. pp. 54 – 64 . North Hollywood , Calif. : Western Periodicals Co. .
  • Gregor , J. 1969 . “An Algorithm for the Decomposition of a Distribution into Gaussian Components” . Biometrics , 25 March : 79 – 93 .
  • Harding , J. P. 1949 . “The Use of Probability Paper for Graphical Analysis of Polymodal Frequency Distributions” . Journal of the Marine Biological Association , 28 Spring : 141 – 53 .
  • Healy , M. J.R. 1972 . “Drawing a Probability Ellipse” . Journal of the Royal Statistical Society , 21 Spring : 202 – 4 . Ser. C
  • Kronmal , R. A. 1964 . “The Estimation of Probability Densities” , Los Angeles : Division of Biostatistics, University of California . unpublished doctoral dissertation
  • Kronmal , R. A. and Tarter . 1968 . “The M., Estimation of Probability Densities and Cumulatives by Fourier Series Methods” . Journal of the American Statistical Association , 63 September : 925 – 52 .
  • Labhart , H. 1947 . “Ein Auswertegerat fur Elektrophoresediagramme” . Experientia , 3 : 36 – 7 .
  • Martin , E. S. 1936 . “A Study of an Egyptian Series of Mandibles, with Special Reference to Mathematical Methods of Sexing” . Biometrika , 28 June : 149 – 78 .
  • Medgyessy , P. 1953 . “Valoszinuseg-eloszlas fuggvenyek keverekenek felbontasa osszetevoire” . Hungarian Academy of Science Communications Institute of Applied Mathematics , 2 Spring : 165 – 77 . (The Decomposition of Compound Probability Distributions, (in Hungarian))
  • Medgyessy , P. 1961 . Decomposition of Superpositions of Distribution Functions , Budapest : Publishing House of the Hungarian Academy of Sciences .
  • Noble , F. W. , Hayes , J. E. Jr. and Eden , M. “Repetitive Analog Computer for Analysis of Sums of Distribution Functions” . Proceedings of the IRE . Vol. 47 , November . pp. 1952 – 56 .
  • Orear , J. and Cassel , D. 1961 . “Applications of Statistical Inference to Physics” . In Foundations of Statistical Inference , Edited by: Godambe , V. P. and Sprott , D. A. 280 – 83 . Toronto : Holt, Rinehart, and Winston, Inc. .
  • Pearson , K. 1894 . “Contributions to the Mathematical Theory of Evolution” . Philosophical Translations of the Royal Society , 185A Spring : 71 – 110 .
  • Preston , E. J. 1953 . “A Graphical Method for the Analysis of Statistical Distributions into Two Normal Components” . Biometrika , 40 December : 460 – 64 .
  • Stanat , D. F. 1966 . Nonsupervised Pattern Recognition Through the Decomposition of Probability Functions , Technical Report, University of Michigan Sensory Intelligence Laboratory .
  • Stanat , D. F. 1968 . “Unsupervised Learning of Mixtures of Probability Functions” . In Pattern Recognition , Edited by: Kanal , L. N. 357 – 89 . Washington , D.C. : Thompson Book Co. .
  • Szigeti , Gy. 1947 . “Lumeniszkalo Anayagod” . Elegroktechnika , 39 : 70 – 73 .
  • Tarter , M. and Kronmal , R. A. 1970 . “On Multivariate Density Estimates Based on Orthogonal Expansions” . Annals of Mathematical Statistics , 41 April : 718 – 22 .
  • Tarter , Kronmal M.R.A. and Raman , S. “A Systematic Approach to Graphical Methods in Biometry” . Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, IV . pp. 199 – 222 . University of California Press .
  • Weichselberger , V. K. 1961 . “Uber ein Graphisches Verfahren zur Trunnung von Mischvertielungen und zur Identifikation Kupietier Normal-Verteilungen bei Grossem Stichprobennumfang” . Metrica , 3 Fall : 178 – 229 .
  • Wood , P. D.S. 1972 . “Prevalence of Plasma Lipoprotein Abnormalities in a Free-Living Population of the Central Valley, California” . Circulation , 45 January : 114 – 26 .

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