메뉴 건너뛰기




Volumn 4, Issue 1, 2013, Pages 1-11

Additive and multiplicative mixed normal distributions and finding cluster centers

Author keywords

Additive and multiplicative aggregations; Cluster analysis; Mixed normal distribution; Nonlinear modeling

Indexed keywords

ADDITIVES; CLUSTER ANALYSIS; COVARIANCE MATRIX; NORMAL DISTRIBUTION; PROBABILITY DENSITY FUNCTION;

EID: 84872345248     PISSN: 18688071     EISSN: 1868808X     Source Type: Journal    
DOI: 10.1007/s13042-012-0070-3     Document Type: Article
Times cited : (6)

References (52)
  • 1
    • 0011087562 scopus 로고
    • Some scaling models and estimation procedures in the latent class model
    • U. Grenander (Ed.), New York: Wiley
    • Anderson TW (1959) Some scaling models and estimation procedures in the latent class model. In: Grenander U (ed) Probability and statistics. The Harald Cramer volume. Wiley, New York, pp 9-38.
    • (1959) Probability and Statistics. The Harald Cramer Volume , pp. 9-38
    • Anderson, T.W.1
  • 2
    • 0027453616 scopus 로고
    • Model-based Gaussian and non-Gaussian clustering
    • Banfield JD, Raftery AE (1993) Model-based Gaussian and non-Gaussian clustering. Biometrics 49: 803-821.
    • (1993) Biometrics , vol.49 , pp. 803-821
    • Banfield, J.D.1    Raftery, A.E.2
  • 6
    • 84872329484 scopus 로고    scopus 로고
    • A comparison of heuristic procedures for minimum within-cluster sums of squares partitioning
    • Brusco MJ, Steinley D (2007) A comparison of heuristic procedures for minimum within-cluster sums of squares partitioning. Psychometrika 73: 125-144.
    • (2007) Psychometrika , vol.73 , pp. 125-144
    • Brusco, M.J.1    Steinley, D.2
  • 7
    • 34147168651 scopus 로고
    • Testing for the equivalence of factor covariance and mean structures: the issue of partial measurement invariance
    • Byrne BM, Shavelson RJ, Muthen B (1989) Testing for the equivalence of factor covariance and mean structures: the issue of partial measurement invariance. Psychol Bull 105: 456-466.
    • (1989) Psychol Bull , vol.105 , pp. 456-466
    • Byrne, B.M.1    Shavelson, R.J.2    Muthen, B.3
  • 8
    • 0012937447 scopus 로고    scopus 로고
    • Mode-finding for mixtures of Gaussian distributions
    • see animations at
    • Carreira-Perpinan M (2000) Mode-finding for mixtures of Gaussian distributions, IEEE Trans Pattern Anal Mach Intel 22: 1318-1323 (see animations at http://www. cs. toronto. edu/~miguel/research/GMmodes. html).
    • (2000) IEEE Trans Pattern Anal Mach Intel , vol.22 , pp. 1318-1323
    • Carreira-Perpinan, M.1
  • 9
    • 35248860813 scopus 로고    scopus 로고
    • On the number of modes of a Gaussian mixture. Scale-space methods in computer vision
    • Springer, New York
    • Carreira-Perpinan M, Williams C (2003) On the number of modes of a Gaussian mixture. Scale-space methods in computer vision. Lecture Notes in Comput. Sci., vol 2695. Springer, New York, pp 625-640.
    • (2003) Lecture Notes in Comput. Sci. , vol.2695 , pp. 625-640
    • Carreira-Perpinan, M.1    Williams, C.2
  • 11
    • 0005542964 scopus 로고
    • Compound normal distribution (advanced problems and solutions)
    • Cohen AC, Burke PJ (1956) Compound normal distribution (advanced problems and solutions). Am Math Mon 63: 129.
    • (1956) Am Math Mon , vol.63 , pp. 129
    • Cohen, A.C.1    Burke, P.J.2
  • 14
    • 2142857567 scopus 로고    scopus 로고
    • technical report no. 311. Dept. of Statistics, University of Washington, Seattle
    • Fraley C (1996) Algorithms for model-based Gaussian hierarchical clustering, technical report no. 311. Dept. of Statistics, University of Washington, Seattle. http://www. cba. ua. edu/~mhardin/tr311. pdf.
    • (1996) Algorithms for model-based Gaussian hierarchical clustering
    • Fraley, C.1
  • 15
    • 0035998835 scopus 로고    scopus 로고
    • Model-based clustering, discriminant analysis, and density estimation
    • Fraley C, Raftery AE (2002) Model-based clustering, discriminant analysis, and density estimation. J Am Stat Assoc 97: 611-631.
    • (2002) J Am Stat Assoc , vol.97 , pp. 611-631
    • Fraley, C.1    Raftery, A.E.2
  • 16
    • 0000764772 scopus 로고
    • The use of multiple measurements in taxonomic problems
    • Fisher RA (1936) The use of multiple measurements in taxonomic problems. Ann Eugen 7(part II): 179-188.
    • (1936) Ann Eugen , vol.7 , Issue.PART II , pp. 179-188
    • Fisher, R.A.1
  • 17
    • 0036828893 scopus 로고    scopus 로고
    • Modeling birthweight and gestational age distributions: additive vs. multiplicative processes
    • Gage TB (2002) Modeling birthweight and gestational age distributions: additive vs. multiplicative processes. Am J Hum Biol 14: 728-734.
    • (2002) Am J Hum Biol , vol.14 , pp. 728-734
    • Gage, T.B.1
  • 18
    • 0037560959 scopus 로고    scopus 로고
    • A comparison of the multidimensional scaling of triadic and dyadic distances
    • Gower J, deRooij M (2003) A comparison of the multidimensional scaling of triadic and dyadic distances. J Classif 20: 115-136.
    • (2003) J Classif , vol.20 , pp. 115-136
    • Gower, J.1    deRooij, M.2
  • 19
    • 84857569171 scopus 로고    scopus 로고
    • Clustering data in stationary environments with a local network neighborhood artificial immune system
    • doi: 10. 1007/s13042-011-0041-0
    • Graaff AJ, Engelbrecht AP (2011) Clustering data in stationary environments with a local network neighborhood artificial immune system. Int J Mach Learn Cyber. doi: 10. 1007/s13042-011-0041-0.
    • (2011) Int J Mach Learn Cyber.
    • Graaff, A.J.1    Engelbrecht, A.P.2
  • 20
    • 84863262331 scopus 로고    scopus 로고
    • Soft subspace clustering with an improved feature weight self-adjustment mechanism
    • doi: 10. 1007/s13042-011-0038-8
    • Guo GD, Chen S, Chen LF (2011) Soft subspace clustering with an improved feature weight self-adjustment mechanism. Int J Mach Learn Cyber. doi: 10. 1007/s13042-011-0038-8.
    • (2011) Int J Mach Learn Cyber.
    • Guo, G.D.1    Chen, S.2    Chen, L.F.3
  • 21
    • 0003737803 scopus 로고
    • Factor analysis by least-squares and maximum-likelihood methods
    • K. Enslein, A. Ralston, and H. S. Wilf (Eds.), New York: Wiley
    • Joreskog KG (1977) Factor analysis by least-squares and maximum-likelihood methods. In: Enslein K, Ralston A, Wilf HS (eds) Statistical methods for digital computers. Wiley, New York, pp 125-153.
    • (1977) Statistical Methods for Digital Computers , pp. 125-153
    • Joreskog, K.G.1
  • 22
    • 0001766512 scopus 로고
    • Some contributions to maximum likelihood factor analysis
    • Joreskog KG (1967) Some contributions to maximum likelihood factor analysis. Psychometrika 32: 443-482.
    • (1967) Psychometrika , vol.32 , pp. 443-482
    • Joreskog, K.G.1
  • 23
    • 0001101345 scopus 로고
    • Factor analysis by generalized least squares
    • Joreskog KG, Goldberger AS (1972) Factor analysis by generalized least squares. Psychometrika 37: 243-259.
    • (1972) Psychometrika , vol.37 , pp. 243-259
    • Joreskog, K.G.1    Goldberger, A.S.2
  • 24
    • 0043054142 scopus 로고
    • Linear probability functions and discriminant functions
    • Ladd JW (1966) Linear probability functions and discriminant functions. Econometrica 34: 873-885.
    • (1966) Econometrica , vol.34 , pp. 873-885
    • Ladd, J.W.1
  • 26
    • 84861492561 scopus 로고    scopus 로고
    • Clustering based on Steiner points
    • doi: 10. 1007/s13042-011-0047-7
    • Liang JZ, Song W (2011) Clustering based on Steiner points. Int J Mach Learn Cyber. doi: 10. 1007/s13042-011-0047-7.
    • (2011) Int J Mach Learn Cyber.
    • Liang, J.Z.1    Song, W.2
  • 28
    • 36149050367 scopus 로고
    • On the character of the interference of resonances with a continuum in the spectra of electrons ejected from atoms by protons
    • Lipovetsky S, Senashenko V (1972) On the character of the interference of resonances with a continuum in the spectra of electrons ejected from atoms by protons. J Phys B 5: 183-186.
    • (1972) J Phys B , vol.5 , pp. 183-186
    • Lipovetsky, S.1    Senashenko, V.2
  • 29
    • 36149053502 scopus 로고
    • On the shape of resonance in the spectra of electrons ejected from helium atoms during their encounter with fast electrons and protons
    • Lipovetsky S, Senashenko V (1974) On the shape of resonance in the spectra of electrons ejected from helium atoms during their encounter with fast electrons and protons. J Phys B 7: 693-703.
    • (1974) J Phys B , vol.7 , pp. 693-703
    • Lipovetsky, S.1    Senashenko, V.2
  • 30
    • 22944454869 scopus 로고    scopus 로고
    • Regression by data segments via discriminant analysis
    • Lipovetsky S, Conklin M (2005) Regression by data segments via discriminant analysis. J Modern Appl Stat Methods 4: 63-74.
    • (2005) J Modern Appl Stat Methods , vol.4 , pp. 63-74
    • Lipovetsky, S.1    Conklin, M.2
  • 31
    • 34547610449 scopus 로고    scopus 로고
    • Equidistant regression modeling
    • Lipovetsky S (2007) Equidistant regression modeling. Model Assist Stat Appl 2: 71-80.
    • (2007) Model Assist Stat Appl , vol.2 , pp. 71-80
    • Lipovetsky, S.1
  • 32
    • 51649097829 scopus 로고    scopus 로고
    • PCA and SVD with nonnegative loadings
    • Lipovetsky S (2009) PCA and SVD with nonnegative loadings. Pattern Recognit 42: 68-76.
    • (2009) Pattern Recognit , vol.42 , pp. 68-76
    • Lipovetsky, S.1
  • 33
    • 60949109642 scopus 로고    scopus 로고
    • Linear regression with special coefficient features attained via parameterization in exponential, logistic, and multinomial-logit forms
    • Lipovetsky S (2009) Linear regression with special coefficient features attained via parameterization in exponential, logistic, and multinomial-logit forms. Math Comput Model 49: 1427-1435.
    • (2009) Math Comput Model , vol.49 , pp. 1427-1435
    • Lipovetsky, S.1
  • 34
    • 79961039032 scopus 로고    scopus 로고
    • On-line elimination of local redundancies in evolving fuzzy systems
    • Lughofer E, Bouchot JL, Shaker A (2011) On-line elimination of local redundancies in evolving fuzzy systems. Evolv Syst 2: 165-187.
    • (2011) Evolv Syst , vol.2 , pp. 165-187
    • Lughofer, E.1    Bouchot, J.L.2    Shaker, A.3
  • 36
    • 0043169230 scopus 로고
    • Factor analysis
    • In: Kotz S, Johnson NL (eds), Wiley, New York
    • Maxwell AE (1983) Factor analysis. In: Kotz S, Johnson NL (eds) Encyclopedia of statistical sciences, vol 3. Wiley, New York, pp 2-8.
    • (1983) Encyclopedia of statistical sciences , vol.3 , pp. 2-8
    • Maxwell, A.E.1
  • 38
    • 0034343409 scopus 로고    scopus 로고
    • Statistical estimation for multiplicative cascades
    • Ossiander M, Waymire EC (2000) Statistical estimation for multiplicative cascades. Ann Stat 28: 1533-1560.
    • (2000) Ann Stat , vol.28 , pp. 1533-1560
    • Ossiander, M.1    Waymire, E.C.2
  • 39
    • 0010069692 scopus 로고
    • The multiplicative process
    • Otter R (1948) The multiplicative process. Ann Math Stat 20: 206-224.
    • (1948) Ann Math Stat , vol.20 , pp. 206-224
    • Otter, R.1
  • 40
    • 30344468432 scopus 로고    scopus 로고
    • The topography of multivariate normal mixtures
    • Ray S, Lindsay BG (2005) The topography of multivariate normal mixtures. Ann Stat 33: 2042-2065.
    • (2005) Ann Stat , vol.33 , pp. 2042-2065
    • Ray, S.1    Lindsay, B.G.2
  • 41
    • 0000273516 scopus 로고
    • Random mulitplicative processes: an elementary tutorial
    • Redner S (1990) Random mulitplicative processes: an elementary tutorial. Am J Phys 58: 267-273.
    • (1990) Am J Phys , vol.58 , pp. 267-273
    • Redner, S.1
  • 42
    • 18244378520 scopus 로고    scopus 로고
    • On Bayesian analysis of mixtures with an unknown number of components (with discussion)
    • Richardson S, Green P (1997) On Bayesian analysis of mixtures with an unknown number of components (with discussion). J R Stat Soc Ser B 59: 731-792.
    • (1997) J R Stat Soc Ser B , vol.59 , pp. 731-792
    • Richardson, S.1    Green, P.2
  • 43
    • 0033611397 scopus 로고    scopus 로고
    • Reparametrization issues in mixture estimation and their bearings on the Gibbs sampler
    • Robert C, Mengersen K (1999) Reparametrization issues in mixture estimation and their bearings on the Gibbs sampler. Comput Stat Data Anal 29: 325-343.
    • (1999) Comput Stat Data Anal , vol.29 , pp. 325-343
    • Robert, C.1    Mengersen, K.2
  • 44
    • 0001475895 scopus 로고
    • A graphical technique for determining the number of components in a mixture of normal
    • Roeder K (1994) A graphical technique for determining the number of components in a mixture of normal. J Am Stat Assoc 89: 487-495.
    • (1994) J Am Stat Assoc , vol.89 , pp. 487-495
    • Roeder, K.1
  • 45
    • 21744460005 scopus 로고    scopus 로고
    • Practical Bayesian density estimation using mixtures of normal
    • Roeder K, Wasserman L (1997) Practical Bayesian density estimation using mixtures of normal. J Am Stat Assoc 92: 894-902.
    • (1997) J Am Stat Assoc , vol.92 , pp. 894-902
    • Roeder, K.1    Wasserman, L.2
  • 48
    • 84872318627 scopus 로고    scopus 로고
    • S-PLUS'2000 (1999) MathSoft Inc., Seattle
    • S-PLUS'2000 (1999) MathSoft Inc., Seattle.
  • 49
    • 0000600115 scopus 로고    scopus 로고
    • Multiplicative processes and power laws
    • Sornette D (1998) Multiplicative processes and power laws. Phys Rev E 57: 4811-4813.
    • (1998) Phys Rev E , vol.57 , pp. 4811-4813
    • Sornette, D.1
  • 50
    • 33744761434 scopus 로고    scopus 로고
    • Hierarchical clustering via joint between-within distances: extending Ward's minimum variance method
    • Szekely GJ, Rizzo ML (2005) Hierarchical clustering via joint between-within distances: extending Ward's minimum variance method. J Classif 22: 151-183.
    • (2005) J Classif , vol.22 , pp. 151-183
    • Szekely, G.J.1    Rizzo, M.L.2
  • 51
    • 78651273614 scopus 로고    scopus 로고
    • Constrained factor models
    • Tsai H, Tsay RS (2010) Constrained factor models. J Am Stat Assoc 105: 1593-1605.
    • (2010) J Am Stat Assoc , vol.105 , pp. 1593-1605
    • Tsai, H.1    Tsay, R.S.2
  • 52
    • 80052019713 scopus 로고    scopus 로고
    • Problem of knowledge discovery in noisy databases
    • Vagin V, Fomina M (2011) Problem of knowledge discovery in noisy databases. Int J Mach Learn Cyber 2: 135-145.
    • (2011) Int J Mach Learn Cyber , vol.2 , pp. 135-145
    • Vagin, V.1    Fomina, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.