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M. Degroot, M. Schervish (1977)
Probability and StatisticsTechnometrics, 19
M. Tiku, N. Kambo (1992)
Estimation and hypothesis testing for a new family of bivariate nonnormal distributionsCommunications in Statistics-theory and Methods, 21
A. Joarder, G. Beg (1999)
Estimation of the trace of the scale matrix of a multivariate t-model under a squared error lossStatistica, 59
A. Joarder, M. Ali (1998)
Estimation of the scale matrix of a multivariate t-model under entropy lossMetrika, 46
A. Dempster, N. Laird, D. Rubin (1977)
Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper
E. Hannan (1957)
SOME RECENT ADVANCES IN STATISTICSEconomic Record, 33
B. Sutradhar, M. Ali (1986)
Estimation of the parameters of a regression model with a multivariate t error variableCommunications in Statistics-theory and Methods, 15
Subir Ghosh, R. Little, D. Rubin (2020)
Missing DataDefinitions
(1985)
Computer generation of random vectors based on transformation if uniformly distributed vectors
A. Joarder, S. Ahmed (1996)
Estimation of the characteristic roots of the scale matrixMetrika, 44
W. James, C. Stein (1992)
Estimation with Quadratic Loss
A.P. Dempster, N.M. Laird, D.B. Rubin (1980)
Multivariate Analysis
G. McLachlan, D. Peel (1998)
Robust Cluster Analysis via Mixtures of Multivariate t-Distributions
J. Schafer (1997)
Analysis of Incomplete Multivariate Data
Chuanhai Liu (1995)
Missing data imputation using the multivariate t distributionJournal of Multivariate Analysis, 53
J. Jolion, P. Meer, Samira Bataouche (1991)
Robust Clustering with Applications in Computer VisionIEEE Trans. Pattern Anal. Mach. Intell., 13
D.B. Rubin (1983)
Encyclopedia of Statistical Sciences
(1959)
Optimal asymptotic tests for composite hypotheses
X. Zhuang, Y. Huang, K. Palaniappan, Y. Zhao (1996)
Gaussian density mixture modeling, decomposition and applicationsIEEE Trans. Image Process., 5
G. McLachlan, D. Peel (1999)
The EMMIX Algorithm for the Fitting of Normal and t-ComponentsJournal of Statistical Software, 4
K. Mardia (1970)
Measures of multivariate skewness and kurtosis with applicationsBiometrika, 57
Chuanhai Liu (1993)
Bartlett's decomposition of the posterior distribution of the covariance for normal monotone ignorable missing dataJournal of Multivariate Analysis, 46
(1990)
Efficiently creating multiple imputations for incomplete multivariate normal data
Yurij Kharin (1996)
Robustness in Statistical Pattern Recognition
Tom Leonard (1982)
A Simple Predictive Density Function: CommentJournal of the American Statistical Association, 77
R. Maronna (1976)
Robust $M$-Estimators of Multivariate Location and ScatterAnnals of Statistics, 4
D.B. Rubin, J.L. Schafer (1990)
Proceedings of the Statistical Computing Section of the American Statistical Association
K. Lange, J. Sinsheimer (1993)
Normal/Independent Distributions and Their Applications in Robust RegressionJournal of Computational and Graphical Statistics, 2
A.P. Dempster, N.M. Laird, D.B. Rubin (1977)
Maximum likelihood from incomplete data via the EM algorithm (with discussion)J. R. Stat. Soc. B, 39
D. Peel, G. McLachlan (2000)
Robust mixture modelling using the t distributionStatistics and Computing, 10
R. Kass, D. Steffey (1989)
Approximate Bayesian Inference in Conditionally Independent Hierarchical Models (Parametric Empirical Bayes Models)Journal of the American Statistical Association, 84
Chuanhai Liu (1996)
Bayesian robust multivariate linear regression with incomplete dataJournal of the American Statistical Association, 91
P. Hall (1989)
On Polynomial-Based Projection Indices for Exploratory Projection PursuitAnnals of Statistics, 17
R. Davé, R. Krishnapuram (1997)
Robust clustering methods: a unified viewIEEE Trans. Fuzzy Syst., 5
D. Smith, Trevor Bailey, A. Munford (1993)
Robust classification of high-dimensional data using artificial neural networksStatistics and Computing, 3
R.J.A. Little, D.B. Rubin (1987)
Statistical Analysis with Missing Data
M. Tiku, R. Suresh (1992)
A new method of estimation for location and scale parametersJournal of Statistical Planning and Inference, 30
A. Zellner (1976)
Bayesian and Non-Bayesian Analysis of the Regression Model with Multivariate Student- t Error TermsJournal of the American Statistical Association, 71
A. Joarder, S. Ahmed (1998)
Estimation of the scale matrix of a class of elliptical distributionsMetrika, 48
M. Jones, R. Sibson (1987)
What is projection pursuitJournal of the Royal Statistical Society, 150
I. Vaduva (1985)
Proceedings of the Seventh Conference on Probability Theory
Li Sun, John Hsu, I. Guttman, Tom Leonard (1996)
Bayesian Methods for Variance Component ModelsJournal of the American Statistical Association, 91
(1990)
Inference in multivariate elliptically contoured distributions based on maximum likelihood
R.E. Kass, D. Steffey (1989)
Approximate Bayesian in conditionally independent hierarchical modelsJ. Am. Stat. Assoc., 84
(1995)
ML estimation of the multivariate t distribution with unknown degrees of freedom
H. Frigui, R. Krishnapuram (1996)
A robust algorithm for automatic extraction of an unknown number of clusters from noisy dataPattern Recognit. Lett., 17
Murray Jorgensen (2006)
Iteratively Reweighted Least Squares
Author Wu, F. BYC., WU Jeff (1983)
ON THE CONVERGENCE PROPERTIES OF THE EM ALGORITHMAnnals of Statistics, 11
G.J. McLachlan, D. Peel (1998)
Lecture Notes in Computer Science
A.H. Joarder, S. Singh (1997)
Estimation of the trace of the scale matrix of a multivariate t-model using regression type estimatorStatistics, 29
D.B. Rubin (1987)
Multiple Imputation for Nonresponse in Surveys
K. Pearson (1923)
ON NON-SKEW FREQUENCY SURFACESBiometrika, 15
(1994)
The Laplacian T -approximation in Bayesian inference
P. Rousseeuw, L. Kaufman, E. Trauwaert (1996)
Fuzzy clustering using scatter matricesComputational Statistics & Data Analysis, 23
C. Dunnett (1955)
A Multiple Comparison Procedure for Comparing Several Treatments with a ControlJournal of the American Statistical Association, 50
P. Praetz (1977)
A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices: CommentThe Journal of Business, 50
R. Shanmugam, K. Fang, T. Anderson (1990)
Statistical Inference in Elliptically Contoured and Related Distributions
A. Joarder, M. Ali (1992)
On some generalized wishart expectationsCommunications in Statistics-theory and Methods, 21
(1980)
Iteratively weighted least squares for linear regression where errors are normal independent distributed
Jen-Tzung Chien (2002)
A Bayesian prediction approach to robust speech recognition and online environmental learningSpeech Commun., 37
A. Joarder, Sarjinder Singh (1997)
Estimation of The Trace of The Scale Matrix of A Multivariate T-Model Using Regression Type Estimator StatisticsStatistics, 29
H. Kelejian, I. Prucha (1985)
Independent or uncorrelated disturbances in linear regression: An illustration of the differenceEconomics Letters, 19
D. Dey (1988)
Simultaneous estimation of eigenvaluesAnnals of the Institute of Statistical Mathematics, 40
M.C. Jones, R. Sibson (1987)
What is projection pursuit (with discussion)?J. R. Stat. Soc. A, 150
Tom Leonard, John Hsu, Kam-Wah Tsui (1989)
Bayesian Marginal InferenceJournal of the American Statistical Association, 84
G. Nason (2001)
Robust projection indicesJournal of the Royal Statistical Society: Series B (Statistical Methodology), 63
M. Lejeune, G. Faulkenberry (1982)
A Simple Predictive Density FunctionJournal of the American Statistical Association, 77
B. Sutradhar (1993)
Score Test for the Covariance Matrix of the Elliptic t-DistributionJournal of Multivariate Analysis, 46
Emanuel Parzen, J. Neyman (1963)
Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and ProbabilityAmerican Mathematical Monthly, 70
X. Zhuang, Y. Huang, K. Palaniappan, Yunxin Zhao (1996)
Gaussian mixture density modeling, decomposition, and applicationsIEEE transactions on image processing : a publication of the IEEE Signal Processing Society, 5 9
G.J. Lauprete, A.M. Samarov, R.E. Welsch (2002)
Robust portfolio optimizationMetrika, 55
D. Peel, K. Basford, P. AdamsDepartment (2007)
THE EMMIX ALGORITHM FOR THE FITTING OF MIXTURES OF NORMAL AND t-COMPONENTS
D. Jensen (1994)
Closure of multivariate t and related distributionsStatistics & Probability Letters, 20
(1986)
Accurate approximations for posterior moments and marginal densities
P. Gill, M. Tiku, D. Vaughan (1990)
Inference problems in life testing under multivariate normalityJournal of Applied Statistics, 17
Robert Blattberg, Nicholas Gonedes (1974)
A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices: ReplyThe Journal of Business, 50
A. Joarder (1998)
Some useful Wishart expectations based on the multivariatet-modelStatistical Papers, 39
B. Sutradhar (1990)
Discrimination of observations into one of two t populationsBiometrics, 46
T. Leonard (1982)
Comment on “A simple predictive density function” by M. Lejeune and G.D. FaukkenberryJ. Am. Stat. Assoc., 77
The known estimation and simulation methods for multivariate t distributions are reviewed. A review of selected applications is also provided. We believe that this review will serve as an important reference and encourage further research activities in the area.
Acta Applicandae Mathematicae – Springer Journals
Published: Feb 1, 2008
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