Publications

Gupta A.K., Nguyen T.T., and Pardo L. (2007).  On Christensen's conjecture.  Statist. Papers 48, 313-319.

Gupta A.K., Nguyen T.T., and Pardo L. (2007).  Residual Analysis and Outliers in Loglinear Models Based on Phi-Divergence Statistics.  J. Statist. Plann. and Infer. 137, 1407-1423.

Nguyen T.T., Gupta A.K., Nguyen D.M., and Wang Y. (2006). Characterizations of Negative Multinomial Distributions Based on Conditional Distributions. Will appear on Metrika.  

Gupta A.K., Nguyen T.T., and Pardo L. (2006). Preliminary Phi-Divergence test estimator for multinomial probabilities. Comput. Statist. and Data Analysis 50, 1749-1773.  

Gupta A.K., Nguyen T.T., and Pardo L. (2006). Inference Procedures for Polytomous Logistic Regression Models based on Phi-Divergence Measures. Math. Methods of Statist. 15, 1-19.  

Kasturiratna D., Nguyen T.T., and Gupta A.K. (2006). Characterization of normal distribution related to two samples based on Regression. Will appear on Metrika.  

Gupta A.K., Jaganathan K., Nguyen T.T., and Shanbhag D.N. (2006). Characterizations of stable laws via functional equations. Math Nachr. 279, 571-580.  

Gupta A.K., Kasturiratna D., Nguyen T.T., and Pardo L. (2006). A new family of BAN estimators for polytomous logistic regression models based on Phi-Divergence measures. Statistical Methods and Appli. 15, 159-176.  

Wiegman D. and Nguyen T.T. (2006). Mating system and demographic constraints on the opportunity for sexual selection. Theor. Popul.Biology 69, 34-47.  

Nguyen T.T., Gupta A.K., Nguyen D.M., and Dinh K.T. (2005). A location-scale family generated by a symmetric distribution and the sample variance. Far East J. of Theor. Statist. 15, 235-249.

Nguyen T.T, (2004). Maximum Likelihood Estimators of the parameters in a Beta distribution.  Handbook of Beta distribution and its applications. 229-235. Marcel Dekker Inc.  

Gupta A.K., Nguyen T.T., and Pardo L. (2004). Phi-Residual based on minimum Phi-Divergence estimator in the log linear model of symmetry. Proceeding of the second Inter. Confer. on soft Method in Probability and Statist. (SMPS 2004) 299-306.  

Gupta A.K., Nguyen T.T., and Sanqui J.A. (2004). Characterization of the skew normal distribution.  Ann. Inst. Statist. Math. 56, 351-360.  

Nguyen T.T., Nguyen D.M., and Dinh K.T. (2004). A note on characterization of k-variate normal distribution. Far East J. Theor. Statist. 13, 15-19.  

Chen J., Gupta A.K., and Nguyen T.T. (2004). The density of the skew normal sample mean and its applications. J. Statist. Comp. and Simul. 74, 487-494.  

Dinh K.T., Nguyen N.T., and Nguyen T.T. (2003). A Regression characterization of Inverse Gaussian distributions and application to EDF goodness-of-fit tests. Inter. J. Math. and Math. Sciences 9, 587-592.  

Nguyen T.T., and Dinh K.T. (2003). Characterizations of normal distributions and EDF goodness-of-fit tests. Metrika 58, 149-157.  

Nguyen T.T., Chen J., Gupta A.K., and Dinh K.T. (2003). A proof of the conjecture on positive skewness of generalised inverse Gaussian distributions. Biometrika 90, 245-250.  

Nguyen T.T., and Dinh K.T. (2003). Exact EDF goodness-of-fit tests for inverse Gaussian distributions.  Comm. in Statist. Simul. and Comp. 32, 505-516.  

Gupta A.K., Nguyen T.T., Wang Y. and Wesolowski J. (2001). Identifiability of modified power series mixtures via posterior means. J. Mult. Analysis 77, 163-174.  

Gupta A.K., Nguyen T.T., and Wang Y.(2000). A characterization of the multivariate discrete exponential family.  Stochast. Anal. and Appli. 18, 417-427.  

Nguyen T.T., and Dinh K.T. (2000). Stability of characterization of normal distributions based on the first two conditional moments. Inter. J. Math. and Math. Sciences 23, 663-673.         

Gupta A.K., Nguyen T.T., and Wang Y. (1999). On maximum likelihood estimation of binomial n parameter.  Canad. J. Statist. 27, 599-606.    

Nguyen T.T., and Dinh K.T. (1999). Stability of characterizations of normal distributions based on conditional expected values of the sample skewness and the sample kurtosis. Metrika 49, 147-158.  

Nguyen T.T, and Dinh K.T. (1998). Characterizations of normal distributions supporting goodness-of-fit test based on sample skewness and sample kurtosis. Metrika 48, 21-30.    

Nguyen T.T., and Dinh K.T. (1997). A note on matrix variate normal distribution. J. Mult. Analysis 60,148-153.    

Gupta A.K., Nguyen T.T., and Zeng W.B. (1997). Characterization of multivariate distributions through a functional equation of their characteristic functions.  J. Statist. Plann. and Infer. 63, 187-201.  

Gupta A.K., Nguyen T.T., and Wang Y. (1997). Characterizations of some continuous distributions.  J. Italian Statist. Society 6, 59-65.  

Nguyen T.T., Gupta A.K., and Wang Y. (1996) A characterization of certain discrete exponential families. Ann. Inst. Statist. Math. 48, 573-576.  

Dinh K.T., Nguyen T.T., and Wang, Y. (1996). Characterizations of multinomial distributions based on conditional distributions. Inter. J. Math. and Math. Sciences 19, 596-602.    

Nguyen T.T., Rampala G., and Wesolowski J. (1996). Non Gaussian measures with Gaussian structure.  Prob. and Math. Statist. 16, 287-296.  

Wang Y., Gupta A.K., and Nguyen T.T. (1996). Characterization Theorem for some discrete distributions based on conditional structure.  Canad. J. Statist. 24, 257-262.  

Nguyen T.T. (1995). Conditional distributions and characterizations of multivariate stable distributions.  J. Mult. Analysis 53, 181-193.  

Nguyen T.T., and Dinh K.T. (1994). Maximum Likelihood Estimators of binomial parameters under an order restriction. The Amer. Statist. 48, 29-30.      

Nguyen T.T. (1994). A characterization of matrix variate normal distribution. Inter. J. Math. and Math. Sciences 17, 341-346.      

Gupta A.K., Nguyen T.T., and Zeng W.B. (1994). Conditions for stability of laws with all projections stable.  Sankhya: The Indian Journal of Statistisc A 56, 438-443.     

Gupta A.K., Nguyen T.T., and Zeng W.B. (1993). On a conditional Cauchy functional equation of several variables and a characterization of multivariate stable distribution.  Inter. J. Math. and Math. Sciences 16, 165-168.  

Nguyen T.T., and Sampson A.R. (1992). A note on characterization of multivariate stable distribution.  Ann. Inst. Statist. Math. 43, 793-801.  

Chou S.H., and Nguyen T.T. (1987). On Frechet Theorem in the set of measure preserving functions over the unit interval.  Inter. J. Math. and Math. Sciences 13, 373-378.  

Nguyen T.T., and Sampson A.R. (1987). Testing for positive Quadrant Dependence in Ordinal Contingency Tables. Naval Research Logistics 34, 857-877.   

Nguyen T.T., and Chou S.H. (1987). Sum of independent random variables and a characterization of Cauchy distribution. The Amer. Statist. 4, 160.    

Nguyen T.T. (1987). On Frechet Bound of Bivariate Distributions. Applied Probability, Stochastic Processes and Sampling Theory. Vol.1, University of Western Ontario, London, Canada, 179-188.  

Nguyen T.T., and Sampson A.R. (1985). The Geometry of certain fixed marginal probability distributions. Linear Algebra and its applications 70, 73-87.    

Nguyen T.T. (1985). A generalization of Fisher exact test in pxq contingency tables using more concordant relation.  Comm. Statist. Simul. Comput. 14, 633-645.     

Nguyen T.T., and Sampson A.R. (1985). Counting the number of pxq integer matrices more concordant than a given matrix.  Discrete Appl. 11, 187-205.   

Papers in preparation

Characterizations of Laplace distributions using as transformations in EDF goodness-of-fit tests.

A characterization of multivariate normal distribution by independent t distributions and EDF goodness-of-fit tests for multivariate normality.

A characterization of binomial distribution supporting the two-sided chi square goodness-of-fit test.

Maximum Likelihood Estimators of parameters of a multinomial distribution under a partial order restriction.