On the Conditional Dependence Structure of Multivariate Random Variables |
Baek, Jong-Il
(Division of Mathematics & Information Statistics and Institute of Basic Natural Science, Wonkwang University)
Park, Sung-Tae (School of Business Administration, Wonkwang University) Chung, Sung-Mo (Division of Mathematics & Information Statistics and Institute of Basic Natural Science, Wonkwang University) Lee, Gil-Hwan (Graduate Students of Informational Statistics Dependent, Wonkwang University) Heo, Gil-Pyo (Graduate Students of Informational Statistics Dependent, Wonkwang University) |
1 | Baek, J.I. (1997). A weakly dependence structure of multivariate processes. Statistics & Probability Letters, Vol. 34, 355-363 DOI ScienceOn |
2 | Shaked, M. (1982). A General Theory of Some Positive Dependence Notions. Journal of Multivariate Analysis, Vol. 12, 199-218 DOI |
3 | Skorokhod, A.V. (1956). Limit theorems for stochastic processes. Journal Probability Application. (translated by SIAM. Vol. 1, 261-290) DOI |
4 | Tukey, J.W. (1958). A Problem of Berkson, and Minimum Variance Orderly Estimators. Annals Mathematical of Statistic,. Vol. 29, 588-592 DOI |
5 | Ahmed, A.-H. N., Langberg, N.A, Leon, R. and Frank, P. (1978), Two Concepts of Positive Dependence with Applications in Multivariate Analysis. Technical Report AFOSR 78-6, Department of Statistics, Florida State University |
6 | Ahmed, A.-H. N., Langberg, N.A, Leon, R. and Frank, P. (1979). Partial Ordering of Positive Quadrant Dependence with Applications. Technical Report 78-5, Florida State University |
7 | Barlow, R.E. and Frank P. (1975). Statistical Theory of Reliability and Life Testing: Probability Models. Holt, Rinehart and Winston, Inc., New York |
8 | Holland, P.W. and Rosenbaum, P.R. (1986). Conditional Association and Unidi mensionality in Monotone Latent Variable Models. Annals of Statistics, Vol. 14, 523-1543 |
9 | Karlin, S. and Rinott, Y. (1980). Classes of orderings of measures and related correlation inequalities. Journal of Multivariate Analysis, Vol. 10, 467-498 DOI |
10 | Brady, B. and Singpurwalla, N.D. (1990). Stochastically Monotone Dependence Topics in Statistical Dependence,(H. W Block, A. R. Sampson, T. H. Savits Ed.) Inst. Math Statist., Vol. 16, 93-102 |
11 | Kimeldorf, G. and Sampson, A.R. (1978). Monotone Dependence. Annals of Statistics, Vol. 6, 895-903 DOI |
12 | Lehmann, E.L. (1966). Some Concepts of Dependence. Annals of Mathematical Statistics, Vol. 37, 1137-1153 DOI |
13 | Sampson, A.R. (1983). Positive dependence properties of elliptically symmetric distri butions. Journal of Multivariate Analysis, Vol. 13, 375-381 DOI |
14 | Ebrahimi, N. and Ghosh, M. (1981). Multivariate Negative Dependence. Communications in Statistics, Vol. 10, 307-339 DOI ScienceOn |