References
- Alam , Khursheed and Wallenius , K. T. 1976 . “Positive Dependence and Monotonicity in Conditional Distributions,” . Communications in Statistics , A5 : 525 – 34 .
- Arnold , Barry C. 1967 . “A Note on Multivariate Distributions with Specified Marginals,” . Journal of the American Statistical Association , 62 : 1460 – 1 .
- Barlow , Richard E. and Proschan , Frank . 1975 . Statistical Theory of Reliability and Life Testing, Probability Models , New York : Holt Rinehart and Winston .
- Barlow , Richard E. , Proschan , Frank , Marshall , Albert W. and Proschan , Frank . 1963 . “Properties of Probability Distributions with Monotone Hazard Rate,” . Annals of Mathematical Statistics , 34 : 375 – 89 .
- Brindley , E. C. Jr. and Thompson , W. A. Jr. 1972 . “Dependence and Aging Aspects of Multivariate Survival,” . Journal of the American Statistical Association , 67 : 822 – 30 .
- David , H. A. 1974 . “Parametric Approaches to the Theory of Competing Risks,” . In Reliability and Biometry , Edited by: Proschan , Frank and Serfling , R. J. Philadelphia : SIAM .
- Esary , James D. and Proschan , Frank . 1972 . “Relationships Among Some Concepts of Bivariate Dependence,” . Annals of Mathematical Statistics , 43 : 651 – 5 .
- Proschan , Frank and Walkup , D. W. 1967 . “Association of Random Variables, with Applications,” . Annals of Mathematical Statistics , 38 : 1466 – 74 .
- Harris , Robert . 1970 . “A Multivariate Definition for Increasing Hazard Rate Distribution Functions,” . Annals of Mathematical Statistics , 41 : 713 – 7 .
- Johnson , Norman L. and Kotz , Samuel . 1975 . “A Vector Multivariate Hazard Rate,” . Journal of Multivariate Analysis , 5 : 53 – 66 .
- Karlin , Samuel . 1968 . Total Positivity , Stanford , California : Stanford University Press .
- Kowalczyk , Teresa and Pleszczyńska , Elzbieta . 1977 . “Monotonic Dependence Functions of Bivariate Distributions,” submitted to the Annals of Statistics.
- Lehmann , Erich L. 1966 . “Some Concepts of Dependence,” . Annals of Mathematical Statistics , 37 : 1137 – 53 .
- Marshall , Albert W. and Olkin , Ingram . 1967 . “A Multivariate Exponential Distribution,” . Journal of the American Statistical Association , 62 : 30 – 44 .
- Rinott , Yossef . 1973 . “Multivariate Majorization and Rearrangement Inequalities with Some Applications to Probability and Statistics,” . Israel Journal of Mathematics , 15 : 60 – 77 .
- Shaked , Moshe . 1975 . “On Concepts of Dependence for Multivariate Distributions,” , Rochester , NY : Department of Statistics, University of Rochester . unpublished Ph.D. dissertation
- Shantaram , R. 1970 . “Convergence of a Sequence of Transformations of Distribution Functions-II,” . Pacific Journal of Mathematics , 33 : 217 – 32 .
- Yanagimoto , Takemi . 1972 . “Families of Positively Dependent Random Variables,” . Annals of the Institute of Statistical Mathematics , 24 : 559 – 73 .