Some concepts of positive dependence for bivariate interchangeable distributions

DOI10.1007/BF02480266zbMath0446.60011MaRDI QIDQ1145935

Shaked, Moshe

Publication date: 1979

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

zbMATH Keywords

random environmentreliability theorystatistical mechanicsclosure propertiesreversible Markov processespositively dependent interchangeable distributions

Mathematics Subject Classification ID

Characterization and structure theory for multivariate probability distributions; copulas (62H05) Probability distributions: general theory (60E05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items

The effectiveness of English auctions. ⋮ Local times of stochastic processes with positive definite bivariate densities ⋮ On a new positive dependence concept based on the conditional mean inactivity time order ⋮ Detecting positive quadrant dependence and positive function dependence ⋮ NONNEGATIVITY OF COVARIANCES BETWEEN FUNCTIONS OF ORDERED RANDOM VARIABLES ⋮ Monotonicity of Positive Dependence with Time for Stationary Reversible Markov Chains ⋮ Positive dependence orderings ⋮ Cores of inventory centralization games ⋮ Some partial orderings of exchangeable random variables by positive dependence ⋮ Positive dependence in Markov chains ⋮ On bivariate dependence and the convex order

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Families of positively dependent random variables
• A concept of positive dependence for exchangeable random variables
• Multivariate logistic distributions
• Note on the multivariate Burr's distribution
• Schlicht mappings and infinitely devisible kernels
• Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
• Events which are almost independent
• The Structure of Bivariate Distributions
• On infinitely divisible matrices, kernels, and functions
• A nots on the exchangeable generalized farlie-gumbel-morgenstern distributions
• A Family of Concepts of Dependence for Bivariate Distributions
• An application of extreme point methods to the representation of infinitely divisible distributions
• Some Concepts of Dependence
• An Inequality for a Class of Bivariate Chi-Square Distributions
• The Theory of Infinitely Divisible Matrices and Kernels
• Association of Random Variables, with Applications
• Canonical Expansions of Birth and Death Processes
• A review of transient behavior in regular diffusion and birth-death processes. Part II
• Inequalities for Some Multivariate f-Distributions with Applications
• Some Probability Inequalities of Multivariate Normal and Multivariate t
• A Note on Positive Dependence and the Structure of Bivariate Distributions
• Fredholm Determinant of a Positive Definite Kernel of a Special Type and Its Application
• Relationships Among Some Concepts of Bivariate Dependence
• XI.—On Fourfold Sampling with and without Replacement