Multinomial Probabilities, Permanents and a Conjecture of Karlin and Rinott
From MaRDI portal
Publication:3791958
DOI10.2307/2047205zbMath0647.60019OpenAlexW4247984237MaRDI QIDQ3791958
Publication date: 1988
Full work available at URL: https://doi.org/10.2307/2047205
binomial distributionconditionally negative definite matricesmultiparameter multinomial distribution
Inequalities; stochastic orderings (60E15) Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Measures of information, entropy (94A17)
Related Items
Generalized Euclidean distance matrices ⋮ Permanents, max algebra and optimal assignment ⋮ An extension of a theorem of Darroch and Ratcliff in loglinear models and its application to scaling multidimensional matrices ⋮ $M$-matrices satisfy Newton’s inequalities ⋮ Recursive and combinational formulas for permanents of general k-tridiagonal Toeplitz matrices ⋮ Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue ⋮ Nonlinearities and regimes in conditional correlations with different dynamics ⋮ On symmetric matrices with one positive eigenvalue and the interval property of some matrix classes ⋮ Permanents in probability and statistics ⋮ Positivity and conditional positivity of Loewner matrices ⋮ Inertia of non-integer Hadamard powers of a non-negative matrix ⋮ Loewner matrices and operator convexity ⋮ Hadamard inverses, square roots and products of almost semidefinite matrices
Cites Work
- Unnamed Item
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- Notes on Egoritsjev's proof of the van der Waerden conjecture
- Proof of the van der Waerden conjecture regarding the permanent of a doubly stochastic matrix
- The solution of van der Waerden's problem for permanents
- Positive definite kernels, continuous tensor products, and central limit theorems of probability theory
- Entropy inequalities for classes of probability distributions II. The multivariate case
- A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
- What is the Laplace Transform?