论文信息 - The enumeration of arrays and a generalization related to contingency tables - 字舞流文

The enumeration of arrays and a generalization related to contingency tables

Abstract New methods are described for enumerating arrays, and for a generalization that is required for a Bayesian analysis of contingency tables. Exact and approximate formulate are given, together with some number-theoretic results.

I. J. Good | J. F. Crook | I. Good | Publishing Compctny

[1] L. Carlitz,et al. Enumeration of symmetric arrays , 1966 .

[2] Irving John Good,et al. The Estimation of Probabilities: An Essay on Modern Bayesian Methods , 1965 .

[3] William O. J. Moser,et al. Arrays with fixed row and column sums , 1973, Discret. Math..

[4] I. Good. On the Application of Symmetric Dirichlet Distributions and their Mixtures to Contingency Tables , 1976 .

[5] Walter Ledermann,et al. Introduction to the theory of finite groups , 1949 .

[6] I. J. Good,et al. The Relationship Between Two Fast Fourier Transforms , 1971, IEEE Transactions on Computers.

[7] P. R. Stein,et al. The asymptotic number of integer stochastic matrices , 1971, Discret. Math..

[8] Hansraj Gupta,et al. A combinatorial distribution problem , 1966 .

[9] Patrick Eugene O'Neil. Asymptotics and random matrices with row-sum and column sum-restrictions , 1969 .

[10] R. C. Grimson. Enumeration of symmetric arrays with different row sums , 1972 .

[11] Edmund Taylor Whittaker,et al. A Course of Modern Analysis , 2021 .

[12] Hansraj Gupta. On the enumeration of symmetric matrices , 1971 .

[13] P. R. Stein,et al. ENUMERATION OF STOCHASTIC MATRICES WITH INTEGER ELEMENTS. , 1970 .

[14] Richard P. Stanley,et al. Linear homogeneous Diophantine equations and magic labelings of graphs , 1973 .