Generalization of Brody distribution for statistical investigation
Random Matrices: Theory and Applications, 2014•World Scientific
In this paper, Brody distribution is generalized to explore the Poisson, Gaussian Orthogonal
Ensemble and Gaussian Unitary Ensemble limits of Random Matrix Theory in the nearest
neighbor spacing statistic framework. Parameters of new distribution are extracted via
Maximum Likelihood Estimation technique for different sequences. This general distribution
suggests more exact results in comparison with the results of other estimation methods and
distribution functions.
Ensemble and Gaussian Unitary Ensemble limits of Random Matrix Theory in the nearest
neighbor spacing statistic framework. Parameters of new distribution are extracted via
Maximum Likelihood Estimation technique for different sequences. This general distribution
suggests more exact results in comparison with the results of other estimation methods and
distribution functions.
In this paper, Brody distribution is generalized to explore the Poisson, Gaussian Orthogonal Ensemble and Gaussian Unitary Ensemble limits of Random Matrix Theory in the nearest neighbor spacing statistic framework. Parameters of new distribution are extracted via Maximum Likelihood Estimation technique for different sequences. This general distribution suggests more exact results in comparison with the results of other estimation methods and distribution functions.
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