Generalization of Brody distribution for statistical investigation

---

Sabri H., Hashemi S. S., Maleki B., Jafarizadeh M. A.

RANDOM MATRICES-THEORY AND APPLICATIONS, sa.4, 2014 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2014
• Doi Numarası: 10.1142/s2010326314500178
• Dergi Adı: RANDOM MATRICES-THEORY AND APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
• Hacettepe Üniversitesi Adresli: Hayır

Özet

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.