Asymptotic correlations with corrections for the circular Jacobi β-ensemble

2021 ◽  
pp. 105633
Author(s):  
Peter J. Forrester ◽  
Shi-Hao Li ◽  
Allan K. Trinh
Keyword(s):  
Asymptotic Correlations

New exact asymptotic correlations between the phase and modulus of the hadron scattering amplitude

1983 ◽  
Vol 26 (5) ◽  
pp. 439-442
Author(s):  
Yu. M. Lomsadze ◽  
A. N. Golosnoi ◽  
V. V. Koveshnikova
Keyword(s):  
Scattering Amplitude ◽  
Asymptotic Correlations

Relationships among Spearman's Rho, Kendall's Tau, and the Matching Problem

1987 ◽  
Vol 61 (2) ◽  
pp. 376-378
Author(s):  
Gordon Rae
Keyword(s):  
Matching Problem ◽  
Kendall’S Tau ◽  
Kendall's Tau ◽  
Spearman's Rho ◽  
Spearman’S Rho ◽  
Pearson Correlations ◽  
Asymptotic Correlations

Under an hypothesis of independence it is shown that a measure of agreement for ranked data based on the matching paradigm has asymptotic correlations of zero with Spearman's rho and Kendall's tau. However, for all values of n, the Pearson correlations between each pair of indices are simply related.

Asymptotic correlations at the spectrum edge of random matrices

1995 ◽  
Vol 435 (3) ◽  
pp. 401-420 ◽  
Author(s):  
Taro Nagao ◽  
Peter J. Forrester
Keyword(s):  
Random Matrices ◽  
Asymptotic Correlations

scholarly journals The Wiener Index of Random Trees

2002 ◽  
Vol 11 (6) ◽  
pp. 587-597 ◽  
Author(s):  
RALPH NEININGER
Keyword(s):  
Path Length ◽  
Probabilistic Models ◽  
Wiener Index ◽  
Binary Search ◽  
Random Trees ◽  
Binary Search Trees ◽  
Search Trees ◽  
Limit Laws ◽  
Recursive Trees ◽  
Asymptotic Correlations

The Wiener index is analysed for random recursive trees and random binary search trees in uniform probabilistic models. We obtain expectations, asymptotics for the variances, and limit laws for this parameter. The limit distributions are characterized as the projections of bivariate measures that satisfy certain fixed point equations. Covariances, asymptotic correlations, and bivariate limit laws for the Wiener index and the internal path length are given.

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