Asymptotics for products of independent sums with an application to Wishart determinants

Grzegorz A. Rempała, Jacek Wesołowski

Type: Article

Publication Date: 2005-06-01

Citations: 17

DOI: https://doi.org/10.1016/j.spl.2005.04.034

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Statistics & Probability Letters - View

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Works That Cite This (16)

Action	Title	Year	Authors
+	Asymptotic behavior of random determinants in the Laguerre, Gram and Jacobi ensembles	2006	Alain Rouault
+ PDF Chat	Asymptotics for sums of a function of normalized independent sums	2008	K. M. Kosiński
+	A note on the ASCLT for triangular arrays of random variables with an extension to U-statistics	2012	Yong Zhang Xiao Yun Yang
+	A central limit theorem for the determinant of a Wigner matrix	2012	Terence Tao Van Vu
+ PDF Chat	Berry-Essén theorem for random determinants	2023	Charles-Philippe Diez Ciprian A. Tudor
+	The logarithmic law of sample covariance matrices near singularity	2017	Xuejun Wang Xiao Han Guangming Pan
+	Gaussian fluctuations of the determinant of Wigner Matrices.	2018	Paul Bourgade Krishnan Mody
+	Coverings of random ellipsoids, and invertibility of matrices with i.i.d. heavy-tailed entries	2015	Elizaveta Rebrova Konstantin Tikhomirov
+ PDF Chat	Large deviations of spread measures for Gaussian matrices	2016	Fabio Deelan Cunden Pierpaolo Vivo
+	Random matrices: Law of the determinant	2014	Hoi H. Nguyen Van Vu

Works Cited by This (8)

Action	Title	Year	Authors
+	A Refinement of the Central Limit Theorem for Random Determinants	1998	Vyacheslav L. Girko
+ PDF Chat	Asymptotics for Products of Sums and U-statistics	2002	Grzegorz A. Rempała Jacek Wesołowski
+	An Introduction to Multivariate Statistical Analysis	1986	Robb J. Muirhead T. W. Anderson
+ PDF Chat	A Class of Statistics with Asymptotically Normal Distribution	1992	Wassily Hoeffding
+	A note on asymptotic distribution of products of sums	2004	Xuewen Lu Yongcheng Qi
+ PDF Chat	Limit distributions for products of sums	2003	Yongcheng Qi
+ PDF Chat	A Class of Statistics with Asymptotically Normal Distribution	1948	Wassily Hoeffding
+	A note on asymptotic distribution of products of sums	2004	Xin Lü