Asymptotic results for random sums of dependent random variables

Ümi̇t Işlak

Type: Article

Publication Date: 2015-11-10

Citations: 11

DOI: https://doi.org/10.1016/j.spl.2015.10.015

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Statistics & Probability Letters - View

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Works That Cite This (9)

Action	Title	Year	Authors
+	On the rate of convergence in the central limit theorem for random sums of strongly mixing random variables	2018	J. Sunklodas
+ PDF Chat	On the large O−rates of convergence in limit theorems for compound random sums of arrays of row-wise independent random variables	2022	Trần Lộc Hùng
+	On the rate of convergence in the global central limit theorem for random sums of uniformly strong mixing random variables	2020	J. Sunklodas
+	On the rates of convergence in weak limit theorems for geometric random sums of the strictly stationary sequence of m-dependent random variables	2020	Trần Lộc Hùng Phan TriKien
+	On the Rates of Convergence in Central Limit Theorems for Compound Random Sums of Independent Random Variables	2021	Trần Lộc Hùng
+	On some approximations for sums of m-dependent random variables	2023	J. Sunklodas
+	Localisation-Resistant Random Words with Small Alphabets	2019	Cyril Gavoille Ghazal Kachigar Gilles Zémor
+	On the Order of Approximation in Limit Theorems for Negative–Binomial Sums of Strictly Stationary m-Dependent Random Variables	2021	Trần Lộc Hùng Phan Tri Kien
+	Sum of Dependent Variables Generated by Alternating Poisson Flow	2022	Alexander Andronov Kristina Mahareva

Works Cited by This (11)

Action	Title	Year	Authors
+ PDF Chat	Normal approximation for nonlinear statistics using a concentration inequality approach	2007	Louis H. Y. Chen Qi-Man Shao
+	The central limit theorem for dependent random variables	1948	Wassily Hoeffding Herbert Robbins
+	Addendum: A Comparison Method for Distribution Functions of Sums of Independent and Dependent Random Variables	1970	H. Bergström
+ PDF Chat	Normal approximation under local dependence	2004	Louis H. Y. Chen Qi-Man Shao
+	A central limit theorem for m-dependent random variables	1958	Steven Orey
+ PDF Chat	Normal approximation for random sums	2006	A. D. Barbour Aihua Xia
+ PDF Chat	On adding a list of numbers (and other one-dependent determinantal processes)	2010	Alexei Borodin Persi Diaconis Jason Fulman
+ PDF Chat	A central limit theorem for randomly indexed m-dependent random variables	2012	Yilun Shang
+	Normal Approximation by Stein’s Method	2010	Louis H. Y. Chen Larry Goldstein Qi-Man Shao
+	A Course in Large Sample Theory	1996	Thomas S. Ferguson