Strong laws for weighted sums of NA random variables

Guanghui Cai

Type: Article

Publication Date: 2007-12-03

Citations: 31

DOI: https://doi.org/10.1007/s00184-007-0160-5

Abstract

Strong laws are established for linear statistics that are weighted sums of an negatively associated (NA) random sample. The results obtained not only generalize the results of Sung (Stat. Probab. Lett. 52:413–419, 2001) to NA random variables, but also extend and sharpen them.

Locations

Metrika - View - PDF

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Works Cited by This (10)

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+	None	2000	Qi-Man Shao
+ PDF Chat	Negative Association of Random Variables with Applications	1983	Kumar Joag‐Dev Frank Proschan
+ PDF Chat	Probability Theory: Independence, Interchangeability, Martingales	1998	Robert Lund Y. S. Chow Henry Teicher
+	On the strong convergence of a weighted sum	1999	Wei Biao Wu
+ PDF Chat	On a Theorem of Hsu and Robbins	1949	Péter L. Erdős
+	Marcinkiewicz strong laws for linear statistics	2000	Zhidong Bai Philip E. Cheng
+	Strong laws for weighted sums of i.i.d. random variables	2001	Soo Hak Sung
+	Limit Theorems of Probability Theory: Sequences of Independent Random Variables.	1996	Vygantas Paulauskas V. V. Petrov
+ PDF Chat	Complete Convergence and the Law of Large Numbers	1947	P. L. Hsu Herbert Robbins
+	A strong law for weighted sums of i.i.d. random variables	1995	Jack Cuzick