Open Access
2007 LIMITING BEHAVIORS OF WEIGHTED SUMS FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES
Mi-Hwa Ko, Dae-Hee Ryu, Tae-Sung Kim
Taiwanese J. Math. 11(2): 511-522 (2007). DOI: 10.11650/twjm/1500404705

Abstract

In this paper the strong convergence for weighted sums of linearly negative quadrant dependent(LNQD) arrays is discussed. The central limit theorem for weighted sums of LNQD variables and linear process based on LNQD variables is also considered. Finally the results on i.i.d. of Li et al. ([7]) in LNQD setting are obtained.

Citation

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Mi-Hwa Ko. Dae-Hee Ryu. Tae-Sung Kim. "LIMITING BEHAVIORS OF WEIGHTED SUMS FOR LINEARLY NEGATIVE QUADRANT DEPENDENT RANDOM VARIABLES." Taiwanese J. Math. 11 (2) 511 - 522, 2007. https://doi.org/10.11650/twjm/1500404705

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1126.60026
MathSciNet: MR2333362
Digital Object Identifier: 10.11650/twjm/1500404705

Subjects:
Primary: 60F15

Keywords: central limit theorem , Cesàro law of large numbers , Linearly negative quadrant dependent random variable , strong convergence , weighted sum

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 2 • 2007
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