When does a randomly weighted self-normalized sum converge in distribution?
Mason, David M., Zinn, Joel (2005)
Electronic Communications in Probability [electronic only]
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Mason, David M., Zinn, Joel (2005)
Electronic Communications in Probability [electronic only]
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Brockett, Patrick L. (1978)
International Journal of Mathematics and Mathematical Sciences
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I. Kotlarski (1962)
Colloquium Mathematicae
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Zhang, Hu-Ming, Taylor, Robert L. (1995)
International Journal of Mathematics and Mathematical Sciences
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Nadarajah, Saralees (2005)
Journal of Applied Mathematics
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Nadarajah, Saralees, Gupta, Arjun K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Nadine Guillotin-Plantard, Clémentine Prieur (2010)
ESAIM: Probability and Statistics
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We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to dependent random variables sampled by a -valued transient random walk. This extends the results obtained by [N. Guillotin-Plantard and D. Schneider, (2003) 477–497]. An application to parametric estimation by random sampling is also provided.
Rahimov, I., Muttlak, H. (2004)
International Journal of Mathematics and Mathematical Sciences
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Bosetto, Elena (1999)
Beiträge zur Algebra und Geometrie
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Sung, Soo Hak (2010)
Journal of Inequalities and Applications [electronic only]
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