Article ID Journal Published Year Pages File Type
10525877 Statistics & Probability Letters 2005 8 Pages PDF
Abstract
This paper studies the asymptotic behaviour of the unconditional quantile estimator for dependent random variables. Our proof is based on results from convex stochastic optimization and a mixing process which is specific to quantile estimation and requires only a small part of the σ-algebra generated by the random variable under consideration. The joint asymptotic distribution of several quantiles is given.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Statistics and Probability
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