The asymptotic distribution of the unconditional quantile estimator under dependence

Oberhofer W, Haupt H (2005)
Statistics & Probability Letters 73(3): 243-250.

Journal Article | Published | English

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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 [sigma]-algebra generated by the random variable under consideration. The joint asymptotic distribution of several quantiles is given.
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Oberhofer W, Haupt H. The asymptotic distribution of the unconditional quantile estimator under dependence. Statistics & Probability Letters. 2005;73(3):243-250.
Oberhofer, W., & Haupt, H. (2005). The asymptotic distribution of the unconditional quantile estimator under dependence. Statistics & Probability Letters, 73(3), 243-250.
Oberhofer, W., and Haupt, H. (2005). The asymptotic distribution of the unconditional quantile estimator under dependence. Statistics & Probability Letters 73, 243-250.
Oberhofer, W., & Haupt, H., 2005. The asymptotic distribution of the unconditional quantile estimator under dependence. Statistics & Probability Letters, 73(3), p 243-250.
W. Oberhofer and H. Haupt, “The asymptotic distribution of the unconditional quantile estimator under dependence”, Statistics & Probability Letters, vol. 73, 2005, pp. 243-250.
Oberhofer, W., Haupt, H.: The asymptotic distribution of the unconditional quantile estimator under dependence. Statistics & Probability Letters. 73, 243-250 (2005).
Oberhofer, Walter, and Haupt, Harry. “The asymptotic distribution of the unconditional quantile estimator under dependence”. Statistics & Probability Letters 73.3 (2005): 243-250.
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