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Some more results on increments of the partially observed empirical process

✍ Scribed by Zacharie Dindar

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
271 KB
Volume
64
Category
Article
ISSN
0167-7152

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✦ Synopsis

The author studies the almost sure behaviour of the increments of the partially observed empirical process and derives some functional laws of the iterated logarithm for this process. Application to nonparametric density estimation is presented.

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✍ Sangyeol Lee πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 529 KB

Suppose that Xt = }-~,:0 ai~,t-i is a linear process, where {ag} is a sequence of absolutely summable real numbers and {~,} is a sequence of iid random variables with zero mean and finite variance. In this paper, motivated by Gaussian tests of {Xt }, we investigate the asymptotic behavior of the emp