# Strong approximation for set-indexed partial sum processes via KMT constructions III

ESAIM: Probability and Statistics (2010)

- Volume: 1, page 319-338
- ISSN: 1292-8100

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topRio, E.. "Strong approximation for set-indexed partial sum processes via KMT constructions III." ESAIM: Probability and Statistics 1 (2010): 319-338. <http://eudml.org/doc/197775>.

@article{Rio2010,

abstract = {
We generalize the results of Komlós, Major and Tusnády concerning
the strong approximation of partial sums of independent and
identically distributed random variables with a finite r-th moment
to the case when the parameter set is two-dimensional. The most
striking result is that the rates of convergence are exactly the
same as in the one-dimensional case.
},

author = {Rio, E.},

journal = {ESAIM: Probability and Statistics},

keywords = {Set-indexed partial-sum process /
functional central limit theorem / invariance principle /
strong approximation.},

language = {eng},

month = {3},

pages = {319-338},

publisher = {EDP Sciences},

title = {Strong approximation for set-indexed partial sum processes via KMT constructions III},

url = {http://eudml.org/doc/197775},

volume = {1},

year = {2010},

}

TY - JOUR

AU - Rio, E.

TI - Strong approximation for set-indexed partial sum processes via KMT constructions III

JO - ESAIM: Probability and Statistics

DA - 2010/3//

PB - EDP Sciences

VL - 1

SP - 319

EP - 338

AB -
We generalize the results of Komlós, Major and Tusnády concerning
the strong approximation of partial sums of independent and
identically distributed random variables with a finite r-th moment
to the case when the parameter set is two-dimensional. The most
striking result is that the rates of convergence are exactly the
same as in the one-dimensional case.

LA - eng

KW - Set-indexed partial-sum process /
functional central limit theorem / invariance principle /
strong approximation.

UR - http://eudml.org/doc/197775

ER -

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