Technical Report CS0789

TR#:CS0789
Class:CS
Title: LOWER BOUNDS FOR SAMPLING ALGORITHMS FOR ESTIMATING THE AVERAGE.
Authors: R. Canetti, G. Even and O. Goldreich
PDFCS0789.pdf
Abstract:

We show lower bounds on the number of sample points and on the number of coin tosses used by general sampling algorithms for estimating the average value of functions over a large domain. The bounds depend on the desired precision and on the error probability of the estimate. Our lower bounds match upper bounds established by known algorithms, up to a multiplicative constant. Furthermore, we give a non-constructive proof of existence of an algorithm that improves the known upper bounds by a constant factor.

CopyrightThe above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information

Remark: Any link to this technical report should be to this page (http://www.cs.technion.ac.il/users/wwwb/cgi-bin/tr-info.cgi/1993/CS/CS0789), rather than to the URL of the PDF files directly. The latter URLs may change without notice.

To the list of the CS technical reports of 1993
To the main CS technical reports page

Computer science department, Technion
admin