# Pairwise Independence and Derandomization

### Michael Luby and Avi Wigderson

###
EECS Department

University of California, Berkeley

Technical Report No. UCB/CSD-95-880

July 1995

### http://www.eecs.berkeley.edu/Pubs/TechRpts/1995/CSD-95-880.pdf

This set of notes gives several applications of the following paradigm. The paradigm consists of two complementary parts. The first part is to design a probabilistic algorithm described by a sequence of random variables so that the analysis is valid assuming limited independence between the random variables. The second part is the design of a small probability space for the random variables such that they are somewhat independent of each other. Thus, the analysis of the algorithm holds even when the random variables used by the algorithm are generated according to the small space.

BibTeX citation:

@techreport{Luby:CSD-95-880, Author = {Luby, Michael and Wigderson, Avi}, Title = {Pairwise Independence and Derandomization}, Institution = {EECS Department, University of California, Berkeley}, Year = {1995}, Month = {Jul}, URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/1995/5484.html}, Number = {UCB/CSD-95-880}, Abstract = {This set of notes gives several applications of the following paradigm. The paradigm consists of two complementary parts. The first part is to design a probabilistic algorithm described by a sequence of random variables so that the analysis is valid assuming limited independence between the random variables. The second part is the design of a small probability space for the random variables such that they are somewhat independent of each other. Thus, the analysis of the algorithm holds even when the random variables used by the algorithm are generated according to the small space.} }

EndNote citation:

%0 Report %A Luby, Michael %A Wigderson, Avi %T Pairwise Independence and Derandomization %I EECS Department, University of California, Berkeley %D 1995 %@ UCB/CSD-95-880 %U http://www.eecs.berkeley.edu/Pubs/TechRpts/1995/5484.html %F Luby:CSD-95-880