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Random Databases with Correlated Data

  • Gyula O. H. Katona
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7260)

Abstract

A model of random databases is given, with arbitrary correlations among the data of one individual. This is given by a joint distribution function. The individuals are chosen independently, their number m is considered to be (approximately) known. The probability of the event that a given functional dependency A → b holds (A is a set of attributes, b is an attribute) is determined in a limiting sense. This probability is small if m is much larger than \(2^{H_2(A\rightarrow b)/2}\) and is large if m is much smaller than \(2^{H_2(A\rightarrow b)/2}\) where H 2(A → b) is an entropy like functional of the probability distribution of the data.

Keywords

Random Vector Functional Dependency Statistical Dependence Correlate Data Apply Probability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Gyula O. H. Katona
    • 1
  1. 1.Rényi InstituteBudapestHungary

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