Random Databases with Correlated Data

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


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.


Random Vector Functional Dependency Statistical Dependence Correlate Data Apply Probability 
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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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