Generating functionology
Asymptotic behavior of the Lempel-Ziv parsing scheme and digital search trees
Theoretical Computer Science - Special volume on mathematical analysis of algorithms (dedicated to D. E. Knuth)
Analysis of algorithms: computational methods and mathematical tools
Analysis of algorithms: computational methods and mathematical tools
Log-concavity and related properties of the cycle index polynomials
Journal of Combinatorial Theory Series A
Asymptotic enumeration methods
Handbook of combinatorics (vol. 2)
Analysis of rerouting in circuit-switched networks
IEEE/ACM Transactions on Networking (TON)
Average Case Analysis of Algorithms on Sequences
Average Case Analysis of Algorithms on Sequences
The Binomial Transform and its Application to the Analysis of Skip Lists
ESA '95 Proceedings of the Third Annual European Symposium on Algorithms
General urn models with several types of balls and Gaussian limiting fields
Random Structures & Algorithms
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Boltzmann Samplers for the Random Generation of Combinatorial Structures
Combinatorics, Probability and Computing
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In this paper, we present several probabilistic transforms related to classical urn models. These transforms render the dependent random variables describing the urn occupancies into independent random variables with appropriate distributions. This simplifies the analysis of a large number of problems for which a function under investigation depends on the urn occupancies. The approach used for constructing the transforms involves generating functions of combinatorial numbers characterizing the urn distributions. We also show, by using Tauberian theorems derived in this paper, that under certain simple conditions the asymptotic expressions of target functions in the transform domain and in the inverse–transform domain are identical. Therefore, asymptotic information about certain statistics can be obtained without evaluating the inverse transform.