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Random forests

Author: Yu L Pavlov
Publisher: Utrecht ; Boston : VSP, 2000.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This monograph deals with random forests and aims to show that, despite the outward simplicity of the forest graph design, the problems emerging in relation to the phenomenon are challenging, and  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Yu L Pavlov
ISBN: 9067643149 9789067643146
OCLC Number: 44850152
Description: 122 pages : illustrations ; 26 cm
Contents: CHAPTER 1. PROBABILISTIC METHODS IN STUDYING TREES AND FORESTS 1. Trees and forests 2. Random forests and generalized allocation scheme 3. Random forests and branching processes 4. Simply generated forests 5. Additions and references CHAPTER 2. THE MAXIMUM SIZE OF A TREE IN A RANDOM FOREST 1. Problem statement and summary of results 2. Asymptotics of NP 3. The limit behaviour of the total progeny of the branching process 4. The convergence of the sum of auxiliary random variables to the normal law 5. The convergence of the sum of auxiliary random variables in the critical case 6. Proofs of the main results 7. Additions and references CHAPTER 3. LIMIT DISTRIBUTIONS OF THE NUMBER OF TREES OF A GIVEN SIZE 1. Problem statement and summary of results 2. The convergence of the sum of auxiliary random variables to the normal law 3. The limit behaviour of the sum of auxiliary random variables in the critical case 4. Proofs and main results 5. Additions and references CHAPTER 4. LIMIT DISTRIBUTIONS OF THE HEIGHT OF A RANDOM FOREST 1. Problem statement and summary of results 2. The limit behaviour of auxiliary probabilities in the subcritical case 3. The limit behaviour of auxiliary probabilities in the critical case 4. Proofs and main results 5. Additions and references.
Responsibility: Yu. L. Pavlov.

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