A Law of Large Numbers and Central Limit Theorem for the Leaves in a Random Graph Model

Wimmer, Maximilian (2006) A Law of Large Numbers and Central Limit Theorem for the Leaves in a Random Graph Model. Masters, Iowa State University.

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Other URL: http://orion.math.iastate.edu/dept/thesisarchive/MSCC/WimmerMSSS06.pdf

Abstract

We are calculating the expectation and variance of the number of leaves in the scale-free network model suggested in [CL06]. Afterwards, we prove a Law of Large Numbers and a Central Limit Theorem for the number of leaves using the Martingale Central Limit Theorem. Finally, we check our results by simulation.

Item Type:Thesis (Masters)
Referee:Prof. Sunder Sethuraman and Prof. Wolfgang Kliemann and Prof. Michael Smiley
Date of exam:06 July 2006
Institutions: Business, Economics and Information Systems > Institut für Betriebswirtschaftslehre > Lehrstuhl für Finanzierung (Prof. Dr. Gregor Dorfleitner)
Classification:
NotationType
05C80MSC
60G42MSC
Subjects:500 Science > 510 Mathematics
Status:Unknown
Refereed:Unknown
Created at the University of Regensburg:No
Owner:Dr. Maximilian Wimmer
Deposited On:06 Apr 2010 13:58
Last Modified:12 Sep 2012 08:42
Item ID:14049
Owner Only: item control page