Central Limit Theorem for Parking Models on the Line and Plane

Abstract

Asymptotic second moments for various sequential square packing models in the plane including alternating size squares, random size squares, and squares packed on an abacus grid are given or indicated for the Renyi and Solomon models. Preliminary corresponding results are given for the line. A central limit theorem follows for each model on the line and plane by computation of higher moments.

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Document Details

Document Type
Technical Report
Publication Date
Dec 14, 1979
Accession Number
ADA081681

Entities

People

  • Howard J. Weiner

Organizations

  • Stanford University

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  • Air Platforms
  • Materials and Manufacturing Processes

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  • Abstracts
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  • California
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  • Integral Equations
  • Mathematical Analysis
  • Military Research
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  • United States
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Fields of Study

  • Mathematics

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  • Graph Algorithms and Convex Optimization.
  • Mathematical Modeling and Probability Theory.