The Role of Bose-Einstein Statistics in Point Pattern Analysis
| Autor: | D. E. Reeve, R. W. Thomas |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Condensed Matter::Quantum Gases
Inverse-chi-squared distribution Geography Planning and Development Point pattern analysis Measure (mathematics) symbols.namesake Redundancy (information theory) Bose–Einstein statistics Statistics Categorical distribution symbols Probability distribution Statistical physics Randomness Earth-Surface Processes Mathematics |
| Zdroj: | Geographical Analysis. 8:113-136 |
| ISSN: | 0016-7363 |
| DOI: | 10.1111/j.1538-4632.1976.tb01063.x |
| Popis: | Bose-Einstein statistics are introduced as the least-biased definition of equal likelihood or randomness available to geographers studying point patterns. The Bose-Einstein distribution is shown to be an entropy-maximizing probability distribution which enables the information theoretic concept of redundancy to be used as a measure of the extent to which an unknown spatial process influences the evolution of the frequency distribution of points. Finally the method is applied to the frequency distribution of karst depressions in limestone regions and the distributions of factories in Greater Manchester. |
| Databáze: | OpenAIRE |
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