| Автор | Keating, Jerome P. |
| Автор | Mason, Robert L. |
| Дата выпуска | 1988 |
| dc.description | In this article we consider a town in which the thoroughfares are laid out in a rectangular grid. Using the l<sub>1</sub> metric, we determine the Dirichlet regions for competitive convenience stores. Under the assumption of normality, we exemplify a technique for calculating the probability of the Dirichlet region associated with each convenience store. This method is generalized to the case where intersecting thoroughfares are oblique. Finally the example is used to illustrate the calculation of posterior Pitman's measure of closeness for various Bayesian estimators. |
| Формат | application.pdf |
| Издатель | Marcel Dekker, Inc. |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Pitman's measure of closeness |
| Тема | Bayesian estimators |
| Тема | Dirichlet Regions |
| Название | Preference regions and their probabilities based on a rectangular grid |
| Тип | research-article |
| DOI | 10.1080/03610928808829726 |
| Electronic ISSN | 1532-415X |
| Print ISSN | 0361-0926 |
| Журнал | Communications in Statistics - Theory and Methods |
| Том | 17 |
| Первая страница | 1973 |
| Последняя страница | 1983 |
| Аффилиация | Keating, Jerome P.; Division of Mathematics, The University of Texas at Sae Antonio |
| Аффилиация | Mason, Robert L.; Fuels and Lubricants Division, Southwest Research Institute |
| Выпуск | 6 |
| Библиографическая ссылка | Busemann, H. 1941. On Leibnitz's Definition of Planes. American Journal of Mathematics, 63: 101–111. |
| Библиографическая ссылка | Farebrother, R.W. 1986. Pitman's Measure of Closeness. The American Statistician, 40: 179–180. |
| Библиографическая ссылка | Keating, J.P. and Mason, R.L. 1985. Practical Relevance of an Alternative Criterion in Estimation. The American Statistician, 39: 203–205. |
| Библиографическая ссылка | Keating, J.P. and Mason, R.L. 1986. Reply to "Pitman's Measure of Closeness. The American Statistician, 40: 180–181. |
| Библиографическая ссылка | Owen, D.B. 1956. Tables for Computing Bivariate Normal Probabilities. Annals of Mathematical Statistics, 27: 1075–1090. |
| Библиографическая ссылка | Pitman, E.J.G. 1937. The Closest Estimates of Statistical Parameters. Proceedings of the Cambridge Philosophical Society, 33: 212–222. |
| Библиографическая ссылка | Shreider, Y.A. 1974. What is Distance, Chicago: The University of Chicago Press. |
