The effect of grid size on street location time in maps

Stilitz, Ivor; Yitzhaky, Jacob

doi:10.1016/0003-6870(79)90216-3

Cited by 2 publications

(1 citation statement)

References 2 publications

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“…However, it can be easily applied if the search area has a rectangular shape. There are many studies in the literature about the optimal grid size for calculating numerical integration [19,20,21,22]. Since this study is based on statistical distributions, it is necessary to investigate whether the error is signi…cant or not.…”

Section: Triangulation Of the Search Areamentioning

confidence: 99%

Confidence regions for bivariate probability density functions using polygonal areas

Kesemen¹,

Özkul²,

Ünsal³

2020

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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In this study, a polygonal approach is suggested to generalize the notion of the con…dence region of the univariate probability density function for the bivariate probability density function. The equal density approach is used to demonstrate that con…dence regions can be polygonal shapes. The bisection method is the preferred method in …nding the equal density value that reveals the desired con…dence coe¢ cient. Con…dence regions estimate not only bivariate unimodal probability functions but also bivariate multimodal probability functions. An approach is enhanced to estimate these con…dence regions for probability density functions which are de…ned as rectangular, polygonal and in…nite expanse areas. In order to show the applicable of the proposed method, four di¤erent examples are analyzed. The results show that the con…dence region is found no matter how complex the distribution function. In addition, the proposed method gives more e¢ cient results for multimodal probability density functions.

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Section: Triangulation Of the Search Areamentioning

confidence: 99%