Author: Helga Stoyan

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AUTHOR

Helga Stoyan

showing 11 related works from this author

Statistics in Practice

2008

GeographyStatisticsStatistics education

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The Homogeneous Poisson Point Process

2008

symbols.namesakeComplete spatial randomnessUniqueness theorem for Poisson's equationCompound Poisson processMathematical analysisDiscrete Poisson equationHomogeneous poisson point processsymbolsFractional Poisson processMathematics

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Comparing estimators of the galaxy correlation function

1999

We present a systematic comparison of some usual estimators of the 2--point correlation function, some of them currently used in Cosmology, others extensively employed in the field of the statistical analysis of point processes. At small scales, it is known that the correlation function follows reasonably well a power--law expression $\xi(r) \propto r^{-\gamma}$. The accurate determination of the exponent $\gamma$ (the order of the pole) depends on the estimator used for $\xi(r)$; on the other hand, its behavior at large scale gives information on a possible trend to homogeneity. We study the concept, the possible bias, the dependence on random samples and the errors of each estimator. Erro…

PhysicsHomogeneity (statistics)Astrophysics (astro-ph)Order (ring theory)EstimatorFOS: Physical sciencesAstronomy and AstrophysicsScale (descriptive set theory)AstrophysicsCorrelation function (astronomy)AstrophysicsGalaxyPoint processSpace and Planetary ScienceExponentStatistical physics

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