Cosmic statistics of statistics
نویسندگان
چکیده
منابع مشابه
Cosmic Statistics of Statistics
The errors on statistics measured in finite galaxy catalogs are exhaustively investigated. The theory of errors on factorial moments by Szapudi & Colombi (1996) is applied to cumulants via a series expansion method. All results are subsequently extended to the weakly non-linear regime. Together with previous investigations this yields an analytic theory of the errors for moments and connected m...
متن کامل0 Cosmic Statistics of Statistics : N - point Correlations
The fully general calculation of the cosmic error on N-point correlation functions and related quantities is presented. More precisely, the variance caused by the finite volume, discreteness, and edge effects is determined for any estimator which is based on a general function of N-tuples, such as multi-point correlation functions and multi-spectra. The results are printed explicitly for the tw...
متن کاملExperimental Cosmic Statistics I : Variance
Counts-in-cells are measured in the τCDM Virgo Hubble Volume simulation. This large N -body experiment has 10 particles in a cubic box of size 2000 h Mpc. The unprecedented combination of size and resolution allows for the first time a realistic numerical analysis of the cosmic errors and cosmic correlations of statistics related to counts-in-cells measurements, such as the probability distribu...
متن کاملExperimental Cosmic Statistics II : Distribution
Colombi et al. 1999 (paper I) investigated the counts-in-cells statistics and their respective errors in the τCDM Virgo Hubble Volume simulation. This extremely large N -body experiment also allows a numerical investigation of the cosmic distribution function, Υ(Ã) itself for the first time. For a statistic A, Υ(Ã) is the probability density of measuring the value à in a finite galaxy catalog. ...
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چکیده: فرض کنید که تابعی از اپسیلون یک مجموع نامتناهی از احتمالات موزون مربوط به مجموع های جزئی براساس یک دنباله از متغیرهای تصادفی مستقل و همتوزیع باشد، و همچنین فرض کنید توابعی مانند g و h وجود دارند که هرگاه امید ریاضی توان دوم x متناهی و امیدریاضی x صفر باشد، در این صورت می توان حد حاصلضرب این توابع را بصورت تابعی از امید ریاضی توان دوم x نوشت. حالت عکس نیز برقرار است. همچنین ما با استفاده...
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ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 1999
ISSN: 0035-8711,1365-2966
DOI: 10.1046/j.1365-8711.1999.02952.x