Statistics of the galaxy distribution

Vicent J. Martinez, Enn Saar

Over the last decade, statisticians have developed new statistical tools in the field of spatial point processes. At the same time, observational efforts have yielded a huge amount of new cosmological data to analyze. Although the main tools in astronomy for comparing theoretical results with observation are statistical, in recent years, cosmologists have not been generally aware of the developments in statistics and vice versa. Statistics of the Galaxy Distribution describes both the available observational data on the distribution of galaxies and the applications of spatial statistics in cosmology. It gives a detailed derivation of the statistical methods used to study the galaxy distribution and the cosmological physics needed to formulate the statistical models. Because the prevalent approach in cosmological statistics has been frequentist, the authors focus on the most widely used of these methods, but they also explore Bayesian techniques that have become popular in large-scale structure studies. Describing the most popular methods, their latest applications, and the necessary mathematical and astrophysical background, this groundbreaking book presents the state of the art in the statistical description of the large-scale structure of the Universe. Cosmology's well-defined and growing data sets represent an important challenge for the statistical analysis, and therefore for the statistics community. Statistics of the Galaxy Distribution presents a unique opportunity for researchers in both fields to strengthen the connection between them and, using a common language, explore the statistical description of the universe.

「Nielsen BookData」より

[目次]

  • THE CLUMPY UNIVERSE Galaxies Mapping the Universe Selection Effects and Biases Current and Future Galaxy Catalogs The Observed Structures: Clusters, Filaments, Walls and Voids THE STANDARD MODEL OF THE UNIVERSE Introduction The Friedmann-Robertson-Walker Universe Basic Observational Data COSMOLOGICAL POINT PROCESSES Introduction Point Processes The Relation Between Discrete and Continuous Distributions The Two-Point Correlation Function N-Point Correlation Functions Moments and Counts in Cells The Void Probability Function Nearest Neighbor Distances Galaxy Distribution as a Marked Point Field FRACTAL PROPERTIES OF THE GALAXY DISTRIBUTION Introduction Fractal Models for the Universe Tests on Projected Data Fractal Dimensions Multifractal Measures Multiscaling Lacunarity STATISTICAL AND GEOMETRICAL MODELS Introduction The Neyman-Scott Process and Related Models The Voronoi Model Statistical Models for the Counts in Cells FORMATION OF STRUCTURE Introduction Dynamics of Structure The Linear Approximation Exact Solutions Numerical Experiments RANDOM FIELDS IN COSMOLOGY Introduction Random Fields Gaussian Random Fields Realizations of Random Fields Non-Gaussian Fields Statistics of Peaks in Gaussian Random Fields Press-Schecter Method Halo Model of Galaxy Clustering Stochastic and Nonlinear Biasing FOURIER ANALYSIS OF CLUSTERING Introduction Estimation of Power Spectra Redshift Distortions Velocity Distortions in Power Spectrum Methods for Estimating Power Spectra Bispectrum Low-Dimensional Samples COSMOGRAPHY Introduction Potent Recipe Wiener Filtering Constrained Fields Time Machines Gravitational Lensing STRUCTURE STATISTICS Introduction Topological Description Structure Functions Cluster and Percolation Analysis Minimal Spanning Trees Wavelets Cluster Finding Algorithms Void Statistics Checking for Periodicity APPENDICES Coordinate Transformations Some Basic Concepts in Statistics REFERENCES WEB SITE REFERENCES INDEX

「Nielsen BookData」より

この本の情報

書名 Statistics of the galaxy distribution
著作者等 Martinez, V. J.
Martinez Vicent J.
Saar Enn
出版元 Chapman & Hall/CRC
刊行年月 c2002
ページ数 432 p.
大きさ 25 cm
ISBN 1584880848
NCID BA56551330
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想