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    978-0-412-98391-7
    July 31st 1996

Description

Modern astronomers encounter a vast range of challenging statistical problems, yet few are familiar with the wealth of techniques developed by statisticians. Conversely, few statisticians deal with the compelling problems confronted in astronomy.

Astrostatistics bridges this gap. Authored by a statistician-astronomer team, it provides professionals and advanced students in both fields with exposure to issues of mutual interest. In the first half of the book the authors introduce statisticians to stellar, galactic, and cosmological astronomy and discuss the complex character of astronomical data. For astronomers, they introduce the statistical principles of nonparametrics, multivariate analysis, time series analysis, density estimation, and resampling methods.

The second half of the book is organized by statistical topic. Each chapter contains examples of problems encountered astronomical research and highlights methodological issues. The final chapter explores some controversial issues in astronomy that have a strong statistical component. The authors provide an extensive bibliography and references to software for implementing statistical methods.

The "marriage" of astronomy and statistics is a natural one and benefits both disciplines. Astronomers need the tools and methods of statistics to interpret the vast amount of data they generate, and the issues related to astronomical data pose intriguing challenges for statisticians. Astrostatistics paves the way to improved statistical analysis of astronomical data and provides a common ground for future collaboration between the two fields.

Contents

INTRODUCTION

Statistics in Greek and Renaissance Astronomy

Celestial Mechanics and the Rise of Mathematical Statistics

Contemporary Links Between Astronomy and Statistics

Statistical Consulting and Software

OVERVIEW OF ASTRONOMY

Units, Nomenclature, Catalogs, and Telescopes

Stars

The Galaxy

Extragalactic Astronomy and Cosmology

THE CHARACTER OF ASTRONOMICAL DATA

Types of Astronomical Data

Astronomical Measurement Errors

Summary

OVERVIEW OF STATISTICS

Exploratory Data Analysis

Probability Distributions

Estimation

Hypothesis Testing

Nonparametric Tests

Multivariate Analysis

Time Series Analysis

Spatial Statistics

Wavelets

Density Estimation

Sampling Designs

RESAMPLING METHODS

Description of the Bootstrap Method

Some Simple Applications

Estimating the Sampling Distribution

Bootstrap Confidence Intervals

Bootstrap for Regression Models

Summary

SPATIAL STATISTICS

Recent Astronomical Problems

Spatial Distribution of Galaxies

Sources in Photon-Counting Detectors

Gamma-Ray Burst Distributions

Summary

LINEAR REGRESSION

Introduction

Recent Examples from the Astronomical Literature

Unweighted Least Squares Lines

Error-in-Variables Models

Summary

MULTIVARIATE CLASSIFICATION AND ANALYSIS

Some Multivariate Problems in Astronomy

Applications of Multivariate Methods

Some New Methods

Multivariate Classification

Multivariate Statistical Software

Summary

TIME SERIES ANALYSIS

Variable Phenomena in Astronomy

Examples of Astronomical Time Series

Periodicities in Irregularly-Space Observations

Computer Software

Summary

CENSORING AND TRUNCATION

Recent Research Problems

Statistics for Censored Data

Statistical Methods for Truncated Data

Software

Summary

SOME ASTRONOMICAL CONTROVERSIES

Tifft's Quantized Redshifts

Arp's Quasar Alignments

Segal's Chronometric Cosmology

Gott's Longevity of Civilizations

REFERENCES

INDEX

Name: Astrostatistics (Hardback)Chapman and Hall/CRC 
Description: By Gutti Jogesh Babu, E.D. FeigelsonSeries Editor: Byron J.T. Morgan, Niels Keiding, Peter Van der Heijden. Modern astronomers encounter a vast range of challenging statistical problems, yet few are familiar with the wealth of techniques developed by statisticians. Conversely, few statisticians deal with the compelling problems confronted in astronomy...
Categories: Mathematics & Statistics for Engineers, Applied Physics