## AstrostatisticsModern 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. |

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### Contents

Overview of astronomy | 11 |

The character of astronomical data | 37 |

Resampling methods | 93 |

Spatial statistics | 105 |

Linear regression | 119 |

Multivariate classification and analysis | 129 |

Time series analysis | 149 |

Censoring and truncation | 167 |

Some astronomical controversies | 183 |

197 | |

217 | |

### Common terms and phrases

accretion active galactic nuclei algorithms applied astronomical astrophysical astrostatistics Babu binary bootstrap brightness catalog censoring classification coefficients complex computed confidence intervals correlation cosmology covariance data points dataset denote density detector developed diagram discussed disk distance distribution function emission estimator Feigelson Figure Fourier frequency galactic galaxy clustering gamma-ray Gaussian globular clusters gravitational groups heteroscedastic infrared interstellar medium known least squares linear regression luminosity main sequence mathematical maximum likelihood measurement errors median multivariate neutron stars noise nonparametric normal null hypothesis objects observations optical orbit packages parameters period periodogram photons plots population mean power spectrum principal components probability problems procedure projection pursuit properties quasars radio random redshift regions Reproduced with permission resampling sample solar space spatial spectra spiral standard stellar stellar evolution structure supernova techniques telescopes tion truncation values variables variance velocity wavelengths wavelet X-ray zero