Introduction to Stellar Statistics

Introduction to Stellar Statistics

International Series of Monographs in Natural Philosophy

1st Edition - January 1, 1967

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  • Author: Rudolf Kurth
  • eBook ISBN: 9781483184951

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Introduction to Stellar Statistics discusses the fundamental concepts that are essential in utilizing statistical methods in quantifying the variables present in celestial bodies. The title emphasizes detailing a conceptual system that aids in the organization of collected data. The text first introduces stellar statistics, and then proceeds to covering the observational data and the elements. Next, the selection talks about the apparent distribution of the stars and galaxies. Chapter V tackles kinematics, while Chapter VI covers stellar distances. In the last chapter, the text presents the integral equation of stellar statistics. The book will be of great interest to scientists involved in the study of celestial bodies, such astronomers and astrophysicists.

Table of Contents

  • Preface

    List of Plates

    Chapter I. Introduction

    1. A Qualitative Survey

    Chapter II. The Observational Data

    2. The Direction of the Star Light

    3. The Quality of the Star Light

    4. The Quantity of the Star Light: Photometry

    5. The Quantity of the Star Light: Colorimetry

    Chapter III. Elements of Statistics

    6. The Concept of Probability

    7. Statistical Independence

    8. Expectation Values

    9. Some Probability Distributions

    10. The Fourier Transform

    11. Statistical Applications of the Fourier Transform

    12. Further Probability Distributions

    13. Estimation

    14. Testing Hypotheses

    15. Confidence Regions

    16. Regression

    Chapter IV. The Apparent Distribution of the Stars and Galaxies

    17. The Galactic Plane

    18. The Apparent Distribution of the Stars

    19. The Apparent Distribution of the Star Clusters

    20. The Apparent Distribution of the Galaxies

    Chapter V. Kinematics

    21. The Solar Motion Estimated from Radial Velocities

    22. The Solar Motion Estimated from Proper Motions

    23. The Mean Motion of the Stars: Galactic Rotation

    24. The Mean Motion of the Galaxies: the Red-shift

    25. The Distribution of the Stellar Velocities in the Vicinity of the Sun

    Chapter VI. Stellar Distances

    26. Primary Methods of Estimating Stellar Distances

    27. Colour-magnitude Diagrams

    28. Secondary Methods of Estimating Stellar Distances

    29. Tertiary Methods of Estimating Stellar Distances

    Chapter VII. Integral Equations of Stellar Statistics

    30. The Basic Integral Equations

    31. Solving the Integral Equations

    32. The Moments of the Solutions of the Integral Equations

    33. Approximation in the Mean

    34. The Convolution Equation: Miscellanea

    35. Conditional Means

    36. Spherically Symmetrical Star Clusters

    Appendix I. Some Research Problems

    Appendix II. Quadratic Forms on the Unit Sphere

    Appendix III. Some Recent Work on the Distribution of Stellar Velocities



    Other Titles in the Series

Product details

  • No. of pages: 184
  • Language: English
  • Copyright: © Pergamon 1967
  • Published: January 1, 1967
  • Imprint: Pergamon
  • eBook ISBN: 9781483184951

About the Author

Rudolf Kurth

About the Editor

D. ter Haar

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