E-Book, Englisch, 184 Seiten, Web PDF
Kurth / Ter Haar Introduction to Stellar Statistics
1. Auflage 2013
ISBN: 978-1-4831-8495-1
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
International Series of Monographs in Natural Philosophy
E-Book, Englisch, 184 Seiten, Web PDF
ISBN: 978-1-4831-8495-1
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Introduction to Stellar Statistics;4
3;Copyright Page;5
4;Table of Contents;6
5;PREFACE;8
6;LIST OF PLATES;9
7;CHAPTER I. INTRODUCTION;10
7.1;1. A Qualitative Survey;10
8;CHAPTER II. THE OBSERVATIONAL DATA;16
8.1;2. The Direction of the Star Light;16
8.2;3. The Quality of the Star Light;24
8.3;4. The Quantity of the Star Light: Photometry;26
8.4;5. The Quantity of the Star Light: Colorimetry;35
9;CHAPTER III. ELEMENTS OF STATISTICS;37
9.1;6. The Concept of Probability;37
9.2;7. Statistical Independence;40
9.3;8. Expectation Values;42
9.4;9. Some Probability Distributions;45
9.5;10. The Fourier Transform;49
9.6;11. Statistical Applications of the Fourier Transform;55
9.7;12. Further Probability Distributions;57
9.8;13. Estimation;61
9.9;14. Testing Hypotheses;79
9.10;15. Confidence Regions;85
9.11;16. Regression;86
10;CHAPTER IV. THE APPARENT DISTRIBUTION OF THE STARS AND GALAXIES;94
10.1;17. The Galactic Plane;94
10.2;18. The Apparent Distribution of the Stars;97
10.3;19. The Apparent Distribution of the Star Clusters;101
10.4;20. The Apparent Distribution of the Galaxies;102
11;CHAPTER V. KINEMATICS;107
11.1;21. The Solar Motion Estimated from Radial Velocities;107
11.2;22. The Solar Motion Estimated from Proper Motions;111
11.3;23. The Mean Motion of the Stars: Galactic Rotation;115
11.4;24. The Mean Motion of the Galaxies: the Red-shift;123
11.5;25. The Distribution of the Stellar Velocities in the Vicinity of the Sun;125
12;CHAPTER VI. STELLAR DISTANCES;133
12.1;26. Primary Methods of Estimating Stellar Distances;133
12.2;27. Colour–magnitude Diagrams;137
12.3;28. Secondary Methods of Estimating Stellar Distances;141
12.4;29. Tertiary Methods of Estimating Stellar Distances;144
13;CHAPTER VII. INTEGRAL EQUATIONS OF STELLAR STATISTICS;147
13.1;30. The Basic Integral Equations;147
13.2;31. Solving the Integral Equations;153
13.3;32. The Moments of the Solutions of the Integral Equations;155
13.4;33. Approximation in the Mean;157
13.5;34. The Convolution Equation: Miscellanea;161
13.6;35. Conditional Means;169
13.7;36. Spherically Symmetrical Star Clusters;171
14;APPENDIX I: SOME RESEARCH PROBLEMS;174
15;APPENDIX II: QUADRATIC FORMS ON THE UNIT SPHERE;175
16;APPENDIX III: SOME RECENT WORK ON THE DISTRIBUTION OF STELLAR VELOCITIES;179
17;REFERENCES;181
18;INDEX;190
19;OTHER TITLES IN THE SERIES IN NATURAL PHILOSOPHY;193
