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.
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978-1-4831-8495-1 (9781483184951)
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PrefaceList of PlatesChapter I. Introduction 1. A Qualitative SurveyChapter 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: ColorimetryChapter 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. RegressionChapter 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 GalaxiesChapter 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 SunChapter 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 DistancesChapter 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 ClustersAppendix I. Some Research ProblemsAppendix II. Quadratic Forms on the Unit SphereAppendix III. Some Recent Work on the Distribution of Stellar VelocitiesReferencesIndexOther Titles in the Series