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Mathematical statistics /

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Bibliographic Details
Main Author: Rietz, H. L. (Henry Lewis), 1875-1943 (Author)
Format: Electronic eBook
Language:English
Published: [Washington, District of Columbia] : Mathematical Association of America, 1927.
Subjects:
Mathematics > Study and teaching.
Mathematical statistics > Textbooks.
Online Access: Full text (MFA users only)
ISBN:9781614440031
1614440034
Local Note:ProQuest Ebook Central
Table of Contents:
  • Front Cover
  • Mathematical Statistics
  • Copyright Page
  • Preface
  • Table of Contents
  • Chapter I. The Nature of the Problems and Underlying Concepts or Mathematical Statistics
  • 1. The scope of mathematical statistics
  • 2. Historical remarks
  • 3. Two general types of problems
  • 4. Relative frequency and probability
  • 5. Observed and theoretical frequency distributions
  • 6. The arithmetic mean and mathematical expectation
  • 7. The mode and the most probable value
  • 8. Moments and the mathematical expectations of powers of a variable
  • Chapter II. Relative Frequencies in Simple Sampling9. The binomial description of frequency
  • 10. Mathematical expectation and standard deviation of the number of successes
  • 11. Theorem of Bernoulli
  • 12. The De Moivre-Laplace theorem
  • 13. The quartile deviation
  • 14. The law of small probabilities. The Poisson exponential function
  • Chapter III. Frequency Functions of One Variable
  • 15. Introduction
  • 16. The Pearson system of generalized frequency curves
  • 17. Generalized normal curvesâ€?Gram-Charlier series
  • 18. Remarks on the genesis of Type A and Type Î? forms19. The coefficients of the Type A series expressed in moments of the observed distribution
  • 20. Remarks on two methods of determining the coefficients of the Type A series
  • 21. The coefficients of the Type Î? series
  • 22. Remarks
  • 23. Skewness
  • 24. Excess
  • 25. Remarks on the distribution of certain transformed variates
  • 26. Remarks on the use of various frequency functions as generating functions in a series representation
  • Chapter IV. Correlation
  • 27. Meaning of simple correlation
  • 28. The regressive method and the correlation surface method of describing correlation29. The correlation coefficient
  • The Regression Method of Description
  • 30. Linear regression
  • 31. The standard deviation of arraysâ€?mean square error of estimate
  • 32. Non-linear regressionâ€?the correlation ratio
  • 33. Multiple correlation
  • 34. Partial correlation
  • 35. Non-linear regression in η variablesâ€?multiple correlation ratio
  • 36. Remarks on the place of probability in the regression method
  • The Correlation Surface Method of Description
  • 37. Normal correlation surfaces38. Certain properties of normally correlated distributions
  • 39. Remarks on further methods of characterizing correlation
  • Chapter V. On Random Sampling Fluctuations
  • 40. Introduction
  • 41. Standard error and correlation of errors in class frequencies
  • 42. Remarks on the assumptions involved in the derivation of standard errors
  • 43. Standard error in the arithmetic mean and in a qth moment coefficient about a fixed point
  • 44. Standard error of the qth moment Î?q about a mean

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