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Mathematical methods of statistics
In this classic of statistical mathematical theory, Harald Cramér joins the two major lines of development in the field: while British and American statisticians were developing the science of statistical inference, French and Russian probabilitists transformed the classical calculus of probability...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton,
Princeton University Press,
1946.
|
| Colección: | Princeton mathematical series ;
9. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- pt. I. Mathematical introduction. General properties of sets
- Linear point sets
- Point sets in n dimensions
- The Lebesgue measure of a linear point set
- The Lebesgue integral for functions of one variable
- Non-negative additive set functions in R₁
- The Lebesgue-Stieltjes integral for functions of one variable
- Lebesgue measure and other additive set functions in R[subscript n]
- The Lebesgue-Stieltjes integral for functions of n variables
- Fourier integrals
- Matrices, determinants and quadratic forms
- Miscellaneous complements
- pt. II. Random variables and probability distributions. Statistics and probability
- Fundamental definitions and axioms
- General properties
- Various discrete distributions
- The normal distribution
- Various distributions related to the normal
- Further continuous distributions
- Some convergence theorems
- The two-dimensional case
- General properties of distributions in R[subscript n]
- Regression and correlation in n variables
- The normal distribution
- pt. III. Statistical inference. Preliminary notions on sampling
- Statistical inference
- Characteristics of sampling distributions
- Asymptotic properties of sampling distributions
- Exact sampling distributions
- Tests of goodness of fit and allied tests
- Tests of significance for parameters
- Classification of estimates
- Methods of estimation
- Confidence regions
- General theory of testing statistical hypotheses
- Analysis of variance
- Some regression problems.