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Advanced calculus with applications in statistics / / Andre I. Khuri
| Advanced calculus with applications in statistics / / Andre I. Khuri |
| Autore | Khuri Andre I. <1940-> |
| Edizione | [2nd ed., rev. and expanded.] |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2003 |
| Descrizione fisica | 1 online resource (703 p.) |
| Disciplina | 515 |
| Collana | Wiley series in probability and statistics |
| Soggetto topico |
Calculus
Mathematical statistics |
| ISBN |
9786610366989
9781280366987 1280366982 9780470313077 0470313072 9780470120699 047012069X 9780471461623 0471461628 9780471394884 0471394882 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Advanced Calculus with Applications in Statistics Second Edition; Contents; Preface; Preface to the First Edition; 1. An Introduction to Set Theory; 2. Basic Concepts in Linear Algebra; 3. Limits and Continuity of Functions; 4. Differentiation; 5. Infinite Sequences and Series; 6. Integration; 7. Multidimensional Calculus; 8. Optimization in Statistics; 9. Approximation of Functions; 10. Orthogonal Polynomials; 11. Fourier Series; 12. Approximation of Integrals; Appendix. Solutions to Selected Exercises; General Bibliography; Index |
| Record Nr. | UNINA-9911019756503321 |
Khuri Andre I. <1940->
|
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| Hoboken, N.J., : Wiley-Interscience, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Statistical tests in mixed linear models / / Andre I. Khuri, Thomas Mathew, Bimal K. Sinha
| Statistical tests in mixed linear models / / Andre I. Khuri, Thomas Mathew, Bimal K. Sinha |
| Autore | Khuri Andre I. <1940-> |
| Pubbl/distr/stampa | New York, : Wiley, c1998 |
| Descrizione fisica | 1 online resource (378 p.) |
| Disciplina | 519.5/6 |
| Altri autori (Persone) |
MathewThomas <1955->
SinhaBimal K. <1946-> |
| Collana | Wiley series in probability and statistics. Applied probability and statistics section |
| Soggetto topico |
Linear models (Statistics)
Statistical hypothesis testing |
| ISBN |
9786613273970
9781283273978 1283273977 9781118164860 1118164865 9781118164853 1118164857 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Statistical Tests for Mixed Linear Models; Contents; Preface; 1. Nature of Exact and Optimum Tests in Mixed Linear Models; 1.1. Introduction; 1.2. Exact F-Tests; 1.3. Optimality of Tests; 1.3.1. Uniformly Most Powerful Similar and Uniformly Most Powerful Unbiased Tests; 1.3.2. Uniformly Most Powerful Invariant and Locally Most Powerful or Locally Best Invariant Tests; Appendix 1.1. Distribution of a Maximal Invariant T (x): Wijsman's Representation Theorem; Bibliography; 2. Balanced Random and Mixed Models; 2.1. Introduction; 2.2. Balanced Models - Notations and Definitions
2.3. Balanced Model Properties2.4. Balanced Mixed Models: Distribution Theory; 2.5. Derivation of Optimum Tests; 2.5.1. A Numerical Example; 2.6. Approximate and Exact Tests; 2.6.1. Satterthwaite's Approximation; 2.6.2. Exact Unbiased Tests of Bartlett-Scheffé Type; Exercises; Bibliography; 3. Measures of Data Imbalance; 3.1. Introduction; 3.2. The Effects of Imbalance; 3.2.1. The Variance of σ2τ; 3.2.2. The Probability of a Negative σ2τ; 3.2.3. Power of the Test Concerning σ2τ; 3.3. Measures of Imbalance for the One-Way Model; 3.3.1. The Effect of Imbalance on Var(σ2τ) 3.3.2. The Effect of Imbalance on the Test Concerning σ2τ3.4. A General Procedure For Measuring Imbalance; 3.4.1. The One-Way Classification Model; 3.4.2. The Two-Way Classification Model; 3.4.3. The Three-Way Classification Model; 3.5. Special Types of Imbalance; 3.5.1. The Two-Fold Nested Classification Model; 3.5.2. A Model With a Mixture of Cross-Classified and Nested Effects; 3.6. A General Method for Determining the Effect of Imbalance; 3.6.1. Generation of Designs Having a Specified Degree of Imbalance for the One-Way Model; 3.6.2. An Example; 3.7. Summary Appendix 3.1. Hirotsu's ApproximationExercises; Bibliography; 4. Unbalanced One-Way and Two-Way Random Models; 4.1. Introduction; 4.2. Unbalanced One-Way Random Models; 4.3. Two-Way Random Models; 4.3.1. Models Without Interaction: Exact Tests; 4.3.2. Models Without Interaction: Optimum Tests; 4.3.3. Models With Interaction: Exact Tests; 4.3.4. A Numerical Example; 4.4. Random Two-Fold Nested Models; 4.4.1. Testing Hβ(τ) : σ2β(τ) = 0; 4.4.2. Testing Hτ : σ2τ = 0; Exercises; Bibliography; 5. Random Models with Unequal Cell Frequencies in the Last Stage; 5.1. Introduction 5.2. Unbalanced Random Models With Imbalance In The Last Stage Only-Notation5.3. Unbalanced Random Models With Imbalance In The Last Stage Only-Analysis; 5.3.1. Derivation of Exact Tests; 5.4. More on Exact Tests; 5.4.1. Power of the Exact Tests; 5.4.2. Sufficient Statistics Associated With the Exact Tests; 5.5. A Numerical Example; Exercises; Bibliography; 6. Tests in Unbalanced Mixed Models; 6.1. Introduction; 6.2. Mixed Models With Two Variance Components; 6.2.1. Test for Hτ : τ1 = ... = τυ; 6.2.2. Optimum Test for Hτ : σ2τ = 0 6.3. Mixed Two-Way Crossed-Classification Models With Interactions |
| Record Nr. | UNINA-9911019489703321 |
|
Khuri Andre I. <1940->
|
||
| New York, : Wiley, c1998 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||