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Variational methods in statistics /

Variational methods in statistics.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rustagi, Jagdish S.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1976.
Colección:Mathematics in science and engineering ; v. 121.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Variational methods in statistics /  |c Jagdish S. Rustagi. 
260 |a New York :  |b Academic Press,  |c 1976. 
300 |a 1 online resource (xiii, 236 pages) :  |b illustrations 
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490 1 |a Mathematics in science and engineering ;  |v v. 121 
504 |a Includes bibliographical references and index. 
588 0 |a Print version record. 
520 |a Variational methods in statistics. 
505 0 |a Front Cover; Variational Methods In Statistics; Copyright Page; Table of Contents; Preface; Acknowledgements; Chapter I. Synopsis; 1.1 General Introduction; 1.2 Classical Variational Methods; 1.3 Modern Variational Methods; 1.4 Linear Moment Problems; 1.5 Nonlinear Moment Problems; 1.6 Optimal Designs for Regression Experiments; 1.7 Theory of Optimal Control; 1.8 Miscellaneous Applications of Variational Methods in Statistics; References; Chapter II. Classical Variational Methods; 2.1 Introduction; 2.2 Variational Problem; 2.3 Illustrations in Statistics; 2.4 Euler-Lagrange Equations 
505 8 |a 2.5 Statistical Application2.6 Extremals with Variable End Points; 2.7 Extremals with Constraints; 2.8 Inequality Derived from Variational Methods; 2.9 Sufficiency Conditions for an Extremum; References; Chapter III. Modem Variational Methods; 3.1 Introduction; 3.2 Examples; 3.3 Functional Equations of Dynamic Programming; 3.4 Backward Induction; 3.5 Maximum Principle; 3.6 Dynamic Programming and Maximum Principle; References; Chapter IV. Linear Moment Problems; 4.1 Introduction; 4.2 Examples; 4.3 Convexity and Function Spaces; 4.4 Geometry of Moment Spaces 
505 8 |a 4.5 Minimizing and Maximizing an Expectation4.6 Application of the Hahn-Banach Theorem t o Maximizing an Expectation Subject t o Constraints; References; Chapter V. Nonlinear Moment Problems; 5.1 Introduction; 5.2 Tests of Hypotheses and Neyman-Pearson Lemma; 5.3 A Nonlinear Minimization Problem; 5.4 Statistical Applications; 5.5 Maximum in the Nonlinear Case; 5.6 Efficiency of Tests; 5.7 Type A and Type D Regions; 5.8 Miscellaneous Applications of the Neyman-Pearson Technique; References; Chapter VI. Optimal Designs for Regression Experiments; 6.1 Introduction; 6.2 Regression Analysis 
505 8 |a 6.3 Optimality Criteria6.4 Continuous Normalized Designs; 6.5 Locally Optimal Designs; 6.6 Spline Functions; 6.7 Optimal Designs Using Splines; Appendix to Chapter VI; References; Chapter VII. Theory of Optimal Control; 7.1 Introduction; 7.2 Deterministic Control Process; 7.3 Controlled Markov Chains; 7.4 Statistical Decision Theory; 7.5 Sequential Decision Theory; 7.6 Wiener Process; 7.7 Stopping Problems; 7.8 Stochastic Control Problems; References; Chpater VIII. Miscellaneous Applications of Variational Methods in Statistics; 8.1 Introduction; 8.2 Applications in Reliability 
505 8 |a 8.3 Bioassay Application8.4 Approximations via Dynamic Programming; 8.5 Connections between Mathematical Programming and Statistics; 8.6 Stochastic Programming Problems; 8.7 Dynamic Programming Model of Patient Care; References; Index 
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650 0 |a Calculus of variations. 
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650 6 |a Calcul des variations. 
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