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Rational descriptions, decisions, and designs.
Rational Descriptions, Decisions and Designs is a reference for understanding the aspects of rational decision theory in terms of the basic formalism of information theory. The text provides ways to achieve correct engineering design decisions. The book starts with an understanding for the need to a...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Pergamon Press,
[�1969]
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| Colección: | Pergamon unified engineering series: engineering design section
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Rational Descriptions, Decisions and Designs; Copyright Page; Table of Contents; Foreword; Preface; Concerning the Use of the Book as a Text; Chapter One. What Do We Mean By Rational?; WHAT HAS THE CONCERN FOR RATIONALITY TO DO WITH DESIGN?; INDUCTIVE LOGIC; DESIDERATA FOR AN INDUCTIVE LOGIC COMPUTER; A FIRST CONSEQUENCE OF THE DESIDERATA; A SECOND CONSEQUENCE OF THE DESIDERATA; THE FUNCTIONAL EQUATIONS; A SOLUTION TO THE FUNCTIONAL EQUATION; A SECOND FUNCTIONAL RELATION; A PARTICULAR CHOICE OF VARIABLE; CONCERNING ALLOWABLE TRANSFORMATIONS; THE PROBLEM OF INFERENCE.
- APPENDIX A THE SOLUTION TO THE FIRST FUNCTIONAL EQUATIONAPPENDIX B THE SOLUTION TO THE SECOND FUNCTIONAL EQUATION; Chapter Two. Rational Descriptions, Some Mathematical Preliminaries; PROBABILITY OF AN ""OR"" STATEMENT; A GEOMETRICAL INTERPRETATION OF THE ADDITIVE RULE; CONTINGENCY TABLE; THE ENCODING OF SYMMETRICAL KNOWLEDGE; UNSYMMETRICAL CONSEQUENCES OF SYMMETRICAL KNOWLEDGE; THE CONCEPT OF A BERNOULLI TRIAL; THE MULTINOMIAL DISTRIBUTION (More than two outcomes per trial); STIRLING'S APPROXIMATION FOR n! and log n!; THE PROBABILITY OF A PARTICULAR FREQUENCY; THE CONCEPT OF EXPECTATION.
- EXPECTATIONS AND MATHEMATICAL EXPECTATIONSTHE VARIANCE AND HIGHER MOMENTS; ADDITIONAL REMARKS ON THE DIFFERENCE BETWEEN FREQUENCY AND PROBABILITY; CONTINUOUS DISTRIBUTIONS; DETERMINISTIC KNOWLEDGE ABOUT A DISCRETE OR CONTINUOUS VARIABLE; Chapter Three. Bayes' Equation and Rational Inference; BAYES' EQUATION; BAYES' EQUATION AND THE ROLE OF PRIOR PROBABILITIES-THE EXTENSION RULE; ON THE FUTILITY OF ARGUMENTS OVER THE NEED FOR PRIOR PROBABILITIES; THE CONCEPT OF STATISTICAL DEPENDENCE; HYPOTHESIS TESTING AND THE EVIDENCE FORM OF BAYES' EQUATION; EXAMPLE PROBLEM: THE SPARK PLUG MANUFACTURER.
- MULTIPLE OUTCOMES AND NON-BERNOULLI PROCESSESTHERE A HYPOTHESIS WE HAD NOT CONSIDERED?; THE CHI-SQUARE TEST OF AN HYPOTHESIS; TEST OF A RANDOM NUMBER GENERATOR; Chapter Four. A Rational Measure of Uncertainty; ENTROPY AS A MEASURE OF UNCERTAINTY; THE USE OF OTHER THAN BINARY QUESTIONS; Chapter Five. The Principle of Maximum Entropy; THE MAXIMUM ENTROPY FORMALISM; PROOF THAT S IS AT A MAXIMUM AND NOT A LOCAL SADDLE POINT; SOME PROPERTIES OF THE MAXIMUM ENTROPY DISTRIBUTION; MAXIMUM ENTROPY PROBABILITY DISTRIBUTIONS; THE UNIFORM DISTRIBUTION; THE EXPONENTIAL DISTRIBUTION.
- THE TRUNCATED AND THE NORMAL GAUSSIAN DISTRIBUTIONSTHE GAMMA DISTRIBUTION; THE INCOMPLETE GAMMA FUNCTION; THE BETA DISTRIBUTION; SOME OTHER PROBABILITY DISTRIBUTIONS; ENTROPY AND HYPOTHESIS TESTING; SOME SAMPLE CALCULATIONS; APPENDIX C. THE ERROR FUNCTION AND ITS APPROXIMATION; APPENDIX D. USING THE DIGAMMA FUNCTION TO FIT THE BETA DISTRIBUTION; Chapter Six. Contingency Tables; SOME EXAMPLES OF CONTINGENCY TABLES; PRIOR INFORMATION; THE SUMMATION CONVENTION; AN IMPORTANT INTEGRAL; THE 2 x 2 TABLE WITH STATE OF KNOWLEDGE 1A; THE r x s TABLE WITH STATE OF KNOWLEDGE 1A.