G.I. Gurdjieff - Feet of Clay. A Study of Gurus.

Main subject categories: • Probability • Applications of probability • Inference • Decision theoryThe standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary. The Standard Rules Of Probability Can Be Interpreted As Uniquely Valid Principles In Logic. In This Book, E. T. Jaynes Dispels The Imaginary Distinction Between Probability Theory And Statistical Inference, Leaving A Logical Unity And Simplicity, Which Provides Greater Technical Power And Flexibility In Applications. This Book Goes Beyond The Conventional Mathematics Of Probability Theory, Viewing The Subject In A Wider Context. New Results Are Discussed, Along With Applications Of Probability Theory To A Wide Variety Of Problems In Physics, Mathematics, Economics, Chemistry And Biology. It Contains Many Exercises And Problems, And Is Suitable For Use As A Textbook On Graduate Level Courses Involving Data Analysis. The Material Is Aimed At Readers Who Are Already Familiar With Applied Mathematics At An Advanced Undergraduate Level Or Higher. The Book Will Be Of Interest To Scientists Working In Any Area Where Inference From Incomplete Information Is Necessary -- Plausible Reasoning -- The Quantitative Rules -- Elementary Sampling Theory -- Elementary Hypothesis Testing -- Queer Uses For Probability Theory -- Elementary Parameter Estimation -- The Central, Gaussian Or Normal Distribution -- Sufficiency, Ancillarity, And All That -- Repetitive Experiments : Probability And Frequency -- Physics Of 'random Experiments' -- Discrete Prior Probabilities : The Entropy Principle -- Ignorance Priors And Transformation Groups -- Decision Theory, Historical Background -- Simple Applications Of Decision Theory -- Paradoxes Of Probability Theory -- Orthodox Methods : Historical Background -- Principles And Pathology Of Orthodox Statistics -- The Ap Distribution And Rule Of Succession -- Physical Measurements -- Model Comparison -- Outliers And Robustness -- Introduction To Communication Theory. E.t. Jaynes ; Edited By G. Larry Bretthorst. Includes Bibliographical References (p. 705-720) And Indexes. Publisher Description: > The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between "probability theory" and "statistical inference", leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of probability theory to a wide variety of problems in physics, mathematics, economics, chemistry and biology. It contains many exercises and problems, and is suitable for use as a textbook on graduate level courses involving data analysis. The material is aimed at readers who are already familiar with applied mathematics at an advanced undergraduate level or higher. The book will be of interest to scientists working in any area where inference from incomplete information is necessary. Book Description: > Going beyond the conventional mathematics of probability theory, this study views the subject in a wider context. It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information. Foreword Preface Part I. Principles and Elementary Applications: 1. Plausible reasoning 2. The quantitative rules 3. Elementary sampling theory 4. Elementary hypothesis testing 5. Queer uses for probability theory 6. Elementary parameter estimation 7. The central, Gaussian or normal distribution 8. Sufficiency, ancillarity, and all that 9. Repetitive experiments, probability and frequency 10. Physics of 'random experiments' Part II. Advanced Applications: 11. Discrete prior probabilities, the entropy principle 12. Ignorance priors and transformation groups 13. Decision theory: historical background 14. Simple applications of decision theory 15. Paradoxes of probability theory 16. Orthodox methods: historical background 17. Principles and pathology of orthodox statistics 18. The Ap distribution and rule of succession 19. Physical measurements 20. Model comparison 21. Outliers and robustness 22. Introduction to communication theory References Appendix A. Other approaches to probability theory Appendix B. Mathematical formalities and style Appendix C. Convolutions and cumulants A comprehensive introduction to the role of probability theory in general scientific endeavour. This book provides an original interpretation of probability theory, showing the subject to be an extension of logic, and presenting new results and applications. Ideal for scientists working in any area involving inference from incomplete information Suppose some dark night a policeman walks down a street, apparently deserted.