Operational Subjective Statistical Methods
A Mathematical, Philosophical, and Historical Introduction
Seiten
1996
Wiley-Interscience (Verlag)
978-0-471-14329-1 (ISBN)
Wiley-Interscience (Verlag)
978-0-471-14329-1 (ISBN)
Methods of subjective statistical analysis have seen a resurgence of activity in the last decade. This book treats the theory of probability and the logic of uncertainty in a systematic way. It features a technical presentation of the mathematical impact of personal beliefs and values on statistical analysis.
The mathematical implications of personal beliefs and values inscience and commerce
Amid a worldwide resurgence of interest in subjectivist statisticalmethod, this book offers a fresh look at the role of personaljudgments in statistical analysis. Frank Lad demonstrates howphilosophical attention to meaning provides a sensible assessmentof the prospects and procedures of empirical inferentiallearning.
Operational Subjective Statistical Methods offers a systematicinvestigation of Bruno de Finetti's theory of probability and logicof uncertainty, which recognizes probability as the measure ofpersonal uncertainty at the heart of its mathematical presentation.It identifies de Finetti's "fundamental theorem of coherentprovision" as the unifying structure of probabilistic logic, andhighlights the judgment of exchangeability rather than causalindependence as the key probabilistic component of statisticalinference.
Broad in scope, yet firmly grounded in mathematical detail, thistext/reference
Invites readers to address the subjective personalist meaning ofprobability as motivating the mathematical construction
* Contains numerous examples and problems, including computingproblems using Matlab, assuming no background in Matlab
* Explains how to use the material in three distinct sequentialcourses in math and statistics, as well as in courses at thegraduate level in applied fields
* Provides an introductory basis for understanding more complexstructures of statistical analysis
Complete with fifty illustrations, Operational SubjectiveStatistical Methods makes an intriguing discipline accessible toprofessionals, students, and the interested general reader. Itcontains a wealth of teaching and research material, and offersprofound insight into the relationship between philosophy, faith,and scientific method.
The mathematical implications of personal beliefs and values inscience and commerce
Amid a worldwide resurgence of interest in subjectivist statisticalmethod, this book offers a fresh look at the role of personaljudgments in statistical analysis. Frank Lad demonstrates howphilosophical attention to meaning provides a sensible assessmentof the prospects and procedures of empirical inferentiallearning.
Operational Subjective Statistical Methods offers a systematicinvestigation of Bruno de Finetti's theory of probability and logicof uncertainty, which recognizes probability as the measure ofpersonal uncertainty at the heart of its mathematical presentation.It identifies de Finetti's "fundamental theorem of coherentprovision" as the unifying structure of probabilistic logic, andhighlights the judgment of exchangeability rather than causalindependence as the key probabilistic component of statisticalinference.
Broad in scope, yet firmly grounded in mathematical detail, thistext/reference
Invites readers to address the subjective personalist meaning ofprobability as motivating the mathematical construction
* Contains numerous examples and problems, including computingproblems using Matlab, assuming no background in Matlab
* Explains how to use the material in three distinct sequentialcourses in math and statistics, as well as in courses at thegraduate level in applied fields
* Provides an introductory basis for understanding more complexstructures of statistical analysis
Complete with fifty illustrations, Operational SubjectiveStatistical Methods makes an intriguing discipline accessible toprofessionals, students, and the interested general reader. Itcontains a wealth of teaching and research material, and offersprofound insight into the relationship between philosophy, faith,and scientific method.
FRANK LAD, PhD, is Senior Lecturer in Mathematics and Statistics at the University of Canterbury, Christchurch, New Zealand. He has worked on applied statistical problems in demography, economics, and zoology.
Philosophical and Historical Introduction.
Quantities, Prevision, and Coherency.
Coherent Statistical Inference.
Related Forms for Asserting Uncertain Knowledge.
Distribution Functions.
Proper Scoring Rules.
The Multivariate Normal Distribution and Its Mixtures.
Sequential Forecasting Based on Linear Conditional PrevisionStructures: Theory and Practice of Linear Regression.
The Direction of Statistical Research.
References.
Index.
| Erscheint lt. Verlag | 8.10.1996 |
|---|---|
| Reihe/Serie | Wiley Series in Probability and Statistics |
| Sprache | englisch |
| Maße | 159 x 238 mm |
| Gewicht | 798 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Statistik |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| ISBN-10 | 0-471-14329-4 / 0471143294 |
| ISBN-13 | 978-0-471-14329-1 / 9780471143291 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
| Haben Sie eine Frage zum Produkt? |
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