The mathematical implications of personal beliefs and values in
science and commerce
Amid a worldwide resurgence of interest in subjectivist statistical
method, this book offers a fresh look at the role of personal
judgments in statistical analysis. Frank Lad demonstrates how
philosophical attention to meaning provides a sensible assessment
of the prospects and procedures of empirical inferential learning.
Operational Subjective Statistical Methods offers a systematic
investigation of Bruno de Finetti's theory of probability and logic
of uncertainty, which recognizes probability as the measure of
personal uncertainty at the heart of its mathematical presentation.
It identifies de Finetti's "fundamental theorem of coherent
provision" as the unifying structure of probabilistic logic, and
highlights the judgment of exchangeability rather than causal
independence as the key probabilistic component of statistical
inference.
Broad in scope, yet firmly grounded in mathematical detail, this
text/reference
Invites readers to address the subjective personalist meaning of
probability as motivating the mathematical construction
* Contains numerous examples and problems, including computing
problems using Matlab, assuming no background in Matlab
* Explains how to use the material in three distinct sequential
courses in math and statistics, as well as in courses at the
graduate level in applied fields
* Provides an introductory basis for understanding more complex
structures of statistical analysis
Complete with fifty illustrations, Operational Subjective
Statistical Methods makes an intriguing discipline accessible to
professionals, students, and the interested general reader. It
contains a wealth of teaching and research material, and offers
profound insight into the relationship between philosophy, faith,
and scientific method.
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