Background
Glenn Ray Shafer was born on November 21, 1946 in Caney, Montgomery County, Kansas, United States. He is a son of Richard Glenn Shafer, a farmer and mail carrier, and Anna Loucile (Mayfield) Shafer, homemaker.
Princeton University, Princeton, New Jersey, United States
In 1968 Glenn Ray Shafer received a Bachelor of Arts degree in mathematics from the Princeton University and a Doctor of Philosophy degree in statistics in 1973.
(Both in science and in practical affairs we reason by com...)
Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverges from Depster's viewpoint by identifying his "lower probabilities" as epistemic probabilities and taking his rule for combining "upper and lower probabilities" as fundamental. The book opens with a critique of the well-known Bayesian theory of epistemic probability. It then proceeds to develop an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions. This rule, together with the idea of "weights of evidence," leads to both an extensive new theory and a better understanding of the Bayesian theory. The book concludes with a brief treatment of statistical inference and a discussion of the limitations of epistemic probability. Appendices contain mathematical proofs, which are relatively elementary and seldom depend on mathematics more advanced that the binomial theorem.
https://www.amazon.com/Mathematical-Theory-Evidence-Glenn-Shafer/dp/069110042X/?tag=2022091-20
1976
(In The Art of Causal Conjecture, Glenn Shafer lays out a ...)
In The Art of Causal Conjecture, Glenn Shafer lays out a new mathematical and philosophical foundation for probability and uses it to explain concepts of causality used in statistics, artificial intelligence, and philosophy. The various disciplines that use causal reasoning differ in the relative weight they put on security and precision of knowledge as opposed to timeliness of action. The natural and social sciences seek high levels of certainty in the identification of causes and high levels of precision in the measurement of their effects. The practical sciences -- medicine, business, engineering, and artificial intelligence -- must act on causal conjectures based on more limited knowledge. Shafer's understanding of causality contributes to both of these uses of causal reasoning. His language for causal explanation can guide statistical investigation in the natural and social sciences, and it can also be used to formulate assumptions of causal uniformity needed for decision making in the practical sciences. Causal ideas permeate the use of probability and statistics in all branches of industry, commerce, government, and science. The Art of Causal Conjecture shows that causal ideas can be equally important in theory. It does not challenge the maxim that causation cannot be proven from statistics alone, but by bringing causal ideas into the foundations of probability, it allows causal conjectures to be more clearly quantified, debated, and confronted by statistical evidence.
https://www.amazon.com/Art-Causal-Conjecture-Artificial-Intelligence/dp/026219368X/?tag=2022091-20
1996
(This book provides a foundation for probability based on ...)
This book provides a foundation for probability based on game theory rather than measure theory. A strong philosophical approach with practical applications. Presents in-depth coverage of classical probability theory as well as new theory.
https://www.amazon.com/gp/product/0471402265/?tag=2022091-20
2001
Glenn Ray Shafer was born on November 21, 1946 in Caney, Montgomery County, Kansas, United States. He is a son of Richard Glenn Shafer, a farmer and mail carrier, and Anna Loucile (Mayfield) Shafer, homemaker.
In 1968 Glenn Ray Shafer received a Bachelor of Arts degree in mathematics from the Princeton University and a Doctor of Philosophy degree in statistics in 1973.
From 1973 to 1976 Glenn Ray Shafer was an assistant professor of statistics at the Princeton University. He began as an assistant professor at the University of Kansas, Lawrence, and derved as a professor of mathematics from 1976 to 1984, and a professor of business from 1984 to 1992. In 1992 Shafer was appointed a professor of management at the Rutgers University, Newark Campus.
(In The Art of Causal Conjecture, Glenn Shafer lays out a ...)
1996(Both in science and in practical affairs we reason by com...)
1976(This book provides a foundation for probability based on ...)
2001Glenn Ray Shafer is a member of Christian Church (Disciples of Christ).
Glenn Ray Shafer is a member of the American Statistical Association, of the Institute of Mathematical Statistics, of the American Accounting Association, of the American Association for Artificial Intelligence, of the History of Science Society, of the Philosophy of Science Association, and of the Judgment and Decision Making Society.
On August 25, 1970 Glenn Ray Shafer married Teresa Ann Shistar. In November 1985 they divorced and have two children: Richard Glenn, Dennis Steven. On October 14, 1989 Shafer married Nell Irvin Painter.