Theories of probability : an examination of logical and qualitative foundations / Louis Narens.

Format:

Book

Author/Creator:

Narens, Louis.

Series:

Advanced Series on Mathematical Psychology

Advanced series on mathematical psychology ; v. 2

Language:

English

Subjects (All):

Probabilities.

Mathematical statistics.

Physical Description:

1 online resource (232 p.)

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, 2007.

Language Note:

English

Summary:

Standard probability theory has been an enormously successful contribution to modern science. However, from many perspectives it is too narrow as a general theory of uncertainty, particularly for issues involving subjective uncertainty. This first-of-its-kind book is primarily based on qualitative approaches to probabilistic-like uncertainty, and includes qualitative theories for the standard theory as well as several of its generalizations.One of these generalizations produces a belief function composed of two functions: a probability function that measures the probabilistic strength of an un

Contents:

1. Elementary concepts

2. Kolmogorov Probability Theory

3. Infinitesimals

4. Qualitative probability

5. Qualitative utility

6. Axioms for choice proportions

7. Conditional belief

8. Lattices

9. Belief for scientific events and refutations

10. The psychology of human probability judgments

11. Mathematical considerations.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611918965

9781281918963

1281918962

9789812770073

9812770070