Optimum Inductive Methods [electronic resource] : A Study in Inductive Probability, Bayesian Statistics, and Verisimilitude / by R. Festa.

Erişim Adresi
Link
ISBN
9789401581318
Dil Kodu
İngilizce
Yazar
Festa, R.
Basım Bildirimi
1st ed. 1993.
Yayın Bilgisi
Dordrecht : Springer Netherlands : Imprint: Springer, 1993.
Fiziksel Niteleme
XIV, 194 p. online resource.
Dizi
Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science, 2542-8292 ; 232
İçindekiler Notu
1. Introduction -- 2. The Theory of Inductive Probabilities: Basic Features and Applications -- 3. Bayesian Statistics and Multinomial Inferences: Basic Features -- 4. Bayesian Point Estimation, Verisimilitude, and Immodesty -- 5. Exchangeable Inductive Methods, Bayesian Statistics, and Convergence towards the Truth -- 6. GC-Systems and Dirichlet Distributions -- 7. The Choice of Prior Probabilities: The Subjective, Aprioristic, and Contextual Approaches -- 8. The Epistemic Problem of Optimality (EPO): A Contextual Approach -- 9. The Contextual Approach to EPO: Comparisons with Other Views -- 10. Disordered Universes: Diversity Measures in Statistics and the Empirical Sciences -- 11. Concluding Remarks -- Notes -- References -- Index of Names -- Index of Subjects -- List of requirements and acronyms.
Özet, vb.
This book deals with a basic problem arising within the Bayesian approach 1 to scientific methodology, namely the choice of prior probabilities. The problem will be considered with special reference to some inference methods used within Bayesian statistics (BS) and the so-called theory of inductive 2 probabilities (T/P). In this study an important role will be played by the assumption - defended by Sir Karl Popper and the supporters of the current verisimilitude theory (VT) - that the cognitive goal of science is the achievement of a high degree of truthlikeness or verisimilitude. A more detailed outline of the issues and objectives of the book is given in Section 1. In Section 2 the historical background of the Bayesian approach and the verisimilitude theory is briefly illustrated. In Section 3, the methods used in TIP and BS for making multinomial inference~ are considered and some conceptual relationships between TIP and BS are pointed out. In Section 4 the main lines of a new approach to the problem of the choice of prior probabilities are illustrated. Lastly, in Section 5 >the structure of the book is described and a first explanation of some technical terms is provided.
Konu
Logic.
Statistics .
Science __ Philosophy.
Knowledge, Theory of.
Logic.
Statistics.
Philosophy of Science.
Epistemology.
Kurum Adı
SpringerLink (Online service)
İşlemler