Accession Number:

AD0607348

Title:

THE ANOMALOUS CONCEPT OF STATISTICAL EVIDENCE: AXIOMS, INTERPRETATIONS, AND ELEMENTARY EXPOSITION,

Descriptive Note:

Corporate Author:

NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s):

• Birnbaum,Allan

Report Date:

1964-10-01

Pagination or Media Count:

1.0

Abstract:

This paper presented some new mathematical and interpretive material on concepts of statistical evidence. The material was given a self-contained elementary expository form restricted to the case of discrete probability distributions suitable for early inclusion in any mathematical statistics course however elementary. Part I Sections 1-6 in particular is a brief but rounded elementary account of the concept of statistical evidence and the anomalous problem of its interpretation. Part II presents further axioms for evidence and derivations of their interrelations in elementary form its Sections 7-9 present concepts which have figured significantly in the development of statistical thinking, and are a basis for a reading of Part III. The latter contains general discussion intended to given even serious beginning students, among others, some suggestions for perspectives on the broad field of statistical theories and the historical pattern of their development. The axioms of statistical evidence and some related concepts discussed, with their mathematical interrelations, are summarized. The conceptual issues and historical patterns discussed are indicated schematically. Author

Descriptors:

• (*STATISTICAL ANALYSIS
• THEORY)
• (*STOCHASTIC PROCESSES
• MATHEMATICAL MODELS)
• PROBABILITY
• STATISTICAL FUNCTIONS
• STATISTICAL PROCESSES
• DECISION THEORY

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE