Accession Number:

AD0601871

Title:

SUPPORTS OF INFINITELY DIVISIBLE DISTRIBUTIONS.

Descriptive Note:

Technical rept. no. 3,

Corporate Author:

MICHIGAN STATE UNIV EAST LANSING

Personal Author(s):

• Rubin,Herman

Report Date:

1963-09-23

Pagination or Media Count:

8.0

Abstract:

There has been a considerable amount of recent interest in the problem of characterizing absolutely continuous infinitely divisible distributions by their Levy-Khintechine representation, and in the singular case, characterizing the dimension of the support. It is easy to give examples of infinitely divisible distributions of 0-dimensional support whose convolution is absolutely continuous. This work shows that the dimension of the marginals of a process of independ ent stationary increments can do anything consistent with dimension increasing on convolution and the marginals possibly becoming absolutely continuous. Author

Descriptors:

• (*STATISTICAL DISTRIBUTIONS
• DISTRIBUTION THEORY)
• (*STATISTICAL PROCESSES
• STATISTICAL DISTRIBUTIONS)
• SERIES(MATHEMATICS)
• SEQUENCES(MATHEMATICS)
• NUMBER THEORY

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE