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 : 23 SEP 1963

Pagination or Media Count : 8

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

Distribution Statement : APPROVED FOR PUBLIC RELEASE