CHARACTERIZATION OF CERTAIN INFINITELY DIVISIBLE DISTRIBUTIONS

Q: How can I download an article?

To download an article from SID, first log in to the site, search for the article title, and click on the 'Download Article' option.

Q: How can I download an ISI article?

To download an ISI article on SID, enter the keyword or article title in the search bar, view the relevant results, click on the desired article, and select the 'Download Article' option.

Q: How can I access the SID database?

To access the SID database, visit SID.ir, create an account, and log in to access scientific resources.

Q: Is downloading articles from SID free?

Some articles on SID are available for free, while others require payment. Details are specified on the article's page.

ALAMATSAZ M.H.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: IRANIAN INTERNATIONAL JOURNAL OF SCIENCE Year:2000 | Volume:1 | Issue:2 Page(s): 139-146

Download Full-Text

View:

276

Download:

Cites:

Information Journal Paper

Title

CHARACTERIZATION OF CERTAIN INFINITELY DIVISIBLE DISTRIBUTIONS

Author(s)

ALAMATSAZ M.H.

Keywords

INFINITE DIVISIBILITY

STRICTLY STABLE DISTRIBUTION

CAUCHY DISTRIBUTION

NORMAL DISTRIBUTION

CHARACTERISTICS FUNCTION

UNIMODALITY.

Abstract

The aim of this note is to characterize a class of distributions whose characteristic functions f (t) for all a > 0 satisfy the relation;
" tخ R
where H and H΄ are positive real constants. First, it is observed that these distributions turn out to belong to the well-known class of infinitely divisible distributions. More specifically, they are strictly stable and thus absolutely continuous, self-decomposable and unimodal. But they are not strongly unimodal except for the case of H=2H. Then some representations are obtained for f (t). Finally, some characterizations are arrived at for the Cauchy and N (0, s 2); 0< s 2 < ¥ ; distributions.

Multimedia

No record.

Cites

No record.

References

No record.

Cite

APA: Copy

ALAMATSAZ, M.H.. (2000). CHARACTERIZATION OF CERTAIN INFINITELY DIVISIBLE DISTRIBUTIONS. IRANIAN INTERNATIONAL JOURNAL OF SCIENCE, 1(2), 139-146. SID. https://sid.ir/paper/271944/en

Vancouver: Copy

ALAMATSAZ M.H.. CHARACTERIZATION OF CERTAIN INFINITELY DIVISIBLE DISTRIBUTIONS. IRANIAN INTERNATIONAL JOURNAL OF SCIENCE[Internet]. 2000;1(2):139-146. Available from: https://sid.ir/paper/271944/en

IEEE: Copy

M.H. ALAMATSAZ, “CHARACTERIZATION OF CERTAIN INFINITELY DIVISIBLE DISTRIBUTIONS,” IRANIAN INTERNATIONAL JOURNAL OF SCIENCE, vol. 1, no. 2, pp. 139–146, 2000, [Online]. Available: https://sid.ir/paper/271944/en

Related Journal Papers

No record.

Related Seminar Papers

No record.

Related Plans

No record.

Recommended Workshops