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| بین المللی علوم (منتشر نمی شود) | ||
| مقاله 3، دوره 1، شماره 0 - شماره پیاپی 1358، بهار 1380 اصل مقاله (74.4 K) | ||
| نویسنده | ||
M. Hossein Alamatsaz 
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| عنوان مقاله [English] | ||
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| چکیده [English] | ||
| The aim of this note is to characterize a class of distributions whose characteristic functions ?(t) for all ? > 0 satisfy the relation ?t?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 ?(t). Finally, some characterizations are arrived at for the Cauchy and N (0, ?¬2); 0< ?¬2 < ?; distributions. | ||
| کلیدواژه‌ها [English] | ||
| Cauchy distribution, characteristics function, infinite divisibility, Normal distribution, strictly stable distribution, unimodality | ||
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آمار تعداد مشاهده مقاله: 741 تعداد دریافت فایل اصل مقاله: 1,295 |
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