کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6421259 1631823 2014 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hamburger moment problem and Maximum Entropy: On the existence conditions
ترجمه فارسی عنوان
مشکل لحظه ای همبرگر و حداکثر آنتروپی: در شرایط موجود
کلمات کلیدی
کمبود مشکل لحظه ای همبرگر، تعیین کننده هانکل، حداکثر آنتروپی، لحظه، فضای لحظه ای،
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

The existence of Maximum Entropy solution for the reduced Hamburger moment problem is reconsidered. Existence conditions, previously appeared in literature, are revisited allowing an easy way to identifying the existence of Maximum Entropy solution. The obtained results suggest that, except for special sequences of moments unknown a priori, the Maximum Entropy solution for the non symmetric reduced Hamburger moment problem exists. For practical purposes, the replacing of the support R with a large enough finite interval finds a theoretical warranty. The symmetric case may be formulated as follows: once assigned the first 2M moments, if MaxEnt density does not exist (conclusion drawn uniquely from numerical evidence), MaxEnt density with the first 2M-2 moments exists. In such a case, even if the first 2M moments are known, we have to settle for a density which carries less information. Theoretical results are illustrated through some numerical examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 231, 15 March 2014, Pages 111-116
نویسندگان
,