کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
975295 | 933023 | 2008 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fractional Ornstein–Uhlenbeck processes. Joseph effect in models with infinite variance
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We consider five fractional generalizations of the Markovian αα-stable Ornstein–Uhlenbeck process and explore the dependence structure of these stochastic models. Since the variance of αα-stable distributed random variables is infinite, we describe the dependence structure of the introduced processes in the language of the function called codifference. We present exact formulas for the asymptotic behavior of codifference and answer the question of long-range dependence property (Joseph effect) for the discussed fractional αα-stable models. We show that the fractional Ornstein–Uhlenbeck processes can display both Noah and Joseph effect.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issue 1, 1 January 2008, Pages 123–133
Journal: Physica A: Statistical Mechanics and its Applications - Volume 387, Issue 1, 1 January 2008, Pages 123–133
نویسندگان
Marcin Magdziarz,