کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7378701 1480129 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stable continuous-time autoregressive process driven by stable subordinator
ترجمه فارسی عنوان
فرآیند مستقل اتفاقی زمان مداوم است که توسط فرمانده پایدار به کار رفته است
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی
In this paper we examine the continuous-time autoregressive moving average process driven by α-stable Lévy motion delayed by inverse stable subordinator. This process can be applied to high-frequency data with visible jumps and so-called “trapping-events”. Those properties are often visible in financial time series but also in amorphous semiconductors, technical data describing the rotational speed of a machine working under various load regimes or data related to indoor air quality. We concentrate on the main characteristics of the examined subordinated process expressed in the language of the measures of dependence which are main tools used in statistical investigation of real data. However, because the analyzed system is based on the α-stable distribution therefore we cannot consider here the correlation (or covariance) as a main measure which indicates at the dependence inside the process. In the paper we examine the codifference, the more general measure of dependence defined for wide class of processes. Moreover we present the simulation procedure of the considered system and indicate how to estimate its parameters. The theoretical results we illustrate by the simulated data analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 444, 15 February 2016, Pages 1012-1026
نویسندگان
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