On the existence of some ARCH(∞) processes

نویسندگان

  • Randal Douc
  • François Roueff
  • Philippe Soulier
چکیده

A new sufficient condition for the existence of a stationary causal solution of an ARCH(∞) equation is provided. This condition allows to consider coefficients with power-law decay, so that it can be applied to the so-called FIGARCH processes, whose existence is thus proved.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Time reversal invariance in finance

Time reversal invariance can be summarised as follows: no difference can be measured if a sequence of events is run forward or backward in time. Because price time series are dominated by a randomness that hides possible structures and orders, the existence of time reversal invariance requires care to be investigated. Different statistics are constructed with the property to be zero for time se...

متن کامل

ارتباط گرفتاری آترواسکلروتیک شرایین محیطی با درگیری پاتولوژیک قوس آئورت در بیماران تحت بای‌پس عروق کرونر قلبی

Background: A correlation between coronary artery disease (CAD) and atherosclerosis of peripheral arteries and the determination of noninvasive indexes for its existence and extent have been sought by many researchers. Some studies report that the intima-media thickness (IMT) of peripheral arteries could play this role. This study evaluated the correlation between the IMTs of common carotid and...

متن کامل

On the existence of Hilbert valued periodically correlated‎ autoregressive processes

‎In this paper we provide sufficient condition for existence of a‎ ‎unique Hilbert valued ($mathbb{H}$-valued) periodically‎ ‎correlated solution to the first order autoregressive model‎ ‎$X_{n}=rho _{n}X_{n-1}+Z_{n}$‎, ‎for $nin mathbb{Z}$‎, ‎and‎ ‎formulate the existing solution and its autocovariance operator‎. ‎Also we specially investigate equivalent condition for the‎ ‎coordinate process...

متن کامل

ویژگی‌های بصری شاخص تزئینات گچبری‌ معماری عصر ایلخانی

Ilkhanid, after Iran occupation, achieved Seljuq art and done some changes on it that improved Iran Islamic Art. One of the arts that considerate a lot in architecture was Stucco decoration. These stucco decoration are not identified as well as they are. Approximately the whole stucco are identified by archaeologists, they describe about relation between stucco place and architecture and the ti...

متن کامل

A Study and Critique of Moral Liberalism Based on perspective "Existence of pure connection” Mulla Sadra

Moral liberalism is based on the separation of moral values from reality and emphasizes that the criterion of moral-value is the "person himself". In liberal ethics, one's happiness depends on himself and moral values have a relative meaning. According to Mulla Sadra, the process of creation in the arch of descent is based on manifestation and the effects are the pure connection to the cause an...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006