Parameter estimation for infinite variance fractional ARIMA

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Parameter Estimation for In nite Variance Fractional ARIMA

Consider the fractional ARIMA time series with innovations that have innnite variance. This is a nite parameter model which exhibits both long-range dependence (long memory) and high variability. We prove the consistency of an estimator of the unknown parameters which is based on the periodogram and derive its asymptotic distribution. This shows that the results of Mikosch, Gadrich, Kl uppelber...

متن کامل

Estimation of Fractional Arima Models for the Uk Unemployment

Financial support from ESRC grant number L116251013, Macroeconomic Modelling and Policy Analysis in a Changing Word is gratefully acknowledged. The usual disclaimer applies. Fractional integrated ARMA (ARFIMA) models are investigated in this article for different measures of the UK unemployment. The analysis is carried out using the Sowell (1992) procedure of estimating by maximum likelihood in...

متن کامل

Estimation of The Long-Range Dependence Parameter of Fractional Arima Processes

The most well-known models of long-range dependent processes are fractional Gaussian noise [7] (thus secondorder self-similarity) and fractional ARIMA [3, 4]. Each of these models has a corresponding long-range dependence parameter. Since the value of the parameter indicates the intensity of this dependence structure, it is important to have a better tool to estimate it. Such an estimator shoul...

متن کامل

Parameter estimation for α-fractional bridges

Let α, T > 0. We study the asymptotic properties of a least squares estimator for the parameter α of a fractional bridge defined as dXt = −α Xt T−t dt + dBt, 0 6 t < T , where B is a fractional Brownian motion of Hurst parameter H > 12 . Depending on the value of α, we prove that we may have strong consistency or not as t → T . When we have consistency, we obtain the rate of this convergence as...

متن کامل

Parameter Estimation for Fractional Poisson Processes

The paper proposes a formal estimation procedure for parameters of the fractional Poisson process (fPp). Such procedures are needed to make the fPp model usable in applied situations. The basic idea of fPp, motivated by experimental data with long memory is to make the standard Poisson model more flexible by permitting nonexponential, heavy-tailed distributions of interarrival times and differe...

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

ژورنال

عنوان ژورنال: The Annals of Statistics

سال: 1996

ISSN: 0090-5364

DOI: 10.1214/aos/1069362302