ARCH and GARCH models have been used recently in model-based signal processing applications, such as speech and sonar signal processing. In these applications, additive noise is often inevitable. Conventional methods for parameter estimation of ARCH and GARCH processes assume that the data are clean. The parameter estimation performance degrades greatly when the measurements are noisy. In this ...

Most studies on the asymmetric and non-linear properties of US business cycles exclude the dimension of asymmetric conditional volatility. Engle (1982) proposes an autoregressive conditional heteroskedasticity (ARCH) model to capture the time-varying volatility of inflation rates in the United Kingdom. Weiss (1984) finds evidence of ARCH in the US industrial production. The ARCH model is then e...

We use a discrete time analysis, giving necessary and sufficient conditions for the almost sure convergence of ARCH(1) and GARCH(1,1) discrete time models, to suggest an extension of the (G)ARCH concept to continuous time processes. Our “COGARCH” (continuous time GARCH) model, based on a single background driving Lévy process, is different from, though related to, other continuous time stochast...

سابقه و هدف: آب هوای یک منطقه در دوره بلندمدت را اقلیم گویند. شناسایی طبقه‌بندی اقلیمی از دیرباز مورد توجه متخصصان هواشناسی بوده است. محققان با به کارگیری روش ­های مختلف استفاده متغیرهای همچون بارش دما، زمین مناطق همگن طبقه ­بندی کرده‌اند نتایج پهنه‌بندی ارزیابی کمبود منابع مقیاس­ های کوچک بزرگ منظور پیش‌بینی اقدامات عملی برای کنترل خشکی آسیب‌پذیر به‌کار برده‌اند. هدف این تحقیق به‌‌روزرسانی تحل...

سابقه و هدف: امروزه صنعتی شدن توسعه شهرنشینی باعث آلودگی هوا در اکثر کلان‌شهرهای جهان شده است سالانه میلیون­ ها نفر به ­علت جان خود را از دست می­ دهند. ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﻣﺤﺪود ﺑﻮدن ﺷﺒﻜﻪ اﻳﺴﺘﮕﺎه‌ﻫﺎى ﭘﺎﻳﺶ آﻻﻳﻨﺪه‌ﻫﺎى ﻫﻮا ﻏﻴﺮ اﻗﺘﺼﺎدى اﻓﺰاﻳﺶ ﺗﻌﺪاد این اﻳﺴــﺘﮕﺎه‌ﻫا سطح شهرها، دﺳﺖ‌ﻳﺎﺑﻰ ﭘﻮﺷــﺶ ﻣﻜﺎﻧﻰ زﻣﺎﻧﻰ ﻣﻨﺎﺳــﺐ برای ﻧﺸﺎن دادن ﺗﻐﻴﻴﺮات ﻏﻠﻈﺖ ذرات آلاینده ﺑﺴﻴﺎر دﺷﻮار اﺳﺖ. بر اساس پژوهش حاضر با هدف تهیه نقشه ­ها...

ARCH processes and their extensions known as GARCH processes are widely accepted for modelling financial time series, in particular stochastic volatility processes. The offline estimation of ARCH and GARCH processes have been analyzed under a variety of conditions in the literature. The main contribution of this paper is a rigorous convergence analysis of a recursive estimation method for GARCH...

While ARCH/GARCH equations have been widely used to model financial market data, formal explanations for the sources of conditional volatility are scarce. This paper presents a model with the property that standard econometric tests detect ARCH/GARCH effects similar to those found in asset returns. We use evolutionary game theory to describe how agents endogenously switch among different foreca...