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Spatial autoregression model:strong consistency
Spatial autoregression Unit roots Two-parameter martingale
2015/12/11
Let ( ˆ n; ˆn) denote the Gauss–Newton estimator of the parameter (; ) in the autoregression model Zij = Zi−1; j + Zi; j−1 − Zi−1; j−1 + ij. It is sho...
Di€usion approximation for nonparametric autoregression
Nonparametric experiments de® ciency distance likelihood ratio process stochastic di€ erential equation autoregression di€ usion sampling asymptotic su ciency
2015/8/25
A nonparametric statistical model of small di€usion type is compared with its discretization by a stochastic Euler di€erence scheme. It is shown that the discrete and continuous models are a...
A no-arbitrage vector autoregression of term structure dynamics with macroeconomic and latent variables
erm structure dynamics macroeconomic
2015/7/23
We describe the joint dynamics of bond yields and macroeconomic variables in a Vector
Autoregression, where identifying restrictions are based on the absence of arbitrage. Using a
term structure mod...
Second-order continuous-time non-stationary Gaussian autoregression
Lyapunov Exponent Maximum Likelihood Estimation Asymptotic Mixed Normality Non-Normal Limit Distribution Rate of Convergence
2012/6/27
The objective of the paper is to identify and investigate all possible types of asymptotic behavior for the maximum likelihood estimators of the unknown parameters in the second-order linear stochasti...
Bayesian Cointegrated Vector Autoregression models incorporating Alpha-stable noise for inter-day price movements via Approximate Bayesian Computation
Cointegrated Vector Autoregression -stable Approximate Bayesian Computation
2010/10/21
We consider a statistical model for pairs of traded assets, based on a Cointegrated Vector Auto Regression (CVAR) Model. We extend standard CVAR models to incorporate estimation of model parameters in...
Effect of exchange rate on dried apricot export in Turkey: A vector autoregression (VAR) analysis
Dried apricot exchange rate export VAR
2011/1/12
Volatilities, which occur in exchange rates, cause variability in revenues also obtained from export. This study aimed to explore the relationship between variability in exchange rate and export value...
MINIMALLY BIASED NONPARAMETRIC REGRESSION AND AUTOREGRESSION
nonparametric regression autoregression Fourier transform
2009/2/25
A nonparametric regression estimator is introduced which adapts to the smoothness
of the unknown function being estimated. This property allows the new estimator
to automatically achieve minimal bia...
Recursive Least Squares Estimator with Multiple Exponential Windows in Vector Autoregression
exponential window rectangular window
2007/12/11
In the parameter tracking of time-varying systems, the ordinary method is weighted least squares with the rectangular window or the exponential window. In this paper we propose a new kind of sliding w...
Asymptotically Optimal Estimator of the Parameter of Semi-Linear Autoregression
Martingale estimator optimization convergence
2010/4/30
The difference equations k = af(k−1) + "k, where ("k) is a square
integrable difference martingale, and the differential equation d =
−af()dt + d, where is a square integrable mar...
In this short preliminary note I apply the methodology of gametheoretic
probability to calculating non-asymptotic confidence intervals
for the coefficient of a simple first order scalar autoregressi...