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consistency (which is a prerequisite for proving asymptotic normality) is challenging due to non-uniform convergence of the … components. In contrast, we establish consistency and asymptotic normality of parameter estimates related to the stochastic …
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Correlation in time series has recently recieved a lot of attentions. Its usage has been getting an important role in Social Science and Finance. For example, pair trading in Finance is interested with the correlation between stock prices, returns etc. In general, Pearsonís correlation...
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We present a new method for estimating the endpoint of a unidimensional sample when the distribution function decreases at a polynomial rate to zero in the neighborhood of the endpoint. The estimator is based on the use of high-order moments of the variable of interest. It is assumed that the...
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generalize the theory of SLSE to regression models with autocorrelated errors. Under certain regularity conditions, we establish … the consistency and asymptotic normality of the proposed estimator and provide a simulation study to compare its … giving relatively small standard error and bias (or the mean square error) in estimating parameters of such regression models …
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The robust estimation for Poisson autoregressive models is studied. As a robust estimator, a minimum density power divergence estimator (MDPDE) is considered. It is shown that under regularity conditions, the MDPDE is strongly consistent and asymptotically normal. Simulation results are provided...
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