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We develop new asymptotically valid confidence interval estimators (CIE's) for the underlying mean of a stationary simulation process. The new estimators are weighted generalizations of Schruben's standardized time series area CIE. We show that the weighted CIE's have the same asymptotic...
Persistent link: https://www.econbiz.de/10009214300
We wish to estimate the variance of the sample mean from a continuous-time stationary stochastic process. This article expands on the results of a technical note (Goldsman and Schruben 1990) by using the theory of standardized time series to investigate weighted generalizations of Schruben's...
Persistent link: https://www.econbiz.de/10009218065
When an estimator of the variance of the sample mean is parameterized by batch size, one approach for selecting batch size is to pursue the minimal mean squared error (mse). We show that the convergence rate of the variance of the sample mean, and the bias of estimators of the variance of the...
Persistent link: https://www.econbiz.de/10009192007
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In this article, we present a general framework to construct forecasts using simulation. This framework allows us to incorporate available data into a forecasting model in order to assess parameter uncertainty through a posterior distribution, which is then used to estimate a point forecast in...
Persistent link: https://www.econbiz.de/10009319482
(r) are obtained by combining three different point estimators (classical, batch means, and jackknife) with two different … variability estimators (classical and jackknife). The performances of the point estimators are discussed by considering asymptotic … expansions for their biases and mean squared errors. Our results show that, if the run length is large enough, the jackknife …
Persistent link: https://www.econbiz.de/10009198064