Asymptotic Variance

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Jinyong Hahn - One of the best experts on this subject based on the ideXlab platform.

Johan Lyhagen - One of the best experts on this subject based on the ideXlab platform.

Marvin K. Nakayama - One of the best experts on this subject based on the ideXlab platform.

  • Confidence intervals for quantiles with standardized time series
    2013 Winter Simulations Conference (WSC), 2013
    Co-Authors: James M. Calvin, Marvin K. Nakayama
    Abstract:

    Schruben (1983) developed standardized time series (STS) methods to construct confidence intervals (CIs) for the steady-state mean of a stationary process. STS techniques cancel out the Variance constant in the Asymptotic distribution of the centered and scaled estimator, thereby eliminating the need to consistently estimate the Asymptotic Variance to obtain a CI. This is desirable since estimating the Asymptotic Variance in steady-state simulations presents nontrivial challenges. Difficulties also arise in estimating the Asymptotic Variance of a quantile estimator. We show that STS methods can be used to build CIs for a quantile for the case of crude Monte Carlo (i.e., no Variance reduction) with independent and identically distributed outputs. We present numerical results comparing CIs for quantiles using STS to other procedures.

Giorgio Picci - One of the best experts on this subject based on the ideXlab platform.

  • ESTIMATING THE Asymptotic Variance OF CLOSED LOOP SUBSPACE ESTIMATORS
    IFAC Proceedings Volumes, 2020
    Co-Authors: Alessandro Chiuso, Giorgio Picci
    Abstract:

    Abstract Subspace identification for closed loop systems has been recently studied by several authors. Recent results are available which express the Asymptotic Variance of the estimated parameters (and hence of any system invariant) as a function of the “true„ underlying system parameters and of certain conditional coVariance matrices. When it comes to using these formulas in practice one is faced with the problem of computing an estimator for the Variance from input-output data alone. In this paper we discuss this problem, we propose an algorithm which computes an estimate of the Variance from data alone and we show, through some simple simulation examples, how this estimate behaves as compared both to the “true„ Asymptotic Variance and to its Monte Carlo estimate.

  • numerical conditioning and Asymptotic Variance of subspace estimates
    Automatica, 2004
    Co-Authors: Alessandro Chiuso, Giorgio Picci
    Abstract:

    New formulas for the Asymptotic Variance of the parameter estimates in subspace identification, show that the accuracy of the parameter estimates depends on certain indices of 'near collinearity' of the state and future input subspaces of the system to be identified. This complements the numerical conditioning analysis of subspace methods presented in the companion paper (On the ill-conditioning of subspace identification with inputs, Automatica, doi:10.1016/j.automatica.2003.11.009).

  • the Asymptotic Variance of subspace estimates
    Journal of Econometrics, 2004
    Co-Authors: Alessandro Chiuso, Giorgio Picci
    Abstract:

    Abstract We give new simple general expressions for the Asymptotic coVariance of the estimated system parameters (A,B,C,D) in subspace identification. The formulas can be applied to a whole class of subspace methods including N4SID, MOESP, CVA, etc. The Asymptotic expressions highlight how the conditioning of the estimation problem influences the accuracy of the estimates.

B G Quinn - One of the best experts on this subject based on the ideXlab platform.