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Change Point Detection in Panel Linear Regression Models Based on Jump Information Criterion. [PDF]
Zhao W, Fan L, Xia Z.
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Replicable Bandits for Digital Health Interventions. [PDF]
Zhang KW +3 more
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Least squares estimates and the coverage of least squares costs
52nd IEEE Conference on Decision and Control, 2013The least squares estimate xN minimizes the sum of the squared residuals equation over a finite set of observations (Ai, bi). At x = xN, the squared residuals ∥AixN-bi∥2 are called the “empirical costs”. Intuitively, the empirical costs carry information on the probability distribution of the cost ∥AxN-b∥2 that is paid for other, yet unseen, values of (
Carè, Algo +2 more
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Asymmetric Least Squares Estimation and Testing
Econometrica, 1987This paper considers estimation and hypothesis tests for coefficients of linear regression models, where the coefficient estimates are based on location measures defined by an asymmetric least squares criterion function. These asymmetric least squares estimators have properties which are analogous to regression quantile estimators, but are much simpler
Newey, Whitney K, Powell, James L
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Fastiterative methods for least squares estimations
Numerical Algorithms, 1994The paper is a continuation of the research works of the authors in connection with solving of Toeplitz systems (or Yule-Walker type systems) by the preconditioned conjugate gradient method using circulant preconditioners. The authors propose some circulant preconditioners with the aid of the spectral density function of the given discrete-time ...
Michael K. Ng 0001, Raymond H. Chan
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Least squares parameter estimation
Automatica, 1979Abstract This article demonstrates the application of least squares for the estimation of system parameters. Analytic as well as numerical approaches are described. The model of the system dynamics is assumed in the form of regression model. Solutions are discussed for the case of white noise and correlated noise corrupting the useful output signal ...
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Minimax Estimators Dominating the Least-Squares Estimator
Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005., 2006We present several analytical and numerical results demonstrating the superiority of minimax estimators over least-squares (LS) estimation. We show that, for any bounded parameter set, a linear minimax estimator achieves lower mean-squared error than the LS estimator, over the entire parameter set.
Zvika Ben-Haim, Yonina C. Eldar
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