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| \usepackage{amsmath} |
| \usepackage{amssymb} |
| \newcommand{\E}{\mathbb{E}} |
| \newcommand{\Var}[1]{\mathrm{op} |
| \operatorname{Var}\left[#1\right]} |
| \newcommand{\Pro}[1]{\mathbb{P}\left(#1\right)} |
| \newcommand{\Ind}{\mathbf{1}} |
| \newcommand{\di}{\operatorname{diag}} |
| \newcommand{\tr}{\operatorname{Tr}} |
| \newcommand{\thetapop}{\theta^*_{\rm{pop}}} |
| \newcommand{\thetaperfok}{\theta_0^{\text{perfo}}} |
| \newcommand{\thetas}{\theta^*} |
| \newcommand{\thetainf}{\theta^{\infty}} |
| \newcommand{\N}{\mathcal{N}} |
| \newcommand{\R}{\mathbb{R}} |
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| \newcommand{\D}{\mathcal{D}} |
| \usepackage{amsthm} |
| \usepackage{graphicx} |
| \usepackage{subcaption} |
| \newcommand{\fixedthetaperf}{\theta^\infty_{\mathrm{perf}}} |
| \newcommand{\fixedthetaeq}{\theta^\infty_{\mathrm{eq}}} |
| \newcommand{\fixedthetaeqtop}{\theta^{\infty \top}_{\mathrm{eq}}} |
| \newcommand{\thetaeq}{\theta_{\mathrm{eq}}} |
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| \newcommand{\yeq}{y_{\mathrm{eq}}} |
| \newcommand{\thetapopT}{(\thetapop)^{\top}} |
| \newcommand{\fixedthetaeqT}{{\fixedthetaeq}^{\top}} |
| \newcommand{\fixedthetaperfT}{{\fixedthetaperf}^{\top}} |
| \newcommand{\fixedriskeq}{\mathcal R_{\mathrm{eq}}} |
| \newcommand{\ofixedriskeq}{\overline{\mathcal R}_{\mathrm{eq}}} |
| \newcommand{\fixedriskeqz}{\mathcal R_{\mathrm{eq}, D=0}} |
| \newcommand{\fixedriskeqs}{\mathcal R_{\mathrm{eq}}^*} |
| \newcommand{\lambdaeqs}{\lambda^*_{\mathrm{eq}}} |
| \newcommand{\fixedriskeqsz}{\mathcal R_{\mathrm{eq}, D=0}^*} |
| \newcommand{\lambdaeqsz}{\lambda^*_{\mathrm{eq}, D=0}} |
| \newcommand{\fixedriskeqa}{\mathcal R_{\mathrm{eq}, 1}} |
| \newcommand{\fixedriskeqb}{\mathcal R_{\mathrm{eq}, 2}} |
| \newcommand{\tfixedriskeqa}{\widetilde{\mathcal R}_{\mathrm{eq}, 1}} |
| \newcommand{\tfixedriskeqb}{\widetilde{\mathcal R}_{\mathrm{eq}, 2}} |
| \newcommand{\bfixedriskeq}{{\widehat{\mathcal R}}_{\mathrm{eq}}} |
| \newcommand{\tfixedriskeq}{{\widetilde{\mathcal R}}_{\mathrm{eq}}} |
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