function [sigmas, vars, H0_mean, H0_max, H1_mean, H1_max] = get_sigma_var(recovery_results, sigma_w2, x)

    sz = size(recovery_results);
    trail_times = sz(2);

    sigmas = zeros(2, trail_times);
    vars = zeros(2, trail_times);
    id = 1;

    for T = 1:trail_times

        x_0_hat = squeeze(recovery_results(1, T, :));
        x_1_hat = squeeze(recovery_results(2, T, :)) - x;

        if anynan(x_1_hat)
            continue;
        end

        % if sigma_w2(2, T) > 0.1
        %     continue;
        % end

        sigmas(1, id) = sigma_w2(1, T);
        sigmas(2, id) = sigma_w2(2, T);

        vars(1, id) = var(x_0_hat);
        vars(2, id) = var(x_1_hat);

        id = id + 1;
    end
    sigmas(:, end - trail_times + id: end) = [];
    vars(:, end - trail_times + id: end) = [];

    REE = abs(vars - sigmas) ./ vars;
    H0_mean = mean(REE(1, :));
    H0_max = max(REE(1, :));
    H1_mean = mean(REE(2, :));
    H1_max = max(REE(2, :));
    
    if 1 == 9
        figure;
        subplot(211);
        plot(sigmas(1, :));
        hold on;
        plot(vars(1, :));
        xlabel("Mento Carlo Times");
        ylabel("\sigma^2")
        legend("\sigma^2 (CROD)", "\sigma_w^2 (Expr)");
        subplot(212);
        plot(sigmas(2, :));
        hold on;
        plot(vars(2, :));
        xlabel("Mento Carlo Times");
        ylabel("\sigma^2");
        legend("\sigma^2 (CROD)", "\sigma_w^2 (Expr)");
    
        figure;
        subplot(211);
        plot(REE(1, :));
        yline(H0_mean);
        xlabel("Mento Carlo Times");
        ylabel("REE");
        legend("mean = " + string(H0_mean), "max = " + string(H0_max));
        subplot(212);
        plot(REE(2, :));
        yline(H1_mean);
        xlabel("Mento Carlo Times");
        ylabel("REE");
        legend("mean = " + string(H1_mean), "max = " + string(H1_max));
    end
end