Update ComparisonOfSampleGuarantees.m

Author: DavidUmsonst

MATLAB Code/ComparisonOfSampleGuarantees.m

@@ -5,19 +5,19 @@
 epsilon_diff=0.01; % allowed deviation from desired quantile
 N_beta=zeros(1,n_gamma);
 N_DKW=zeros(1,n_gamma);
-N_vys=zeros(1,n_gamma);
+N_VP=zeros(1,n_gamma);
 
 % calculate the sample guarantees for several values of gamma
 for i=1:n_gamma
     [~,den_gamma]=rat(gamma_iter(i));
     N_beta(i)=FiniteSampleBoundBetaConfInt(gamma_iter(i),1-rho_guarantee,epsilon_diff);
     N_DKW(i)=ceil(log(2/rho_guarantee)/(2*epsilon_diff^2*den_gamma))*den_gamma;
-    N_vys(i)=ceil(1/den_gamma*((4/9)*gamma_iter(i)*(1-gamma_iter(i))/(epsilon_diff^2*rho_guarantee)-1))*den_gamma-1;
+    N_VP(i)=ceil(1/den_gamma*((4/9)*gamma_iter(i)*(1-gamma_iter(i))/(epsilon_diff^2*rho_guarantee)-1))*den_gamma-1;
 end
 % plot finite sample guarantees
 figure
-plot(gamma_iter,N_DKW,'-.',gamma_iter,N_vys,'r--',gamma_iter,N_beta,'k')
+plot(gamma_iter,N_DKW,'-.',gamma_iter,N_VP,'r--',gamma_iter,N_beta,'k')
 xlabel('$\gamma$','Interpreter','latex')
 ylabel('Sample size','Interpreter','latex')
-legend('$N_{\mathrm{DKW}}$','$N_{\mathrm{vys}}$','$N_{\mathrm{beta}}$','Interpreter','latex')
+legend('$N_{\mathrm{DKW}}$','$N_{\mathrm{VP}}$','$N_{\mathrm{beta}}$','Interpreter','latex')