N 10 30 50 100 200
δ π  RB RMSE RB RMSE RB RMSE RB RMSE RB RMSE
0.025 0.025 -0.19851 0.62720 -0.21900 1.39904 -0.21404 2.07079 -0.21983 3.99190 -0.21802 8.10129
0.05 -0.19846 0.82584 -0.21224 2.01364 -0.21294 3.23978 -0.21866 6.61699 -0.21839 12.93352
0.075 -0.19159 0.58552 -0.20734 2.16589 -0.21525 3.95608 -0.21557 6.99832 -0.21770 16.05542
0.1 -0.18630 0.47723 -0.20989 2.04705 -0.21070 3.15518 -0.21594 6.79163 -0.21745 15.11770
0.05 0.025 -0.33664 0.29684 -0.34216 1.38478 -0.34687 2.22916 -0.35037 4.84176 -0.35118 10.18286
0.05 -0.32390 0.55233 -0.34550 2.48866 -0.34682 4.21423 -0.34792 8.09808 -0.34914 16.14353
0.075 -0.31866 0.42907 -0.33918 2.58116 -0.34041 4.53962 -0.34644 10.35087 -0.35034 22.34342
0.1 -0.32452 0.57821 -0.33669 2.62008 -0.34382 5.20362 -0.34643 10.76827 -0.34634 21.27869
0.075 0.025 -0.41765 0.21261 -0.43070 1.14142 -0.43465 2.28080 -0.43728 4.62541 -0.43816 9.57794
0.05 -0.41226 0.49517 -0.43016 2.22917 -0.43729 4.09072 -0.43711 7.91928 -0.44006 17.84205
0.075 -0.41035 0.57524 -0.43316 3.24027 -0.43726 5.11599 -0.43433 10.47707 -0.43923 21.55867
0.1 -0.40325 0.52001 -0.42756 2.83587 -0.43379 5.31205 -0.43266 11.63008 -0.43582 25.09460
0.1 0.025 -0.49251 0.16253 -0.49814 0.94624 -0.50126 1.93484 -0.50360 3.98548 -0.50508 8.79043
0.05 -0.49530 0.39304 -0.49912 1.94190 -0.50125 3.65935 -0.50238 7.63380 -0.50425 17.88317
0.075 -0.47931 0.54316 -0.49485 2.29268 -0.50104 4.98767 -0.50378 10.93567 -0.50427 22.90261
0.1 -0.47330 0.44214 -0.49533 2.89089 -0.49896 5.15652 -0.50163 11.57889 -0.50280 24.79560
Table 1: Relative bias (RB) and relative mean squared error (RMSE) for the binomial model using various combinations of π, δ and N with k=25 and nl=10, l=1,2,…,N