time periods matrix delta AIC_c K p_j,1 p_j,2 p_j,3 p_j,4 p_f,1 p_f,2 p_f,3 p_f,4 p_a,1 p_a,2 p_a,3 p_a,4 83 88 97 06 HFYS 5.454 15 0.436027 0.876800 1.240695 1.000000 0.907820 0.841096 0.813322 1.000000 0.879047 0.920833 0.963305 1.000000 83 88 97 06 Y 7.884 15 0.421416 0.881932 1.266624 1.000000 0.890634 0.846024 0.808761 1.000000 0.890063 0.912542 0.956774 1.000000 83 88 97 06 CP 15.133 15 0.442761 0.930211 1.311475 1.000000 0.923940 0.873213 0.829714 1.000000 0.871607 0.891767 0.951770 1.000000 83 88 97 06 WT 4.900 15 0.505665 0.927897 1.249844 1.000000 0.931499 0.859645 0.813053 1.000000 0.862685 0.901731 0.964516 1.000000 83 88 98 06 HFYS 7.148 15 0.429823 0.910901 1.240695 1.000000 0.902534 0.838740 0.787275 1.000000 0.880878 0.918083 0.980837 1.000000 83 88 98 06 Y 10.631 15 0.410066 0.910687 1.266624 1.000000 0.885031 0.844016 0.809734 1.000000 0.892747 0.909815 0.971253 1.000000 83 88 98 06 CP 17.332 15 0.441835 0.998269 1.311475 1.000000 0.929073 0.902150 0.840065 1.000000 0.869105 0.882448 0.962701 1.000000 83 88 98 06 WT 10.993 15 0.503599 0.952243 1.249844 1.000000 0.934464 0.869142 0.844273 1.000000 0.862608 0.899034 0.971077 1.000000 83 88 99 06 HFYS 12.193 15 0.390221 0.900856 1.240668 1.000000 0.896881 0.828585 0.812927 1.000000 0.885058 0.925302 0.995627 1.000000 83 88 99 06 Y 17.131 15 0.453871 0.954507 1.266624 1.000000 0.898838 0.871431 0.872266 1.000000 0.885830 0.896773 0.976054 1.000000 83 88 99 06 CP 22.312 15 0.393237 0.990683 1.311475 1.000000 0.913073 0.872042 0.879062 1.000000 0.877938 0.888210 0.973569 1.000000 83 88 99 06 WT 17.420 15 0.487356 0.945044 1.249844 1.000000 0.924757 0.844076 0.864770 1.000000 0.866403 0.904516 0.987973 1.000000 83 88 92 97 06 HFYS 0.000 18 0.420259 0.733783 0.565133 0.934998 0.869447 0.761746 0.703244 0.641195 0.898521 0.928481 1.001675 1.067570 83 88 92 97 06 Y 3.460 18 0.465414 0.786584 0.602937 0.966574 0.881910 0.804858 0.700928 0.613350 0.893917 0.916377 0.988410 1.053429 83 88 92 97 06 CP 6.385 18 0.480683 0.817855 0.620841 0.997850 0.903183 0.826835 0.725071 0.627513 0.881781 0.889185 0.965260 1.029118 83 88 92 97 06 WT 6.197 18 0.453086 0.730926 0.591571 0.894193 0.887324 0.754744 0.669688 0.585000 0.884436 0.921463 0.989244 1.077052 83 88 93 97 06 HFYS 7.341 18 0.420301 0.738746 0.591052 0.985857 0.870753 0.753696 0.723579 0.657158 0.897598 0.933709 1.000182 1.052885 83 88 93 97 06 Y 10.365 18 0.492641 0.827421 0.665989 1.053952 0.890362 0.819551 0.732487 0.645168 0.888607 0.908334 0.978175 1.029429 83 88 93 97 06 CP 14.262 18 0.505646 0.850493 0.675366 1.079853 0.910487 0.834368 0.754301 0.656523 0.877331 0.886726 0.961297 1.013218 83 88 93 97 06 WT 9.436 18 0.490525 0.793777 0.681551 0.998291 0.905194 0.783306 0.706682 0.621233 0.875988 0.914670 0.975692 1.045069 83 88 92 98 06 HFYS 4.161 18 0.419691 0.740447 0.622061 0.973835 0.871252 0.760767 0.700039 0.646073 0.898546 0.928910 0.998442 1.075066 83 88 92 98 06 Y 8.877 18 0.451181 0.782665 0.635138 0.981668 0.873992 0.783780 0.683507 0.615319 0.898508 0.921812 0.986398 1.069199 83 88 92 98 06 CP 9.504 18 0.428030 0.772405 0.611382 0.967543 0.882126 0.779578 0.689941 0.608461 0.893234 0.900546 0.968983 1.055823 83 88 92 98 06 WT 17.248 18 0.551788 0.777753 0.798335 1.104239 0.908977 0.791934 0.718912 0.670025 0.873825 0.901654 0.958354 1.030937 83 88 93 98 06 HFYS 10.820 18 0.394785 0.712343 0.626689 0.965979 0.864493 0.737554 0.708245 0.647362 0.901772 0.940875 1.006354 1.075066 83 88 93 98 06 Y 16.075 18 0.523163 0.868455 0.822903 1.190558 0.896575 0.835390 0.757230 0.705933 0.885139 0.897525 0.951294 1.005103 83 88 93 98 06 CP 17.738 18 0.478702 0.827905 0.716197 1.085364 0.895664 0.800845 0.726639 0.649243 0.885269 0.892969 0.959292 1.030286 83 88 93 98 06 WT 17.327 18 0.543276 0.828868 0.868785 1.163585 0.920029 0.814559 0.747277 0.696729 0.868967 0.901950 0.951589 1.011105 83 88 92 99 06 HFYS 12.072 18 0.433173 0.730802 0.677697 1.034355 0.867913 0.756858 0.694422 0.668270 0.898348 0.927133 0.997734 1.075066 83 88 92 99 06 Y 17.105 18 0.469660 0.778792 0.683542 1.013050 0.879917 0.794041 0.678822 0.628243 0.895028 0.917536 0.989806 1.075066 83 88 92 99 06 CP 16.272 18 0.378070 0.694817 0.577759 0.896976 0.870762 0.753447 0.653283 0.593091 0.899860 0.911157 0.987050 1.080719 83 88 92 99 06 WT 22.803 18 0.593871 0.796466 0.935111 1.249844 0.922561 0.825219 0.775820 0.747978 0.867635 0.888402 0.937884 1.004985 83 88 93 99 06 HFYS 15.595 18 0.408557 0.704838 0.690672 1.013053 0.865149 0.738241 0.702956 0.662766 0.900854 0.938823 1.007385 1.075066 83 88 93 99 06 Y 20.396 18 0.550049 0.866763 0.936861 1.266319 0.908880 0.859963 0.792318 0.751993 0.879201 0.890128 0.938836 0.992311 83 88 93 99 06 CP 22.458 18 0.596784 0.916436 0.963921 1.311475 0.943424 0.903748 0.826815 0.777552 0.861720 0.865923 0.926912 0.982694 83 88 93 99 06 WT 21.272 18 0.574167 0.827641 0.963880 1.249723 0.930111 0.837859 0.785624 0.745671 0.864605 0.893592 0.942496 0.999741