Kommutationszahlen i=0.035 (3.5 Prozent) für Frauen Version 1.0 Der Berechnung liegt die Sterbetafel 2002/04 des Statistischen Bundesamtes zugrunde (Näheres dazu in der Lehrveranstaltung) x qx lx dx Dx Nx Cx Mx [1,] 0 3.796937e-03 100000.000 379.693657 100000.00000 2.749980e+06 366.853774 7005.49278 [2,] 1 3.581415e-04 99620.306 35.678163 96251.50371 2.649980e+06 33.305947 6638.63900 [3,] 2 1.977132e-04 99584.628 19.689199 92963.31600 2.553729e+06 17.758530 6605.33305 [4,] 3 1.716468e-04 99564.939 17.090001 89801.87045 2.460766e+06 14.892949 6587.57452 [5,] 4 1.291553e-04 99547.849 12.857137 86750.19928 2.370964e+06 10.825364 6572.68158 [6,] 5 1.307221e-04 99534.992 13.011427 83805.79230 2.284214e+06 10.584804 6561.85621 [7,] 6 9.214561e-05 99521.980 9.170514 80961.19519 2.200408e+06 7.207941 6551.27141 [8,] 7 8.709010e-05 99512.810 8.666581 78216.16906 2.119447e+06 6.581501 6544.06347 [9,] 8 9.599149e-05 99504.143 9.551551 75564.59633 2.041230e+06 7.008269 6537.48197 [10,] 9 6.461645e-05 99494.592 6.428988 73002.26355 1.965666e+06 4.557630 6530.47370 [11,] 10 8.409250e-05 99488.163 8.366209 70529.03034 1.892664e+06 5.730399 6525.91607 [12,] 11 9.377880e-05 99479.797 9.329096 68138.26027 1.822134e+06 6.173840 6520.18567 [13,] 12 8.492834e-05 99470.467 8.447862 65827.89405 1.753996e+06 5.401598 6514.01183 [14,] 13 9.689082e-05 99462.020 9.636956 63596.42840 1.688168e+06 5.953536 6508.61023 [15,] 14 1.165241e-04 99452.383 11.588601 61439.87101 1.624572e+06 6.917127 6502.65669 [16,] 15 1.786700e-04 99440.794 17.767087 59355.27708 1.563132e+06 10.246384 6495.73957 [17,] 16 2.117747e-04 99423.027 21.055279 57337.84742 1.503777e+06 11.732081 6485.49318 [18,] 17 2.200196e-04 99401.972 21.870380 55387.15431 1.446439e+06 11.774163 6473.76110 [19,] 18 2.875920e-04 99380.101 28.580925 53502.38459 1.391052e+06 14.866531 6461.98694 [20,] 19 2.772057e-04 99351.520 27.540811 51678.25868 1.337549e+06 13.841072 6447.12041 [21,] 20 3.158566e-04 99323.980 31.372139 49916.84364 1.285871e+06 15.233398 6433.27934 [22,] 21 2.446706e-04 99292.607 24.293981 48213.60104 1.235954e+06 11.397537 6418.04594 [23,] 22 2.707409e-04 99268.313 26.875989 46571.79187 1.187741e+06 12.182500 6406.64840 [24,] 23 2.609064e-04 99241.437 25.892723 44984.71786 1.141169e+06 11.339903 6394.46590 [25,] 24 2.716779e-04 99215.545 26.954674 43452.15561 1.096184e+06 11.405789 6383.12600 [26,] 25 2.460666e-04 99188.590 24.406998 41971.35326 1.052732e+06 9.978500 6371.72021 [27,] 26 2.799590e-04 99164.183 27.761910 40542.05363 1.010761e+06 10.966294 6361.74171 [28,] 27 2.914320e-04 99136.421 28.891523 39160.10002 9.702186e+05 11.026575 6350.77541 [29,] 28 2.968213e-04 99107.530 29.417224 37824.81885 9.310585e+05 10.847547 6339.74884 [30,] 29 2.927083e-04 99078.112 29.000981 36534.87115 8.932337e+05 10.332423 6328.90129 [31,] 30 3.274171e-04 99049.111 32.430371 35289.05999 8.566988e+05 11.163518 6318.56887 [32,] 31 3.572091e-04 99016.681 35.369659 34084.54662 8.214097e+05 11.763585 6307.40535 [33,] 32 3.555764e-04 98981.311 35.195417 32920.16552 7.873252e+05 11.309791 6295.64177 [34,] 33 3.995760e-04 98946.116 39.536493 31795.61341 7.544050e+05 12.275134 6284.33198 [35,] 34 4.688200e-04 98906.579 46.369380 30708.12430 7.226094e+05 13.909741 6272.05684 [36,] 35 5.119562e-04 98860.210 50.612099 29655.77557 6.919013e+05 14.669042 6258.14710 [37,] 36 5.654600e-04 98809.598 55.872875 28638.25422 6.622455e+05 15.646171 6243.47806 [38,] 37 6.132173e-04 98753.725 60.557496 27654.16467 6.336073e+05 16.384554 6227.83189 [39,] 38 6.995140e-04 98693.168 69.037252 26702.61512 6.059531e+05 18.047201 6211.44733 [40,] 39 8.002606e-04 98624.130 78.925009 25781.58094 5.792505e+05 19.934284 6193.40013 [41,] 40 8.699819e-04 98545.205 85.732540 24889.80575 5.534689e+05 20.921429 6173.46585 [42,] 41 9.884870e-04 98459.473 97.325914 24027.20007 5.285791e+05 22.947416 6152.54442 [43,] 42 1.124672e-03 98362.147 110.625157 23191.73864 5.045519e+05 25.201063 6129.59700 [44,] 43 1.298020e-03 98251.522 127.532448 22382.27589 4.813602e+05 28.070187 6104.39594 [45,] 44 1.392008e-03 98123.989 136.589389 21597.31714 4.589779e+05 29.046996 6076.32575 [46,] 45 1.586009e-03 97987.400 155.408920 20837.92609 4.373806e+05 31.931539 6047.27876 [47,] 46 1.795981e-03 97831.991 175.704389 20101.33038 4.165426e+05 34.880778 6015.34722 [48,] 47 1.944646e-03 97656.287 189.906912 19386.69447 3.964413e+05 36.425371 5980.46644 [49,] 48 2.119935e-03 97466.380 206.622375 18694.68040 3.770546e+05 38.291309 5944.04107 [50,] 49 2.406722e-03 97259.757 234.077190 18024.20183 3.583599e+05 41.912311 5905.74976 [51,] 50 2.526629e-03 97025.680 245.147914 17372.77545 3.403357e+05 42.410204 5863.83745 [52,] 51 2.777242e-03 96780.532 268.782974 16742.88008 3.229630e+05 44.926601 5821.42724 [53,] 52 3.023205e-03 96511.749 291.774847 16131.76913 3.062201e+05 47.120437 5776.50064 [54,] 53 3.157542e-03 96219.974 303.818651 15539.12993 2.900883e+05 47.406243 5729.38021 [55,] 54 3.478241e-03 95916.156 333.619462 14966.24586 2.745492e+05 50.295848 5681.97396 [56,] 55 3.786859e-03 95582.536 361.957599 14409.84508 2.595829e+05 52.722757 5631.67811 [57,] 56 4.014721e-03 95220.579 382.284023 13869.83288 2.451731e+05 53.800487 5578.95536 [58,] 57 4.463086e-03 94838.295 423.271490 13347.00423 2.313033e+05 57.554426 5525.15487 [59,] 58 4.815631e-03 94415.023 454.667908 12838.10183 2.179563e+05 59.732909 5467.60044 [60,] 59 5.083782e-03 93960.355 477.673983 12344.23021 2.051182e+05 60.633215 5407.86754 [61,] 60 5.504253e-03 93482.681 514.552322 11866.15926 1.927739e+05 63.105644 5347.23432 [62,] 61 5.627351e-03 92968.129 523.164281 11401.78253 1.809078e+05 61.992107 5284.12868 [63,] 62 6.292896e-03 92444.965 581.746528 10954.22290 1.695060e+05 66.602689 5222.13657 [64,] 63 6.801836e-03 91863.218 624.838578 10517.18755 1.585518e+05 69.117091 5155.53388 [65,] 64 7.312818e-03 91238.380 667.209644 10092.41678 1.480346e+05 71.308217 5086.41679 [66,] 65 8.167374e-03 90571.170 739.728636 9679.81910 1.379422e+05 76.385222 5015.10857 [67,] 66 9.056583e-03 89831.441 813.565875 9276.09700 1.282623e+05 81.168830 4938.72335 [68,] 67 1.016499e-02 89017.875 904.866191 8881.24373 1.189862e+05 87.224919 4857.55452 [69,] 68 1.143757e-02 88113.009 1007.798794 8493.68690 1.101050e+05 93.861977 4770.32960 [70,] 69 1.275818e-02 87105.210 1111.303674 8112.59879 1.016113e+05 100.001903 4676.46762 [71,] 70 1.421353e-02 85993.907 1222.277342 7738.25780 9.349871e+04 106.268592 4576.46572 [72,] 71 1.621227e-02 84771.629 1374.340901 7370.30899 8.576045e+04 115.448764 4470.19713 [73,] 72 1.802911e-02 83397.289 1503.578930 7005.62273 7.839014e+04 122.033958 4354.74836 [74,] 73 2.037236e-02 81893.710 1668.367992 6646.68365 7.138452e+04 130.829585 4232.71441 [75,] 74 2.276171e-02 80225.342 1826.066222 6291.08699 6.473784e+04 138.353544 4101.88482 [76,] 75 2.592753e-02 78399.275 2032.699518 5939.99137 5.844675e+04 148.801257 3963.53128 [77,] 76 2.894834e-02 76366.576 2210.685951 5590.32084 5.250676e+04 156.358004 3814.73002 [78,] 77 3.253251e-02 74155.890 2412.477335 5244.91817 4.691644e+04 164.860251 3658.37202 [79,] 78 3.706211e-02 71743.413 2658.962496 4902.69354 4.167152e+04 175.559598 3493.51177 [80,] 79 4.206615e-02 69084.450 2906.116709 4561.34237 3.676882e+04 185.389472 3317.95217 [81,] 80 4.871436e-02 66178.333 3223.835452 4221.70461 3.220748e+04 198.703050 3132.56269 [82,] 81 5.574389e-02 62954.498 3509.328463 3880.23860 2.798578e+04 208.985106 2933.85964 [83,] 82 6.462412e-02 59445.169 3841.592045 3540.03769 2.410554e+04 221.035592 2724.87454 [84,] 83 7.165792e-02 55603.577 3984.436722 3199.29068 2.056550e+04 221.501949 2503.83895 [85,] 84 8.036154e-02 51619.141 4148.193561 2869.60016 1.736621e+04 222.807231 2282.33700 [86,] 85 8.682463e-02 47470.947 4121.647200 2549.75331 1.449661e+04 213.895049 2059.52977 [87,] 86 1.008144e-01 43349.300 4370.234262 2249.63472 1.194686e+04 219.126189 1845.63472 [88,] 87 1.178777e-01 38979.066 4594.761819 1954.43393 9.697222e+03 222.593369 1626.50853 [89,] 88 1.315270e-01 34384.304 4522.465249 1665.74859 7.742789e+03 211.682086 1403.91516 [90,] 89 1.482248e-01 29861.839 4426.265163 1397.73684 6.077040e+03 200.173207 1192.23307 [91,] 90 1.634619e-01 25435.573 4157.747506 1150.29717 4.679303e+03 181.671282 992.05987 [92,] 91 1.874000e-01 21277.826 3987.464337 929.72695 3.529006e+03 168.338957 810.38859 [93,] 92 2.053900e-01 17290.362 3551.266736 729.94795 2.599279e+03 144.854090 642.04963 [94,] 93 2.239908e-01 13739.095 3077.431370 560.40963 1.869331e+03 121.281761 497.19554 [95,] 94 2.431406e-01 10661.663 2592.282834 420.17682 1.308921e+03 98.707273 375.91378 [96,] 95 2.627765e-01 8069.381 2120.443264 307.26067 8.887446e+02 78.010503 277.20651 [97,] 96 2.828356e-01 5948.937 1682.571116 218.85971 5.814839e+02 59.808030 199.19600 [98,] 97 3.032550e-01 4266.366 1293.796884 151.65063 3.626242e+02 44.433633 139.38797 [99,] 98 3.239722e-01 2972.569 963.029785 102.08871 2.109736e+02 31.955461 94.95434 [100,] 99 3.449253e-01 2009.540 693.140969 66.68098 1.088849e+02 22.222176 62.99888 [101,] 100 1.000000e+00 1316.399 1316.398644 42.20389 4.220389e+01 40.776702 40.77670