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Systemtheoretische Modelle und Algorithmen zur Analyse angedacht.

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Jochen Hanisch-Johannsen
2025-09-03 21:38:18 +02:00
parent 6d8e50e2a3
commit 55812bc5d6
16 changed files with 4033 additions and 505 deletions
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export/fib_signed_series.csv Normal file
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@ -0,0 +1,130 @@
rank,effect,fib,fit,resid
0,1.34,1.0,0.2652215432329295,1.0747784567670706
1,1.3,1.0,0.2652215432329295,1.0347784567670706
2,1.28,2.0,0.2652215432329295,1.0147784567670706
3,1.09,3.0,0.2652215432329295,0.8247784567670706
4,1.01,5.0,0.2652215432329295,0.7447784567670706
5,0.96,8.0,0.2652215432329295,0.6947784567670705
6,0.96,13.0,0.2652215432329295,0.6947784567670705
7,0.94,21.0,0.2652215432329295,0.6747784567670705
8,0.85,34.0,0.2652215432329295,0.5847784567670704
9,0.84,55.0,0.2652215432329295,0.5747784567670704
10,0.82,89.0,0.2652215432329295,0.5547784567670704
11,0.74,144.0,0.2652215432329295,0.4747784567670705
12,0.73,233.0,0.2652215432329295,0.46477845676707047
13,0.66,377.0,0.2652215432329295,0.3947784567670705
14,0.66,610.0,0.2652215432329295,0.3947784567670705
15,0.64,987.0,0.2652215432329295,0.3747784567670705
16,0.63,1597.0,0.2652215432329295,0.3647784567670705
17,0.62,2584.0,0.2652215432329295,0.3547784567670705
18,0.62,4181.0,0.2652215432329295,0.3547784567670705
19,0.61,6765.0,0.2652215432329295,0.3447784567670705
20,0.61,10946.0,0.2652215432329295,0.3447784567670705
21,0.56,17711.0,0.2652215432329295,0.29477845676707054
22,0.55,28657.0,0.2652215432329295,0.28477845676707053
23,0.54,46368.0,0.2652215432329295,0.2747784567670705
24,0.53,75025.0,0.2652215432329295,0.2647784567670705
25,0.52,121393.0,0.2652215432329295,0.2547784567670705
26,0.51,196418.0,0.2652215432329295,0.2447784567670705
27,0.5,317811.0,0.2652215432329295,0.2347784567670705
28,0.5,514229.0,0.2652215432329295,0.2347784567670705
29,0.49,832040.0,0.2652215432329295,0.22477845676707048
30,0.48,1346269.0,0.2652215432329295,0.21477845676707047
31,0.46,2178309.0,0.2652215432329295,0.1947784567670705
32,0.46,3524578.0,0.2652215432329295,0.1947784567670705
33,0.45,5702887.0,0.2652215432329295,0.1847784567670705
34,0.44,9227465.0,0.2652215432329295,0.1747784567670705
35,0.44,14930352.0,0.2652215432329295,0.1747784567670705
36,0.43,24157817.0,0.2652215432329295,0.16477845676707048
37,0.41,39088169.0,0.2652215432329295,0.14477845676707046
38,0.41,63245986.0,0.2652215432329295,0.14477845676707046
39,0.4,102334155.0,0.2652215432329295,0.1347784567670705
40,0.4,165580141.0,0.2652215432329295,0.1347784567670705
41,0.39,267914296.0,0.2652215432329295,0.1247784567670705
42,0.39,433494437.0,0.2652215432329295,0.1247784567670705
43,0.37,701408733.0,0.2652215432329295,0.10477845676707048
44,0.37,1134903170.0,0.2652215432329295,0.10477845676707048
45,0.36,1836311903.0,0.2652215432329295,0.09477845676707047
46,0.35,2971215073.0,0.2652215432329295,0.08477845676707046
47,0.35,4807526976.0,0.2652215432329295,0.08477845676707046
48,0.33,7778742049.0,0.2652215432329295,0.0647784567670705
49,0.33,12586269025.0,0.26522154323292946,0.06477845676707056
50,0.3,20365011074.0,0.26522154323292946,0.03477845676707053
51,0.29,32951280099.0,0.2652215432329294,0.024778456767070578
52,0.27,53316291173.0,0.26522154323292935,0.004778456767070671
53,0.27,86267571272.0,0.26522154323292924,0.004778456767070782
54,0.26,139583862445.0,0.265221543232929,-0.005221543232929005
55,0.26,225851433717.0,0.26522154323292874,-0.005221543232928727
56,0.25,365435296162.0,0.2652215432329283,-0.015221543232928292
57,0.24,591286729879.0,0.2652215432329275,-0.025221543232927524
58,0.24,956722026041.0,0.26522154323292624,-0.025221543232926247
59,0.23,1548008755920.0,0.26522154323292424,-0.03522154323292423
60,0.23,2504730781961.0,0.265221543232921,-0.03522154323292101
61,0.22,4052739537881.0,0.26522154323291575,-0.045221543232915745
62,0.22,6557470319842.0,0.26522154323290725,-0.04522154323290725
63,0.21,10610209857723.0,0.26522154323289343,-0.05522154323289344
64,0.21,17167680177565.0,0.26522154323287117,-0.05522154323287118
65,0.21,27777890035288.0,0.26522154323283514,-0.05522154323283515
66,0.2,44945570212853.0,0.2652215432327768,-0.06522154323277679
67,0.2,72723460248141.0,0.2652215432326824,-0.06522154323268237
68,0.19,117669030460994.0,0.26522154323252967,-0.07522154323252966
69,0.19,190392490709135.0,0.26522154323228253,-0.07522154323228253
70,0.18,308061521170129.0,0.2652215432318827,-0.08522154323188269
71,0.18,498454011879264.0,0.2652215432312357,-0.08522154323123571
72,0.18,806515533049393.0,0.26522154323018887,-0.08522154323018888
73,0.17,1304969544928657.0,0.26522154322849506,-0.09522154322849505
74,0.17,2111485077978050.0,0.26522154322575436,-0.09522154322575435
75,0.17,3416454622906707.0,0.2652215432213199,-0.0952215432213199
76,0.16,5527939700884757.0,0.26522154321414476,-0.10522154321414476
77,0.16,8944394323791464.0,0.26522154320253516,-0.10522154320253516
78,0.16,1.447233402467622e+16,0.2652215431837504,-0.1052215431837504
79,0.14,2.3416728348467684e+16,0.26522154315335605,-0.12522154315335604
80,0.13,3.78890623731439e+16,0.265221543104177,-0.135221543104177
81,0.1,6.130579072161158e+16,0.26522154302460355,-0.16522154302460354
82,0.1,9.919485309475549e+16,0.26522154289585104,-0.16522154289585103
83,0.09,1.6050064381636707e+17,0.26522154268752507,-0.17522154268752507
84,0.09,2.5969549691112256e+17,0.26522154235044665,-0.17522154235044665
85,0.09,4.2019614072748966e+17,0.2652215418050422,-0.1752215418050422
86,0.08,6.798916376386122e+17,0.26522154092255934,-0.18522154092255932
87,0.08,1.1000877783661019e+18,0.26522153949467203,-0.18522153949467202
88,0.07,1.779979416004714e+18,0.2652215371843018,-0.1952215371843018
89,0.06,2.880067194370816e+18,0.2652215334460443,-0.20522153344604432
90,0.05,4.66004661037553e+18,0.26522152739741667,-0.21522152739741668
91,0.05,7.540113804746346e+18,0.2652215176105315,-0.2152215176105315
92,0.05,1.2200160415121877e+19,0.26522150177501863,-0.21522150177501864
93,0.05,1.9740274219868226e+19,0.2652214761526206,-0.2152214761526206
94,0.05,3.19404346349901e+19,0.26522143469470966,-0.21522143469470967
95,0.04,5.168070885485833e+19,0.26522136761440074,-0.22522136761440073
96,0.03,8.362114348984843e+19,0.2652212590761809,-0.23522125907618088
97,0.03,1.3530185234470676e+20,0.2652210834576521,-0.2352210834576521
98,0.02,2.189229958345552e+20,0.26522079930090353,-0.24522079930090354
99,0.02,3.54224848179262e+20,0.2652203395256261,-0.24522033952562614
100,0.0,5.731478440138172e+20,0.26521959559360014,-0.26521959559360014
101,-0.01,9.273726921930792e+20,0.26521839188629676,-0.27521839188629676
102,-0.03,1.5005205362068963e+21,0.26521644424696733,-0.29521644424696736
103,-0.03,2.4278932283999755e+21,0.2652132929003346,-0.2952132929003346
104,-0.04,3.9284137646068717e+21,0.2652081939143724,-0.30520819391437237
105,-0.04,6.356306993006848e+21,0.26519994358177745,-0.30519994358177743
106,-0.09,1.028472075761372e+22,0.26518659426322033,-0.3551865942632203
107,-0.12,1.6641027750620568e+22,0.2651649946120683,-0.3851649946120683
108,-0.13,2.6925748508234288e+22,0.26513004564235915,-0.39513004564235915
109,-0.15,4.356677625885486e+22,0.26507349702149796,-0.415073497021498
110,-0.19,7.049252476708914e+22,0.2649819994309276,-0.4549819994309276
111,-0.2,1.14059301025944e+23,0.264833953219496,-0.464833953219496
112,-0.24,1.8455182579303315e+23,0.26459440941749407,-0.5045944094174941
113,-0.24,2.9861112681897715e+23,0.26420681940406054,-0.5042068194040605
114,-0.26,4.831629526120103e+23,0.26357968558862505,-0.523579685588625
115,-0.26,7.817740794309875e+23,0.2625649617597561,-0.5225649617597561
116,-0.28,1.2649370320429978e+24,0.2609231041154516,-0.5409231041154516
117,-0.29,2.0467111114739851e+24,0.2582665226422782,-0.5482665226422782
118,-0.3,3.3116481435169827e+24,0.25396808352480027,-0.5539680835248002
119,-0.33,5.358359254990968e+24,0.24701306293414893,-0.577013062934149
120,-0.38,8.670007398507951e+24,0.2357596032260197,-0.6157596032260197
121,-0.4,1.402836665349892e+25,0.21755112292723913,-0.6175511229272391
122,-0.41,2.269837405200687e+25,0.18808918292032933,-0.5980891829203293
123,-0.42,3.6726740705505786e+25,0.14041876261463893,-0.5604187626146389
124,-0.46,5.942511475751265e+25,0.06328640230203875,-0.5232864023020387
125,-0.51,9.615185546301844e+25,-0.06151637831625184,-0.44848362168374817
126,-0.59,1.555769702205311e+26,-0.26345151924714255,-0.3265484807528574
127,-0.63,2.5172882568354952e+26,-0.590189440796324,-0.039810559203676044
128,-0.65,4.0730579590408064e+26,-1.1188625032763961,0.4688625032763961
1 rank effect fib fit resid
2 0 1.34 1.0 0.2652215432329295 1.0747784567670706
3 1 1.3 1.0 0.2652215432329295 1.0347784567670706
4 2 1.28 2.0 0.2652215432329295 1.0147784567670706
5 3 1.09 3.0 0.2652215432329295 0.8247784567670706
6 4 1.01 5.0 0.2652215432329295 0.7447784567670706
7 5 0.96 8.0 0.2652215432329295 0.6947784567670705
8 6 0.96 13.0 0.2652215432329295 0.6947784567670705
9 7 0.94 21.0 0.2652215432329295 0.6747784567670705
10 8 0.85 34.0 0.2652215432329295 0.5847784567670704
11 9 0.84 55.0 0.2652215432329295 0.5747784567670704
12 10 0.82 89.0 0.2652215432329295 0.5547784567670704
13 11 0.74 144.0 0.2652215432329295 0.4747784567670705
14 12 0.73 233.0 0.2652215432329295 0.46477845676707047
15 13 0.66 377.0 0.2652215432329295 0.3947784567670705
16 14 0.66 610.0 0.2652215432329295 0.3947784567670705
17 15 0.64 987.0 0.2652215432329295 0.3747784567670705
18 16 0.63 1597.0 0.2652215432329295 0.3647784567670705
19 17 0.62 2584.0 0.2652215432329295 0.3547784567670705
20 18 0.62 4181.0 0.2652215432329295 0.3547784567670705
21 19 0.61 6765.0 0.2652215432329295 0.3447784567670705
22 20 0.61 10946.0 0.2652215432329295 0.3447784567670705
23 21 0.56 17711.0 0.2652215432329295 0.29477845676707054
24 22 0.55 28657.0 0.2652215432329295 0.28477845676707053
25 23 0.54 46368.0 0.2652215432329295 0.2747784567670705
26 24 0.53 75025.0 0.2652215432329295 0.2647784567670705
27 25 0.52 121393.0 0.2652215432329295 0.2547784567670705
28 26 0.51 196418.0 0.2652215432329295 0.2447784567670705
29 27 0.5 317811.0 0.2652215432329295 0.2347784567670705
30 28 0.5 514229.0 0.2652215432329295 0.2347784567670705
31 29 0.49 832040.0 0.2652215432329295 0.22477845676707048
32 30 0.48 1346269.0 0.2652215432329295 0.21477845676707047
33 31 0.46 2178309.0 0.2652215432329295 0.1947784567670705
34 32 0.46 3524578.0 0.2652215432329295 0.1947784567670705
35 33 0.45 5702887.0 0.2652215432329295 0.1847784567670705
36 34 0.44 9227465.0 0.2652215432329295 0.1747784567670705
37 35 0.44 14930352.0 0.2652215432329295 0.1747784567670705
38 36 0.43 24157817.0 0.2652215432329295 0.16477845676707048
39 37 0.41 39088169.0 0.2652215432329295 0.14477845676707046
40 38 0.41 63245986.0 0.2652215432329295 0.14477845676707046
41 39 0.4 102334155.0 0.2652215432329295 0.1347784567670705
42 40 0.4 165580141.0 0.2652215432329295 0.1347784567670705
43 41 0.39 267914296.0 0.2652215432329295 0.1247784567670705
44 42 0.39 433494437.0 0.2652215432329295 0.1247784567670705
45 43 0.37 701408733.0 0.2652215432329295 0.10477845676707048
46 44 0.37 1134903170.0 0.2652215432329295 0.10477845676707048
47 45 0.36 1836311903.0 0.2652215432329295 0.09477845676707047
48 46 0.35 2971215073.0 0.2652215432329295 0.08477845676707046
49 47 0.35 4807526976.0 0.2652215432329295 0.08477845676707046
50 48 0.33 7778742049.0 0.2652215432329295 0.0647784567670705
51 49 0.33 12586269025.0 0.26522154323292946 0.06477845676707056
52 50 0.3 20365011074.0 0.26522154323292946 0.03477845676707053
53 51 0.29 32951280099.0 0.2652215432329294 0.024778456767070578
54 52 0.27 53316291173.0 0.26522154323292935 0.004778456767070671
55 53 0.27 86267571272.0 0.26522154323292924 0.004778456767070782
56 54 0.26 139583862445.0 0.265221543232929 -0.005221543232929005
57 55 0.26 225851433717.0 0.26522154323292874 -0.005221543232928727
58 56 0.25 365435296162.0 0.2652215432329283 -0.015221543232928292
59 57 0.24 591286729879.0 0.2652215432329275 -0.025221543232927524
60 58 0.24 956722026041.0 0.26522154323292624 -0.025221543232926247
61 59 0.23 1548008755920.0 0.26522154323292424 -0.03522154323292423
62 60 0.23 2504730781961.0 0.265221543232921 -0.03522154323292101
63 61 0.22 4052739537881.0 0.26522154323291575 -0.045221543232915745
64 62 0.22 6557470319842.0 0.26522154323290725 -0.04522154323290725
65 63 0.21 10610209857723.0 0.26522154323289343 -0.05522154323289344
66 64 0.21 17167680177565.0 0.26522154323287117 -0.05522154323287118
67 65 0.21 27777890035288.0 0.26522154323283514 -0.05522154323283515
68 66 0.2 44945570212853.0 0.2652215432327768 -0.06522154323277679
69 67 0.2 72723460248141.0 0.2652215432326824 -0.06522154323268237
70 68 0.19 117669030460994.0 0.26522154323252967 -0.07522154323252966
71 69 0.19 190392490709135.0 0.26522154323228253 -0.07522154323228253
72 70 0.18 308061521170129.0 0.2652215432318827 -0.08522154323188269
73 71 0.18 498454011879264.0 0.2652215432312357 -0.08522154323123571
74 72 0.18 806515533049393.0 0.26522154323018887 -0.08522154323018888
75 73 0.17 1304969544928657.0 0.26522154322849506 -0.09522154322849505
76 74 0.17 2111485077978050.0 0.26522154322575436 -0.09522154322575435
77 75 0.17 3416454622906707.0 0.2652215432213199 -0.0952215432213199
78 76 0.16 5527939700884757.0 0.26522154321414476 -0.10522154321414476
79 77 0.16 8944394323791464.0 0.26522154320253516 -0.10522154320253516
80 78 0.16 1.447233402467622e+16 0.2652215431837504 -0.1052215431837504
81 79 0.14 2.3416728348467684e+16 0.26522154315335605 -0.12522154315335604
82 80 0.13 3.78890623731439e+16 0.265221543104177 -0.135221543104177
83 81 0.1 6.130579072161158e+16 0.26522154302460355 -0.16522154302460354
84 82 0.1 9.919485309475549e+16 0.26522154289585104 -0.16522154289585103
85 83 0.09 1.6050064381636707e+17 0.26522154268752507 -0.17522154268752507
86 84 0.09 2.5969549691112256e+17 0.26522154235044665 -0.17522154235044665
87 85 0.09 4.2019614072748966e+17 0.2652215418050422 -0.1752215418050422
88 86 0.08 6.798916376386122e+17 0.26522154092255934 -0.18522154092255932
89 87 0.08 1.1000877783661019e+18 0.26522153949467203 -0.18522153949467202
90 88 0.07 1.779979416004714e+18 0.2652215371843018 -0.1952215371843018
91 89 0.06 2.880067194370816e+18 0.2652215334460443 -0.20522153344604432
92 90 0.05 4.66004661037553e+18 0.26522152739741667 -0.21522152739741668
93 91 0.05 7.540113804746346e+18 0.2652215176105315 -0.2152215176105315
94 92 0.05 1.2200160415121877e+19 0.26522150177501863 -0.21522150177501864
95 93 0.05 1.9740274219868226e+19 0.2652214761526206 -0.2152214761526206
96 94 0.05 3.19404346349901e+19 0.26522143469470966 -0.21522143469470967
97 95 0.04 5.168070885485833e+19 0.26522136761440074 -0.22522136761440073
98 96 0.03 8.362114348984843e+19 0.2652212590761809 -0.23522125907618088
99 97 0.03 1.3530185234470676e+20 0.2652210834576521 -0.2352210834576521
100 98 0.02 2.189229958345552e+20 0.26522079930090353 -0.24522079930090354
101 99 0.02 3.54224848179262e+20 0.2652203395256261 -0.24522033952562614
102 100 0.0 5.731478440138172e+20 0.26521959559360014 -0.26521959559360014
103 101 -0.01 9.273726921930792e+20 0.26521839188629676 -0.27521839188629676
104 102 -0.03 1.5005205362068963e+21 0.26521644424696733 -0.29521644424696736
105 103 -0.03 2.4278932283999755e+21 0.2652132929003346 -0.2952132929003346
106 104 -0.04 3.9284137646068717e+21 0.2652081939143724 -0.30520819391437237
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