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Measuring and predicting anonymity - A: ζ(k,N) for k = 1. . . , 50 and N = 1, . . . , 20

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UvA-DARE is a service provided by the library of the University of Amsterdam (http

s

://dare.uva.nl)

UvA-DARE (Digital Academic Repository)

Measuring and predicting anonymity

Koot, M.R.

Publication date

2012

Link to publication

Citation for published version (APA):

Koot, M. R. (2012). Measuring and predicting anonymity.

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(2)

A

⇣(k, N ) for k = 1 . . . , 50

and N = 1, . . . , 20

(3)

104

APPENDIX A. ⇣(K, N ) FOR K = 1 . . . , 50 AND N = 1, . . . , 20

k/ N 12 3 45 67 89 1 0 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 2 0 1 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 0. 000 2 1. 000 0. 500 0. 333 0. 250 0. 200 0. 167 0. 143 0. 125 0. 111 0. 100 0. 091 0. 083 0. 077 0. 071 0. 067 0. 063 0. 059 0. 056 0. 053 0. 050 3 1. 000 0. 250 0. 111 0. 063 0. 040 0. 028 0. 020 0. 016 0. 012 0. 010 0. 008 0. 007 0. 006 0. 005 0. 004 0. 004 0. 003 0. 003 0. 003 0. 003 4 1. 000 0. 500 0. 259 0. 156 0. 104 0. 074 0. 055 0. 043 0. 034 0. 028 0. 023 0. 020 0. 017 0. 015 0. 013 0. 011 0. 010 0. 009 0. 008 0. 007 5 1. 000 0. 688 0. 259 0. 121 0. 066 0. 039 0. 025 0. 017 0. 012 0. 009 0. 007 0. 005 0. 004 0. 003 0. 003 0. 002 0. 002 0. 002 0. 001 0. 001 6 1. 000 0. 813 0. 333 0. 162 0. 090 0. 055 0. 036 0. 025 0. 018 0. 013 0. 010 0. 008 0. 006 0. 005 0. 004 0. 003 0. 003 0. 002 0. 002 0. 002 7 1. 000 0. 891 0. 443 0. 195 0. 095 0. 051 0. 030 0. 018 0. 012 0. 008 0. 006 0. 004 0. 003 0. 002 0. 002 0. 001 0. 001 0. 001 0. 001 0. 001 8 1. 000 0. 938 0. 557 0. 240 0. 114 0. 060 0. 034 0. 021 0. 013 0. 009 0. 006 0. 004 0. 003 0. 002 0. 002 0. 001 0. 001 0. 001 0. 001 0. 001 9 1. 000 0. 965 0. 660 0. 302 0. 139 0. 069 0. 036 0. 021 0. 012 0. 008 0. 005 0. 003 0. 002 0. 002 0. 001 0. 001 0. 001 0. 001 0. 000 0. 000 10 1. 000 0. 980 0. 744 0. 378 0. 171 0. 081 0. 042 0. 023 0. 013 0. 008 0. 005 0. 003 0. 002 0. 002 0. 001 0. 001 0. 001 0. 000 0. 000 0. 000 11 1. 000 0. 989 0. 811 0. 460 0. 211 0. 099 0. 049 0. 026 0. 014 0. 008 0. 005 0. 003 0. 002 0. 001 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 12 1. 000 0. 994 0. 862 0. 541 0. 261 0. 121 0. 058 0. 029 0. 016 0. 009 0. 005 0. 003 0. 002 0. 001 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 13 1. 000 0. 997 0. 900 0. 617 0. 319 0. 148 0. 070 0. 035 0. 018 0. 010 0. 006 0. 003 0. 002 0. 001 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 14 1. 000 0. 998 0. 928 0. 684 0. 382 0. 182 0. 085 0. 041 0. 021 0. 011 0. 006 0. 004 0. 002 0. 001 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 15 1. 000 0. 999 0. 949 0. 742 0. 446 0. 222 0. 104 0. 050 0. 025 0. 013 0. 007 0. 004 0. 002 0. 001 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 16 1. 000 1. 000 0. 963 0. 792 0. 510 0. 267 0. 127 0. 060 0. 029 0. 015 0. 008 0. 004 0. 002 0. 001 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 17 1. 000 1. 000 0. 974 0. 833 0. 572 0. 317 0. 155 0. 073 0. 035 0. 017 0. 009 0. 005 0. 003 0. 001 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 18 1. 000 1. 000 0. 982 0. 866 0. 629 0. 369 0. 187 0. 089 0. 043 0. 021 0. 010 0. 005 0. 003 0. 002 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 19 1. 000 1. 000 0. 987 0. 894 0. 681 0. 423 0. 223 0. 108 0. 052 0. 025 0. 012 0. 006 0. 003 0. 002 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 20 1. 000 1. 000 0. 991 0. 916 0. 727 0. 476 0. 263 0. 131 0. 063 0. 030 0. 015 0. 007 0. 004 0. 002 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 21 1. 000 1. 000 0. 994 0. 934 0. 768 0. 528 0. 306 0. 157 0. 076 0. 036 0. 018 0. 009 0. 004 0. 002 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 22 1. 000 1. 000 0. 996 0. 948 0. 804 0. 578 0. 350 0. 186 0. 092 0. 044 0. 021 0. 010 0. 005 0. 003 0. 001 0. 001 0. 000 0. 000 0. 000 0. 000 23 1. 000 1. 000 0. 997 0. 959 0. 835 0. 625 0. 396 0. 218 0. 110 0. 053 0. 026 0. 013 0. 006 0. 003 0. 002 0. 001 0. 000 0. 000 0. 000 0. 000 24 1. 000 1. 000 0. 998 0. 968 0. 861 0. 668 0. 442 0. 253 0. 131 0. 064 0. 031 0. 015 0. 007 0. 004 0. 002 0. 001 0. 001 0. 000 0. 000 0. 000 25 1. 000 1. 000 0. 999 0. 975 0. 884 0. 707 0. 487 0. 291 0. 155 0. 077 0. 038 0. 018 0. 009 0. 004 0. 002 0. 001 0. 001 0. 000 0. 000 0. 000 26 1. 000 1. 000 0. 999 0. 980 0. 903 0. 743 0. 531 0. 329 0. 181 0. 092 0. 045 0. 022 0. 011 0. 005 0. 003 0. 001 0. 001 0. 000 0. 000 0. 000 27 1. 000 1. 000 0. 999 0. 985 0. 919 0. 776 0. 574 0. 369 0. 210 0. 110 0. 054 0. 026 0. 013 0. 006 0. 003 0. 002 0. 001 0. 000 0. 000 0. 000 28 1. 000 1. 000 1. 000 0. 988 0. 933 0. 804 0. 614 0. 409 0. 241 0. 129 0. 065 0. 032 0. 015 0. 008 0. 004 0. 002 0. 001 0. 000 0. 000 0. 000 29 1. 000 1. 000 1. 000 0. 991 0. 944 0. 830 0. 651 0. 449 0. 274 0. 151 0. 077 0. 038 0. 019 0. 009 0. 004 0. 002 0. 001 0. 001 0. 000 0. 000 30 1. 000 1. 000 1. 000 0. 993 0. 954 0. 853 0. 686 0. 489 0. 308 0. 174 0. 092 0. 046 0. 022 0. 011 0. 005 0. 003 0. 001 0. 001 0. 000 0. 000 31 1. 000 1. 000 1. 000 0. 994 0. 962 0. 872 0. 719 0. 527 0. 343 0. 200 0. 107 0. 055 0. 027 0. 013 0. 006 0. 003 0. 002 0. 001 0. 000 0. 000 32 1. 000 1. 000 1. 000 0. 996 0. 968 0. 890 0. 748 0. 564 0. 378 0. 227 0. 125 0. 065 0. 032 0. 016 0. 008 0. 004 0. 002 0. 001 0. 000 0. 000 33 1. 000 1. 000 1. 000 0. 997 0. 974 0. 905 0. 775 0. 599 0. 414 0. 256 0. 145 0. 076 0. 039 0. 019 0. 009 0. 005 0. 002 0. 001 0. 001 0. 000 34 1. 000 1. 000 1. 000 0. 997 0. 978 0. 918 0. 800 0. 633 0. 449 0. 286 0. 166 0. 089 0. 046 0. 023 0. 011 0. 005 0. 003 0. 001 0. 001 0. 000 35 1. 000 1. 000 1. 000 0. 998 0. 982 0. 930 0. 822 0. 664 0. 484 0. 317 0. 189 0. 104 0. 054 0. 027 0. 013 0. 007 0. 003 0. 002 0. 001 0. 000 36 1. 000 1. 000 1. 000 0. 998 0. 985 0. 940 0. 842 0. 694 0. 518 0. 349 0. 213 0. 120 0. 064 0. 032 0. 016 0. 008 0. 004 0. 002 0. 001 0. 000 37 1. 000 1. 000 1. 000 0. 999 0. 988 0. 948 0. 860 0. 722 0. 551 0. 381 0. 239 0. 138 0. 074 0. 038 0. 019 0. 009 0. 005 0. 002 0. 001 0. 001 38 1. 000 1. 000 1. 000 0. 999 0. 990 0. 956 0. 877 0. 747 0. 583 0. 413 0. 266 0. 157 0. 086 0. 045 0. 023 0. 011 0. 006 0. 003 0. 001 0. 001 39 1. 000 1. 000 1. 000 0. 999 0. 992 0. 962 0. 891 0. 771 0. 614 0. 445 0. 293 0. 178 0. 100 0. 053 0. 027 0. 013 0. 007 0. 003 0. 002 0. 001 40 1. 000 1. 000 1. 000 0. 999 0. 993 0. 967 0. 904 0. 793 0. 643 0. 476 0. 322 0. 199 0. 114 0. 062 0. 032 0. 016 0. 008 0. 004 0. 002 0. 001 41 1. 000 1. 000 1. 000 1. 000 0. 995 0. 972 0. 915 0. 813 0. 670 0. 507 0. 351 0. 222 0. 130 0. 072 0. 038 0. 019 0. 010 0. 005 0. 002 0. 001 42 1. 000 1. 000 1. 000 1. 000 0. 996 0. 976 0. 925 0. 831 0. 696 0. 537 0. 380 0. 246 0. 148 0. 083 0. 044 0. 023 0. 011 0. 006 0. 003 0. 001 43 1. 000 1. 000 1. 000 1. 000 0. 996 0. 980 0. 934 0. 848 0. 721 0. 566 0. 409 0. 271 0. 166 0. 095 0. 051 0. 027 0. 013 0. 007 0. 003 0. 002 44 1. 000 1. 000 1. 000 1. 000 0. 997 0. 983 0. 942 0. 863 0. 743 0. 594 0. 438 0. 297 0. 186 0. 108 0. 060 0. 031 0. 016 0. 008 0. 004 0. 002 45 1. 000 1. 000 1. 000 1. 000 0. 998 0. 985 0. 949 0. 877 0. 765 0. 621 0. 466 0. 323 0. 206 0. 123 0. 069 0. 037 0. 019 0. 010 0. 005 0. 002 46 1. 000 1. 000 1. 000 1. 000 0. 998 0. 987 0. 956 0. 890 0. 785 0. 647 0. 494 0. 349 0. 228 0. 138 0. 079 0. 043 0. 022 0. 011 0. 006 0. 003 47 1. 000 1. 000 1. 000 1. 000 0. 998 0. 989 0. 961 0. 901 0. 803 0. 671 0. 522 0. 376 0. 250 0. 155 0. 090 0. 050 0. 026 0. 013 0. 007 0. 003 48 1. 000 1. 000 1. 000 1. 000 0. 999 0. 991 0. 966 0. 911 0. 820 0. 695 0. 549 0. 402 0. 273 0. 173 0. 102 0. 057 0. 031 0. 016 0. 008 0. 004 49 1. 000 1. 000 1. 000 1. 000 0. 999 0. 992 0. 970 0. 921 0. 836 0. 717 0. 575 0. 429 0. 297 0. 191 0. 115 0. 066 0. 036 0. 019 0. 009 0. 005 50 1. 000 1. 000 1. 000 1. 000 0. 999 0. 993 0. 974 0. 929 0. 850 0. 738 0. 600 0. 455 0. 321 0. 211 0. 129 0. 075 0. 041 0. 022 0. 011 0. 006

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