Transition probabilities from selected texts

From Derek
Revision as of 23:42, 13 July 2009 by A1133050 (Talk | contribs)

Jump to: navigation, search

The Somerton Man's code (without the extra line) is 44 characters long. So, if the text is purely random (1/26 chance of each letter appearing) then the probability of attaining this particular string of 44 is (1/26)^44 = 5.51027E-63. This is a good initial comparison.

For transitions that have p=0, corrections to p=0.0001 have been performed to attain a non-zero Markov probability.

HMMER score[1] is the log (base 2) of Markov probability / null probability (1/26^44)

First order

All letters


(..\Texts\1984 - George Orwell.txt) All Letters
Markov Probability: 1.4822672916815308E-71
Corrected Zeroes: 1
HMMER Score: -28.46974151192516

(..\Texts\Les Orientales - Victor Hugo.txt) All Letters
Markov Probability: 7.955726018472886E-79
Corrected Zeroes: 2
HMMER Score: -52.620978304803444

(..\Texts\Traumdeutung - Sigmund Freud.txt) All Letters
Markov Probability: 3.749298888974187E-77
Corrected Zeroes: 1
HMMER Score: -47.062494868234964

(..\Texts\Vigenere - 1984.txt) All Letters
Markov Probability: 1.646391769425068E-70
Corrected Zeroes: 0
HMMER Score: -24.99631136880728

Initial letters


(..\Texts\1984 - George Orwell.txt) Initial Letters
Markov Probability: 2.0136596296001355E-56
Corrected Zeroes: 0
HMMER Score: 21.80119412864152

(..\Texts\Les Orientales - Victor Hugo.txt) Initial Letters
Markov Probability: 3.3267604806714393E-60
Corrected Zeroes: 0
HMMER Score: 9.237779904103608

(..\Texts\Traumdeutung - Sigmund Freud.txt) Initial Letters
Markov Probability: 3.820168061668581E-68
Corrected Zeroes: 1
HMMER Score: -17.138126745609156

Second order

All letters


(..\Texts\1984 - George Orwell.txt) All Letters
Markov Probability: 3.9262648017739784E-100
Corrected Zeroes: 15
HMMER Score: -123.40030441377017

(..\Texts\Les Orientales - Victor Hugo.txt) All Letters
Markov Probability: 2.1087630055723357E-106
Corrected Zeroes: 18
HMMER Score: -144.22863349364334

(..\Texts\Traumdeutung - Sigmund Freud.txt) All Letters
Markov Probability: 3.731464295941246E-119
Corrected Zeroes: 21
HMMER Score: -186.5903538114491

(..\Texts\Vigenere - 1984.txt) All Letters
Markov Probability: 1.669944098510842E-92
Corrected Zeroes: 8
HMMER Score: -98.05823732223358

Initial letters


(..\Texts\1984 - George Orwell.txt) Initial Letters
Markov Probability: 7.555198589304339E-61
Corrected Zeroes: 2
HMMER Score: 7.0992034873802545

(..\Texts\Les Orientales - Victor Hugo.txt) Initial Letters
Markov Probability: 1.0973476039668194E-80
Corrected Zeroes: 9
HMMER Score: -58.80087939586076

(..\Texts\Traumdeutung - Sigmund Freud.txt) Initial Letters
Markov Probability: 1.457883499720296E-103
Corrected Zeroes: 18
HMMER Score: -134.7953707374809


References

  1. ftp://selab.janelia.org/pub/software/hmmer/CURRENT/Userguide.pdf Page 43

See also

Back