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  2. Letter frequency - Wikipedia

    en.wikipedia.org/wiki/Letter_frequency

    Letter frequency is the number of times letters of the alphabet appear on average in written language. Letter frequency analysis dates back to the Arab mathematician Al-Kindi (c.801 –873 AD), who formally developed the method to break ciphers. Letter frequency analysis gained importance in Europe with the development of movable type in 1450 ...

  3. Scrabble letter distributions - Wikipedia

    en.wikipedia.org/wiki/Scrabble_letter_distributions

    The score of 20 for a K is the highest known point value for any letter in any Scrabble score distribution worldwide. The fourth distribution, which uses U instead of V, and includes Y, is as follows: [ 34 ] 2 blank tiles (scoring 0 points) 1 point: E ×10, A ×9, I ×9, S ×9, T ×9, U ×9. 2 points: M ×6, N ×6, O ×6, R ×6.

  4. Frequency analysis - Wikipedia

    en.wikipedia.org/wiki/Frequency_analysis

    Frequency analysis is based on the fact that, in any given stretch of written language, certain letters and combinations of letters occur with varying frequencies. Moreover, there is a characteristic distribution of letters that is roughly the same for almost all samples of that language. For instance, given a section of English language, E, T ...

  5. Zipf's law - Wikipedia

    en.wikipedia.org/wiki/Zipf's_law

    Zipf's law can be visuallized by plotting the item frequency data on a log-log graph, with the axes being the logarithm of rank order, and logarithm of frequency. The data conform to Zipf's law with exponent s to the extent that the plot approximates a linear (more precisely, affine) function with slope − s.

  6. Frequency (statistics) - Wikipedia

    en.wikipedia.org/wiki/Frequency_(statistics)

    A frequency distribution shows a summarized grouping of data divided into mutually exclusive classes and the number of occurrences in a class. It is a way of showing unorganized data notably to show results of an election, income of people for a certain region, sales of a product within a certain period, student loan amounts of graduates, etc.

  7. List of probability distributions - Wikipedia

    en.wikipedia.org/wiki/List_of_probability...

    The Bernoulli distribution, which takes value 1 with probability pand value 0 with probability q= 1 − p. The Rademacher distribution, which takes value 1 with probability 1/2 and value −1 with probability 1/2. The binomial distribution, which describes the number of successes in a series of independent Yes/No experiments all with the same ...

  8. Benford's law - Wikipedia

    en.wikipedia.org/wiki/Benford's_law

    This is an accepted version of this page This is the latest accepted revision, reviewed on 27 September 2024. Observation that in many real-life datasets, the leading digit is likely to be small Not to be confused with the unrelated adage Benford's law of controversy. The distribution of first digits, according to Benford's law. Each bar represents a digit, and the height of the bar is the ...

  9. Index of coincidence - Wikipedia

    en.wikipedia.org/wiki/Index_of_coincidence

    The corresponding set of ciphertext letters should have a roughness of frequency distribution similar to that of English, although the letter identities have been permuted (shifted by a constant amount corresponding to the key letter). Therefore, if we compute the aggregate delta I.C. for all columns ("delta bar"), it should be around 1.73.