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  2. Data transformation (statistics) - Wikipedia

    en.wikipedia.org/wiki/Data_transformation...

    The logarithm transformation and square root transformation are commonly used for positive data, and the multiplicative inverse transformation (reciprocal transformation) can be used for non-zero data. The power transformation is a family of transformations parameterized by a non-negative value λ that includes the logarithm, square root, and ...

  3. Arcsine distribution - Wikipedia

    en.wikipedia.org/wiki/Arcsine_distribution

    The arcsine distribution appears in the Lévy arcsine law, in the Erdős arcsine law, and as the Jeffreys prior for the probability of success of a Bernoulli trial. [ 1 ] [ 2 ] The arcsine probability density is a distribution that appears in several random-walk fundamental theorems.

  4. Binomial proportion confidence interval - Wikipedia

    en.wikipedia.org/wiki/Binomial_proportion...

    The arcsine transformation has the effect of pulling out the ends of the distribution. [16] While it can stabilize the variance (and thus confidence intervals) of proportion data, its use has been criticized in several contexts. [17]

  5. Arcsine transformation - Wikipedia

    en.wikipedia.org/?title=Arcsine_transformation&...

    Pages for logged out editors learn more. Contributions; Talk; Arcsine transformation

  6. List of probability distributions - Wikipedia

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

    Benford's law, which describes the frequency of the first digit of many naturally occurring data. The ideal and robust soliton distributions. Zipf's law or the Zipf distribution. A discrete power-law distribution, the most famous example of which is the description of the frequency of words in the English language.

  7. Binomial distribution - Wikipedia

    en.wikipedia.org/wiki/Binomial_distribution

    In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p).

  8. Compositional data - Wikipedia

    en.wikipedia.org/wiki/Compositional_data

    This transform is commonly used in chemistry with measurements such as pH. In addition, this is the transform most commonly used for multinomial logistic regression. The alr transform is not an isometry, meaning that distances on transformed values will not be equivalent to distances on the original compositions in the simplex.

  9. Arcsine laws (Wiener process) - Wikipedia

    en.wikipedia.org/wiki/Arcsine_laws_(Wiener_process)

    The third arcsine law states that the time at which a Wiener process achieves its maximum is arcsine distributed. The statement of the law relies on the fact that the Wiener process has an almost surely unique maxima, [1] and so we can define the random variable M which is the time at which the maxima is achieved. i.e. the unique M such that