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  2. Log-normal distribution - Wikipedia

    en.wikipedia.org/wiki/Log-normal_distribution

    Log-normal distribution. In probability theory, a log-normal (or lognormal) distribution is a continuous probability distribution of a random variable whose logarithm is normally distributed. Thus, if the random variable X is log-normally distributed, then Y = ln (X) has a normal distribution.

  3. Logarithm - Wikipedia

    en.wikipedia.org/wiki/Logarithm

    A maximum of the likelihood function occurs at the same parameter-value as a maximum of the logarithm of the likelihood (the "log likelihood"), because the logarithm is an increasing function. The log-likelihood is easier to maximize, especially for the multiplied likelihoods for independent random variables.

  4. Logarithmic scale - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_scale

    Logarithmic scale. of the Internet host count over time shown on a logarithmic scale. A logarithmic scale (or log scale) is a method used to display numerical data that spans a broad range of values, especially when there are significant differences between the magnitudes of the numbers involved. Unlike a linear scale where each unit of ...

  5. Log–log plot - Wikipedia

    en.wikipedia.org/wiki/Loglog_plot

    In science and engineering, a loglog graph or loglog plot is a two-dimensional graph of numerical data that uses logarithmic scales on both the horizontal and vertical axes. Power functions – relationships of the form – appear as straight lines in a loglog graph, with the exponent corresponding to the slope, and the coefficient ...

  6. Logarithmic distribution - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_distribution

    Logarithmic. The function is only defined at integer values. The connecting lines are merely guides for the eye. In probability and statistics, the logarithmic distribution (also known as the logarithmic series distribution or the log-series distribution) is a discrete probability distribution derived from the Maclaurin series expansion.

  7. Natural logarithm - Wikipedia

    en.wikipedia.org/wiki/Natural_logarithm

    v. t. e. The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718 281 828 459. [1] The natural logarithm of x is generally written as ln x, loge x, or sometimes, if the base e is implicit, simply log x.

  8. Logistic regression - Wikipedia

    en.wikipedia.org/wiki/Logistic_regression

    An explanation of logistic regression can begin with an explanation of the standard logistic function. The logistic function is a sigmoid function, which takes any real input , and outputs a value between zero and one. [2] For the logit, this is interpreted as taking input log-odds and having output probability.

  9. Likelihood function - Wikipedia

    en.wikipedia.org/wiki/Likelihood_function

    t. e. The likelihood function (often simply called the likelihood) is the joint probability mass (or probability density) of observed data viewed as a function of the parameters of a statistical model. [1] [2] [3] Intuitively, the likelihood function is the probability of observing data assuming is the actual parameter.