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  2. Cumulative distribution function - Wikipedia

    en.wikipedia.org/wiki/Cumulative_distribution...

    Cumulative distribution function for the exponential distribution Cumulative distribution function for the normal distribution. In probability theory and statistics, the cumulative distribution function (CDF) of a real-valued random variable, or just distribution function of , evaluated at , is the probability that will take a value less than or equal to .

  3. Probability density function - Wikipedia

    en.wikipedia.org/wiki/Probability_density_function

    Probability density function. Box plot and probability density function of a normal distribution N(0, σ2). Geometric visualisation of the mode, median and mean of an arbitrary unimodal probability density function. [1] In probability theory, a probability density function (PDF), density function, or density of an absolutely continuous random ...

  4. Normal distribution - Wikipedia

    en.wikipedia.org/wiki/Normal_distribution

    The probability density, cumulative distribution, and inverse cumulative distribution of any function of one or more independent or correlated normal variables can be computed with the numerical method of ray-tracing [39] (Matlab code). In the following sections we look at some special cases.

  5. Probability distribution - Wikipedia

    en.wikipedia.org/wiki/Probability_distribution

    t. e. In probability theory and statistics, a probability distribution is the mathematical function that gives the probabilities of occurrence of possible outcomes for an experiment. [1][2] It is a mathematical description of a random phenomenon in terms of its sample space and the probabilities of events (subsets of the sample space). [3]

  6. Logistic distribution - Wikipedia

    en.wikipedia.org/wiki/Logistic_distribution

    The probability density function is the partial derivative of the cumulative distribution function: (;,) = (;,) = / (+ /) = (() / + / ()) = ⁡ ().When the location parameter μ is 0 and the scale parameter s is 1, then the probability density function of the logistic distribution is given by

  7. Student's t-distribution - Wikipedia

    en.wikipedia.org/wiki/Student's_t-distribution

    In probability theory and statistics, Student's t distribution (or simply the t distribution) is a continuous probability distribution that generalizes the standard normal distribution. Like the latter, it is symmetric around zero and bell-shaped. However, has heavier tails and the amount of probability mass in the tails is controlled by the ...

  8. Continuous uniform distribution - Wikipedia

    en.wikipedia.org/.../Continuous_uniform_distribution

    Cumulative distribution function. The cumulative distribution function of the continuous uniform distribution is: Its inverse is: 1. {\displaystyle F^ {-1} (p)=a+p (b-a)\quad {\text { for }}0<p<1.} In terms of mean and variance the cumulative distribution function of the continuous uniform distribution is:

  9. Multivariate normal distribution - Wikipedia

    en.wikipedia.org/wiki/Multivariate_normal...

    If () is a general scalar-valued function of a normal vector, its probability density function, cumulative distribution function, and inverse cumulative distribution function can be computed with the numerical method of ray-tracing (Matlab code). [17]