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  2. Probability density function - Wikipedia

    en.wikipedia.org/wiki/Probability_density_function

    In probability theory, a probability density function (PDF), density function, or density of an absolutely continuous random variable, is a function whose value at any given sample (or point) in the sample space (the set of possible values taken by the random variable) can be interpreted as providing a relative likelihood that the value of the ...

  3. 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 [41] (Matlab code). In the following sections we look at some special cases.

  4. 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]

  5. Log-normal distribution - Wikipedia

    en.wikipedia.org/wiki/Log-normal_distribution

    A closed-form formula for the characteristic function ... Matlab code) Probabilities of functions of a log-normal variable ... Its probability density function at the ...

  6. Student's t-distribution - Wikipedia

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

    The probability density function is symmetric, and its overall shape resembles the bell shape of a normally distributed variable with mean 0 and variance 1, except that it is a bit lower and wider. As the number of degrees of freedom grows, the t distribution approaches the normal distribution with mean 0 and variance 1.

  7. Truncated normal distribution - Wikipedia

    en.wikipedia.org/wiki/Truncated_normal_distribution

    Its probability density function, ... reported closed-form formula for calculating the Kullback-Leibler divergence and the Bhattacharyya ... C++, Matlab and ...

  8. 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

  9. Gamma distribution - Wikipedia

    en.wikipedia.org/wiki/Gamma_distribution

    The corresponding probability density function in the shape-rate parameterization is ... the median does not have a closed-form equation. ... In Matlab numbers can be ...