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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. Exponential distribution - Wikipedia

    en.wikipedia.org/wiki/Exponential_distribution

    The probability density function (pdf) of an exponential distribution is (;) = {, <Here λ > 0 is the parameter of the distribution, often called the rate parameter.The distribution is supported on the interval [0, ∞).

  4. Kernel (statistics) - Wikipedia

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

    In statistics, especially in Bayesian statistics, the kernel of a probability density function (pdf) or probability mass function (pmf) is the form of the pdf or pmf in which any factors that are not functions of any of the variables in the domain are omitted. [1] Note that such factors may well be functions of the parameters of the

  5. Rayleigh distribution - Wikipedia

    en.wikipedia.org/wiki/Rayleigh_distribution

    The probability density function of the Rayleigh distribution is [2] (; ... Finally, the probability density function (PDF) of the magnitude may be derived: = ...

  6. Convolution of probability distributions - Wikipedia

    en.wikipedia.org/wiki/Convolution_of_probability...

    The probability distribution of the sum of two or more independent random variables is the convolution of their individual distributions. The term is motivated by the fact that the probability mass function or probability density function of a sum of independent random variables is the convolution of their corresponding probability mass functions or probability density functions respectively.

  7. Circular uniform distribution - Wikipedia

    en.wikipedia.org/wiki/Circular_uniform_distribution

    A 10,000 point Monte Carlo simulation of the distribution of the sample mean of a circular uniform distribution for N = 3 Probability densities (¯) for small values of . Densities for N > 3 {\displaystyle N>3} are normalised to the maximum density, those for N = 1 {\displaystyle N=1} and 2 {\displaystyle 2} are scaled to aid visibility.

  8. Dirichlet distribution - Wikipedia

    en.wikipedia.org/wiki/Dirichlet_distribution

    Probability density function ... The right-hand side can be recognized as the product of a Dirichlet pdf for the and a gamma pdf for ¯. The product form shows the ...

  9. Logistic distribution - Wikipedia

    en.wikipedia.org/wiki/Logistic_distribution

    The probability density function is the partial derivative of the cumulative ... The PDF of this distribution has the same functional form as the derivative of ...