nlogL = rayllike (sigma, x) returns the negative log likelihood of the data in x corresponding to the Rayleigh distribution with rate parameter sigma. x must be a vector of non-negative values.

[nlogL, acov] = rayllike (sigma, x) also returns the inverse of Fisher’s information matrix, acov. If the input rate parameter, sigma, is the maximum likelihood estimate, acov is its asymptotic variance.

[…] = rayllike (sigma, x, freq) accepts a frequency vector, freq, of the same size as x. freq typically contains integer frequencies for the corresponding elements in x, but it can contain any non-integer non-negative values. By default, or if left empty, freq = ones (size (x)).

Further information about the Rayleigh distribution can be found at https://en.wikipedia.org/wiki/Rayleigh_distribution

See also: raylcdf, raylinv, raylpdf, raylrnd, raylfit, raylstat

Source Code: rayllike