Estimating the parameter of the Maxwell distribution by maximum likelihood estimation.
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Parameter link function applied to a,
which is called the parameter
The Maxwell distribution, which is used in the area of thermodynamics, has a probability density function that can be written
f(y;a) = sqrt(2/pi) * a^(3/2) * y^2 * exp(-0.5*a*y^2)
for y>0 and a>0. The mean of Y is sqrt(8 / (a * pi)) (returned as the fitted values), and its variance is (3*pi - 8)/(pi*a).
An object of class
The object is used by modelling functions such as
Fisher-scoring and Newton-Raphson are the same here.
A related distribution is the Rayleigh distribution.
This VGAM family function handles multiple responses.
This VGAM family function can be mimicked by
poisson.points(ostatistic = 1.5, dimension = 2).
T. W. Yee
von Seggern, D. H. (1993). CRC Standard Curves and Surfaces, Boca Raton, FL, USA: CRC Press.
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Loading required package: stats4 Loading required package: splines VGLM linear loop 1 : coefficients = 2.2306871 VGLM linear loop 2 : coefficients = 1.9831625 VGLM linear loop 3 : coefficients = 2.0091814 VGLM linear loop 4 : coefficients = 2.0095258 VGLM linear loop 5 : coefficients = 2.0095258 loge(rate) (Intercept) 2.009526 rate 7.459779
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