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VGAM (version 1.1-14)

biamhcop: Ali-Mikhail-Haq Distribution Family Function

Description

Estimate the association parameter of Ali-Mikhail-Haq's bivariate distribution by maximum likelihood estimation.

Usage

biamhcop(lapar = "rhobitlink", iapar = NULL, imethod = 1,
         nsimEIM = 250)

Arguments

Value

An object of class "vglmff"

(see vglmff-class). The object is used by modelling functions such as vglm

and vgam.

Details

The cumulative distribution function is $$P(Y_1 \leq y_1, Y_2 \leq y_2) = y_1 y_2 / ( 1 - \alpha (1 - y_1) (1 - y_2) ) $$ for \(-1 < \alpha < 1\). The support of the function is the unit square. The marginal distributions are the standard uniform distributions. When \(\alpha = 0\) the random variables are independent. This is an Archimedean copula.

References

Balakrishnan, N. and Lai, C.-D. (2009). Continuous Bivariate Distributions, 2nd ed. New York: Springer.

See Also

rbiamhcop, bifgmcop, bigumbelIexp, rbilogis, simulate.vlm.

Examples

Run this code
ymat <- rbiamhcop(1000, apar = rhobitlink(2, inverse = TRUE))
fit <- vglm(ymat ~ 1, biamhcop, trace = TRUE)
coef(fit, matrix = TRUE)
Coef(fit)

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