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Phi_2 by Gauss-Legendre quadrature of phi(t) Phi((k - rho t)/sqrt(1 - rho^2)).

Usage

BvNormDist(x, y, mean1 = 0, mean2 = 0, sd1 = 1, sd2 = 1, rho = 0)

Arguments

x, y

Evaluation point.

mean1, mean2, sd1, sd2

Marginal parameters.

rho

Correlation.

Value

list(pdf, cdf).

References

Owen, D. B. (1956). Annals of Mathematical Statistics 27, 1075-1090.

Examples

BvNormDist(0, 0, rho = 0.5)$cdf
#> [1] 0.3333333