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Cumulative bivariate normal distribution function

Drezner (1978) algorithm, six decimal places accuracy.

For this implementation see "Option pricing formulas", E.G. Haug, McGraw-Hill 1998

todo check accuracy of this algorithm and compare with:

1) Drezner, Z, (1978), Computation of the bivariate normal integral, Mathematics of Computation 32, pp. 277-279. 2) Drezner, Z. and Wesolowsky, G. O. (1990) On the Computation of the Bivariate Normal Integral', Journal of Statistical Computation and Simulation 35, pp. 101-107. 3) Drezner, Z (1992) Computation of the Multivariate Normal Integral, ACM Transactions on Mathematics Software 18, pp. 450-460. 4) Drezner, Z (1994) Computation of the Trivariate Normal Integral, Mathematics of Computation 62, pp. 289-294. 5) Genz, A. (1992)Numerical Computation of the Multivariate Normal Probabilities', J. Comput. Graph. Stat. 1, pp. 141-150.

test

the correctness of the returned value is tested by checking it against known good results.

Hierarchy

  • BivariateCumulativeNormalDistributionDr78

Index

Constructors

Properties

Methods

Constructors

constructor

Properties

Private _rho

_rho: Real

Private _rho2

_rho2: Real

Methods

f

  • Parameters

    Returns Real