Library "NormalDistributionFunctions" The NormalDistributionFunctions library encompasses a comprehensive suite of statistical tools for financial market analysis. It provides functions to calculate essential statistical measures such as mean, standard deviation, skewness, and kurtosis, alongside advanced functionalities for computing the probability density...
Library "normsinv" Description: Returns the inverse of the standard normal cumulative distribution. The distribution has a mean of zero and a standard deviation of one; i.e., normsinv seeks that value z such that a normal distribtuion of mean of zero and standard deviation one is equal to the input probability. Reference: github.com normsinv(y0)...
Library "cndev" This function returns the inverse of cumulative normal distribution function Reference: The Full Monte, by Boris Moro, Union Bank of Switzerland . RISK 1995(2) CNDEV(U) Returns the inverse of cumulative normal distribution function Parameters: U : float, Returns: float.
Library "ctnd" Description: Double precision algorithm to compute the cumulative trivariate normal distribution found in A.Genz, Numerical computation of rectangular bivariate and trivariate normal and t probabilities”, Statistics and Computing, 14, (3), 2004. The cumulative trivariate normal is needed to price window barrier options, see G.F. Armstrong,...
Library "norminv" Description: An inverse normal distribution is a way to work backwards from a known probability to find an x-value. It is an informal term and doesn't refer to a particular probability distribution. Returns the value of the inverse normal distribution function for a specified value, mean, and standard deviation. Reference: ...
Library "cnd" Cumulative Normal Distribution CND1(x) Returns the Cumulative Normal Distribution (CND) using the Hart (1968) method. (preferred method, 14-18 decimal accuracy) Parameters: x : float, Returns: float. CND2(x) Returns the Cumulative Normal Distribution (CND) using the Abromowitz and Stegun (1974) Polynomial...