Add CDF for multivariate normal #178
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Multivariate Normal CDF
Implements the multivariate normal CDF
Algorithm
Uses the algorithm as explained in Section 4.2.2 in Computation of Multivariate Normal and t Probabilities by Alan Genz and Frank Bretz, together with the cholesky decomposition with dynamic changing of rows explained in Section 4.1.3. Specifically we use a Quasi Monte Carlo method.
Additions
ContinuousMultivariateCDFinmod.rsMultivariateUniforminmultivariate_uniform.rs(mainly for me wanting an in-house way to get uniform distribution inmean,mode,pdf,cdf,min,max,ln_pdf.chol_chrowsfor computing the Cholesky decomposition dynamically whilst changing rows for better integration limitsintegrate_pdfto integrate a multivariate pdf between limitsaandbContinuousMultivariateCDFforMultivariateNormal(andMultivariateUniform), wherecdfusesintegrate_pdfwith left limita=[f64::NEG_INFINITY; dim]and right limitx=bcdfagainstscipy.stats.multivariate_normal.cdfin python, as well asMvNormalCDFin Juliaprimesfor generating first