# normalizeGaussian: Converts a random variable 'x' extracted by a population... In RMAWGEN: Multi-Site Auto-Regressive Weather GENerator

## Description

Converts a random variable x extracted by a population represented by the sample data or sample to a normally-distributed variable with assigned mean and standard deviation or vice versa in case inverse is TRUE

## Usage

 1 2 3 normalizeGaussian(x = 0, data = x, cpf = NULL, mean = 0, sd = 1, inverse = FALSE, step = NULL, prec = 10^-4, type = 3, extremes = TRUE, sample = NULL) 

## Arguments

 x value or vector of values to be converted data a sample of data on which a non-parametric probability distribution is estimated cpf cumulative probability distribution. If NULL (default) is calculated as ecdf(data) mean mean (expected value) of the normalized random variable. Default is 0. sd standard deviation of the normalized random variable. Default is 1. inverse logical value. If TRUE the function works inversely (the opposite way). Default is FALSE. step vector of values in which step discontinuities of the cumulative probability function occur. Default is NULL prec amplitude of the neighbourhood of the step discontinuities where cumulative probability function is treated as non-continuous. type see quantile extremes logical variable. If TRUE (default) the probability or frequency is multiplied by \frac{N}{N+1} where N is the length of data sample a character string or NULL containing sample or probability distribution information. Default is NULL

## Value

the normalized variable or its inverse

@note This function makes a Marginal Gaussianization. See the R code for further details

## Author(s)

Emanuele Cordano, Emanuele Eccel

RMAWGEN documentation built on May 29, 2017, 9:09 a.m.