normalizeGaussian: Converts a random variable 'x' extracted by a population...

In RMAWGEN: Multi-Site Auto-Regressive Weather GENerator

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

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

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 April 12, 2025, 5:07 p.m.