central2raw | R Documentation |
This function transforms a vector, matrix or data frame of central moments to a vector, matrix or data frame of raw moments.
central2raw(mu.central,eta)
mu.central |
A numeric vector, matrix or data frame of central moments. For a vector, mu.central[0] is the order 0 central moment, mu.central[1] is the order 1 central moment and so forth. For a matrix or data frame, row vector mu.central[0,] contains the order 0 central moments, row vector mu.central[1,] contains the order 1 central moments and so forth. |
eta |
A numeric vector of sample mean or expected values |
A vector matrix or data frame of raw moments. For matrices and data frame, column vectors correspond to different random variables.
Frederick Novomestky fnovomes@poly.edu
Papoulis, A., Pillai, S. U. (2002) Probability, Random Variables and Stochastic Processes, Fourth Edition, McGraw-Hill, New York, 146-147.
moment
,
all.moments
,
raw2central
set.seed(1234) x <- rnorm(10000) mu.raw.x <- all.moments( x, order.max=4 ) eta.x <- mu.raw.x[2] mu.central.x <- all.moments( x, central=TRUE, order.max=4 ) central2raw( mu.central.x, eta.x ) mu.raw.x M <- matrix( x, nrow=1000, ncol=10 ) mu.raw.M <- all.moments( M, order.max=4 ) eta.M <- mu.raw.M[2,] mu.central.M <- all.moments( M, central=TRUE, order.max=4 ) central2raw( mu.central.M, eta.M ) mu.raw.M D <- data.frame( M ) mu.raw.D <- all.moments( D, order.max=4 ) eta.D <- mu.raw.D[2,] mu.central.D <- all.moments( D, central=TRUE, order.max=4 ) central2raw( mu.central.D, eta.D ) mu.raw.D
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