Description Usage Arguments Value See Also Examples
cfS_Rectangular(t) evaluates the characteristic function cf(t) of the symmetric zero-mean Rectangular distribution on the interval (-a, a) (Rectangular distribution with mean = 0 and variance = 1/3*a^2) cfS_Rectangular(t, a) = sin(at)/at
1 | cfS_Rectangular(t, a = 1)
|
t |
numerical values (number, vector...) |
a |
number, a > 0, default value a = 1 |
characteristic function cf(t) of the Rectangular distribution on the interval (-a, a)
For more details see WIKIPEDIA: https://en.wikipedia.org/wiki/Uniform_distribution_(continuous)
Other Continuous Probability distribution: cfS_Arcsine
,
cfS_Beta
, cfS_Gaussian
,
cfS_StudentT
,
cfS_Trapezoidal
,
cfS_Triangular
, cfX_Beta
,
cfX_ChiSquared
,
cfX_Exponential
, cfX_Gamma
,
cfX_InverseGamma
,
cfX_LogNormal
, cfX_Normal
,
cfX_PearsonV
,
cfX_Rectangular
,
cfX_Triangular
Other Symetric Probability distribution: cfS_Arcsine
,
cfS_Gaussian
, cfS_StudentT
,
cfS_Trapezoidal
,
cfS_Triangular
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 | ## EXAMPLE1 (CF of the Rectangular distribution on (-1,1))
t <- seq(-50, 50, length.out = 501)
plotGraf(function(t)
cfS_Rectangular(t), t, title = "CF of the Rectangular distribution on (-1,1)")
## EXAMPLE2 (PDF/CDF of the Rectangular distribution on (-1,1))
cf <- function(t)
cfS_Rectangular(t)
x <- seq(-2, 2, length.out = 101)
prob <- c(0.9, 0.95, 0.99)
xRange <- 2
option <- list()
option$N <- 2 ^ 10
option$dx <- 2 / pi / xRange
result <- cf2DistGP(cf, x, prob, option)
## EXAMPLE3 (PDF/CDF of the Rectangular distribution on (-1,1))
cf <- function(t)
cfS_Rectangular(t)
x <- seq(-1, 1, length.out = 101)
prob <- c(0.9, 0.95, 0.99)
result <- cf2DistGP(cf,
x,
prob,
xMin = -1,
xMax = 1,
N = 2)
|
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