Description Usage Arguments Value See Also Examples
cfX_Rectangular(t, a, b) evaluates the characteristic function cf(t) of the Rectangular distribution on the interval (a, b) (Rectangular distribution with mean = (a + b)/2 and variance = 1/12(b - a)^2) cfX_Rectangular(t, a, b) = (exp(ibt) - exp(iat))/(i(b - a)t)
1 | cfX_Rectangular(t, a = -1, b = 1)
|
t |
numerical values (number, vector...) |
a |
number, default value a = -1 |
b |
number, default value b = 1 |
characteristic function cf(t) of the Rectangular distribution on the interval (a, b)
For more details see WIKIPEDIA: https://en.wikipedia.org/wiki/Normal_distribution
Other Continuous Probability distribution: cfS_Arcsine
,
cfS_Beta
, cfS_Gaussian
,
cfS_Rectangular
,
cfS_StudentT
,
cfS_Trapezoidal
,
cfS_Triangular
, cfX_Beta
,
cfX_ChiSquared
,
cfX_Exponential
, cfX_Gamma
,
cfX_InverseGamma
,
cfX_LogNormal
, cfX_Normal
,
cfX_PearsonV
, cfX_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 (-2,1))
t <- seq(-50, 50, length.out = 501)
plotGraf(function(t)
cfX_Rectangular(t, a = -2, b = 1), t, title = "CF of the Rectangular distribution on (-2,1)")
## EXAMPLE2 (PDF/CDF of the Rectangular distribution on (-2,1))
cf <- function(t)
cfX_Rectangular(t, a = -2, b = 1)
x <- seq(-2, 1, length.out = 101)
prob <- c(0.9, 0.95, 0.99)
xRange <- 3
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 (-2,1))
cf <- function(t)
cfX_Rectangular(t, a = -2, b = 1)
x <- seq(-2, 1, length.out = 101)
prob <- c(0.9, 0.95, 0.99)
result <- cf2DistGP(cf,
x,
prob,
xMin = -2,
xMax = 1,
N = 2)
|
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