Description Usage Arguments Value See Also Examples
cfS_Arcsine(t) evaluates the characteristic function cf(t) of the symmetric zero-mean Arcsine distribution on the interval (-1,1) (U-shaped distribution with mean = 0 and variance = 1/2
cfS_Arcsine(t) = besselj(0,t)
1 |
t |
numerical values (number, vector...) |
characteristic function cf(t) of the Arcsine distribution
For more details see WIKIPEDIA: https://en.wikipedia.org/wiki/Arcsine_distribution
Other Continuous Probability distribution: 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_Rectangular
,
cfX_Triangular
Other Symetric Probability distribution: cfS_Gaussian
,
cfS_Rectangular
,
cfS_StudentT
,
cfS_Trapezoidal
,
cfS_Triangular
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | ## EXAMPLE1 (CF of the symmetric Arcsine distribution on (-1,1))
t <- seq(-50, 50, length.out = 501)
plotGraf(function(t)
cfS_Arcsine(t), t, title = "CF of the symmetric Arcsine distribution on (-1,1)")
## EXAMPLE2 (PDF/CDF of the symmetric Arcsine distribution on (-1,1))
cf <- function(t)
cfS_Arcsine(t)
x <- seq(-1, 1, length.out = 501)
prob <- c(0.9, 0.95, 0.99)
xRange <- 2
N <- 2 ^ 12
option <- list()
option$dt <- 2 * pi / xRange
result <- cf2DistGP(cf, x, prob, option, N = N)
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