Characteristic Functions in the prob package

2 Characteristic functions 2 2.1 Beta distribution: cfbeta(t, shape1, shape2, ncp = 0) . . . . . . . . . . . . . . . . . . . 2 2.2 Binomial distribution: cfbinom(t, size, prob) . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 Cauchy Distribution: cfcauchy(t, location = 0, scale = 1) . . . . . . . . . . . . . . . . 4 2.4 Chi-square Distribution: cfchisq(t, df, ncp = 0) . . . . . . . . . . . . . . . . . . . . . . . 4 2.5 Exponential Distribution: cfexp(t, rate = 1) . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.6 F Distribution: cff(t, df1, df2, ncp, kmax = 10) . . . . . . . . . . . . . . . . . . . . . . 5 2.7 Gamma Distribution: cfgamma(t, shape, rate = 1, scale = 1/rate) . . . . . . . . . . . 6 2.8 Geometric Distribution: cfgeom(t, prob) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.9 Hypergeometric Distribution: cfhyper(t, m, n, k) . . . . . . . . . . . . . . . . . . . . . . . 6 2.10 Logistic Distribution: cflogis(t, location = 0, scale = 1) . . . . . . . . . . . . . . . . 7 2.11 Lognormal Distribution: cflnorm(t, meanlog = 0, sdlog = 1) . . . . . . . . . . . . . . . 7 2.12 Negative Binomial Distribution: cfnbinom(t, size, prob, mu) . . . . . . . . . . . . . . . . 8 2.13 Normal Distribution: cfnorm(t, mean = 0, sd = 1) . . . . . . . . . . . . . . . . . . . . . . 9 2.14 Poisson Distribution: cfpois(t, lambda) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.15 Wilcoxon Signed Rank Distribution: cfsignrank(t, n) . . . . . . . . . . . . . . . . . . . . . 9 2.16 Student’s t Distribution: cft(t, df, ncp) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.17 Continuous Uniform Distribution: cfunif(t, min = 0, max = 1) . . . . . . . . . . . . . . . 11 2.18 Weibull Distribution: cfweibull(t, shape, scale = 1) . . . . . . . . . . . . . . . . . . . . 11 2.19 Wilcoxon Rank Sum Distribution: cfwilcox(t, m, n) . . . . . . . . . . . . . . . . . . . . . 12