qad_distribution: Distribution of qad (H0: independence)
Description
Distribution function - P_H0(qad <= q) - and quantile function for the qad distribution with regard
to the null hypthesis (H0) stating independence between X and Y.
Usage
pqad(q, n, R = 1000, resolution = NULL)
qqad(p, n, R = 1000, resolution = NULL)
Value
pqad gives the distribution function, i.e. P(qad <= q). qqad gives the quantile function.
The length of the result is determined by the length of q or p, respectively.
Arguments
q
vector of quantiles.
n
number of observations (or minimum of unique values, if ties occur).
R
number of repetitions (default R = 1000)
resolution
resolution of checkerboard copula (default = NULL)
p
vector of probabilities.
Details
The distribution of qad in the setting of independence, i.e., the random variables
X and Y are independent. The distribution is calculated in the following way: Samples of size n
are drawn from independent random variables. Then qad is calculated. The procedure is repeated R times. #'