# pDisHoeffInd: Null asymptotic distribution of t* in the discrete case In TauStar: Efficient Computation and Testing of the Bergsma-Dassios Sign Covariance

## Description

Density, distribution function, quantile function and random generation for the asymptotic null distribution of t* in the discrete case. That is, in the case that t* is generated from a sample of jointly discrete independent random variables X and Y.

## Usage

 ```1 2 3 4 5 6 7``` ```pDisHoeffInd(x, probs1, probs2, lower.tail = T, error = 10^-5) dDisHoeffInd(x, probs1, probs2, error = 10^-3) rDisHoeffInd(n, probs1, probs2) qDisHoeffInd(p, probs1, probs2, error = 10^-4) ```

## Arguments

 `x` the value (or vector of values) at which to evaluate the function. `probs1` a vector of probabilities corresponding to the (ordered) support of X. That is if your first random variable has support u_1,...,u_n then the ith entry of probs should be eqnP(X = u_i). `probs2` just as probs1 but for the second random variable Y. `lower.tail` a logical value, if TRUE (default), probabilities are P(X≤q x) otherwise P(X>x). `error` a tolerated error in the result. This should be considered as a guide rather than an exact upper bound to the amount of error. `n` the number of observations to return. `p` the probability (or vector of probabilities) for which to get the quantile.

## Value

dDisHoeffInd gives the density, pDisHoeffInd gives the distribution function, qDisHoeffInd gives the quantile function, and rDisHoeffInd generates random samples.

TauStar documentation built on May 1, 2019, 9:59 p.m.