# pMixHoeffInd: Null asymptotic distribution of t* in the mixed 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 mixed case. That is, in the case that t* is generated a sample from an independent bivariate distribution where one coordinate is marginally discrete and the other marginally continuous.

## Usage

 ```1 2 3 4 5 6 7``` ```pMixHoeffInd(x, probs, lower.tail = T, error = 10^-6) dMixHoeffInd(x, probs, error = 10^-3) rMixHoeffInd(n, probs, error = 10^-8) qMixHoeffInd(p, probs, error = 10^-4) ```

## Arguments

 `x` the value (or vector of values) at which to evaluate the function. `probs` a vector of probabilities corresponding to the (ordered) support the marginally discrete random variable. That is, if the marginally discrete distribution has support u_1,...,u_n then the ith entry of probs should be the probability of seeing u_i. `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

dMixHoeffInd gives the density, pMixHoeffInd gives the distribution function, qMixHoeffInd gives the quantile function, and rMixHoeffInd generates random samples.

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