paircomp {hyperdirichlet} | R Documentation

## Hyperdirichlet distribution for repeated Bernoulli trials

### Description

Hyperdirichlet distribution with nonzero coefficients for terms consisting of a pair of ps.

### Usage

    paircomp(x)

### Arguments

`x` | A square matrix. If players i and j play, with i<j, then player j wins `x[i,j]` trials and player i wins `x[j,i]` trials

### Details

The PDF is

propto prod_{i<j} frac{ p_i^{M[j,i]} p_j^{M[i,j]} }{ (p_i+p_j)^{M[i,j]+M[j,i]} }

### Value

Returns a hyperdirichlet object (without normalizing factor) of dimension `nrow(x)`.

### Note

Elements on the diagonal of `x` are silently ignored.

### Author(s)

Robin K. S. Hankin

### See Also

`justpairs`

### Examples

    paircomp(matrix(1:9,6,6))

[Package hyperdirichlet version 1.3-8 Index]