Description Usage Arguments Details Value Author(s) See Also

Given base probabilities, and Henery gamma coefficients, performs random generation, using R's built in rand seed, of the final outcome of a race for each participant.

1 |

`mu` |
a vector of the probabilities of taking first place. |

`gamma` |
a vector of the gamma coefficients. Should have length
one less than |

Given vectors *μ* and *γ*, first computes

*π_{1,i} = \frac{μ_i^{γ_1}}{∑_j μ_j^{γ_1}},*

then assigns a *1* to participant *i* with probability
*π_{1,i}*. The ‘winning’ participant is then removed
from consideration, and the process is repeated using the remaining
*μ* and *γ* vectors.

Typically one has that *μ_i = \exp{η_i}*, for some
‘odds’, *η_i*.

When the *γ* are all one, you recover the Harville softmax
model.

A vector, of the same length as the probabilities, giving
the entry of each horse. Note that the expected value of this
returned thing makes sense, it is *not* the finished rank ordering
of a race.

Steven E. Pav shabbychef@gmail.com

Embedding an R snippet on your website

Add the following code to your website.

For more information on customizing the embed code, read Embedding Snippets.