Nuisance parameter (source code)

= Nuisance parameter
{wiki}

A <nuisance parameter> is a <statistical parameter> required to specify the distribution of observations but not itself the target of inference. A <profile likelihood> maximizes over it; <Bayesian model evidence> integrates over it using a proper <prior distribution>. These operations differ and need not give the same inference. A <baseline hazard> in a <Cox proportional-hazards model> is an infinite-dimensional example.