  We consider component-wise estimation of order restricted location/scale
parameters of a general bivariate location/scale distribution under the
generalized Pitman nearness criterion (GPN). We develop some general results
that, in many situations, are useful in finding improvements over
location/scale equivariant estimators. In particular, under certain conditions,
these general results provide improvements over the unrestricted Pitman nearest
location/scale equivariant estimators and restricted maximum likelihood
estimators. The usefulness of the obtained results is illustrated through their
applications to specific probability models. A simulation study has been
considered to compare how well different estimators perform under the GPN
criterion with a specific loss function.
