We present 3 yr of timing observations for PSR J1453+1902 , a 5.79-ms pulsar discovered during a 430-MHz drift-scan survey with the Arecibo telescope . Our observations show that PSR J1453+1902 is solitary and has a proper motion of 8 \pm 2 mas yr ^ { -1 } . At the nominal distance of 1.2 kpc estimated from the pulsar ’ s dispersion measure , this corresponds to a transverse speed of 46 \pm 11 km s ^ { -1 } , typical of the millisecond pulsar population . We analyse the current sample of 55 millisecond pulsars in the Galactic disk and revisit the question of whether the luminosities of isolated millisecond pulsars are different from their binary counterparts . We demonstrate that the apparent differences in the luminosity distributions seen in samples selected from 430-MHz surveys can be explained by small-number statistics and observational selection biases . An examination of the sample from 1400-MHz surveys shows no differences in the distributions . The simplest conclusion from the current data is that the spin , kinematic , spatial and luminosity distributions of isolated and binary millisecond pulsars are consistent with a single homogeneous population .