Completeness of Bhattacharya metric on the space of probabilities
On the space of probabilities on , the metric d1([mu], [nu]) = sup{ vb [integral operator] tf d [mu] - [integral operator] tf d[nu]vb : 0 [less-than-or-equals, slant] tf [less-than-or-equals, slant] 1, tf measurable and increasing } is a complete metric.