Complete Class Theorems Derived from Conditional Complete Class Theorems
Complete Class Theorems Derived from Conditional Complete Class Theorems
Let $(\mathscr{X}, \mathscr{B}_1, \mu)$ and $(\mathscr{Y}, \mathscr{B}_2, \nu)$ be $\sigma$-finite measure spaces and suppose $\Theta$ is a separable metric space. Let $f(x \mid y, \theta)$ be a family of conditional densities on $(\mathscr{X}, \mathscr{B}, \mu).$ Consider an action space $A$ which is a compact metric space with $\mathscr{B}_A$ the Borel …