bat 1
047397849f63b4fcfced4ff720159f3d-Supplemental-Conference.pdf
The ε-sensitivity of distributions is defined below. Next, we provide the following lemma. Suppose that the distribution map D(θ) forms a location family (7). To show the L-Lipschitz continuity of PR(θ), it suffices to show that there exists a positive constant L such that, for any θ,θ0 Θ, kPR(θ) PR(θ0)k2 Lkθ θ0k2. Thus, there exists a constant L Lθ + LZσmax(A) such that PR(θ) PR(θ0) 2 L θ θ0 2, θ,θ0 Θ, which proves the L-Lipschitz continuity of PR(θ).