... polynomial functions available, including a piecewise constant function, a piecewise linear function over cone, high-dimensional splines, and etc., the one we consider here is a linear function in all ... dominated convergence theorem, the integral Vth is n−1 also continuous To show that Vth is nondecreasing in σT , one should note that n−1 equation (1.3.4) implies that it’s an increasing function ... )dτ, = ρ where f is the conditional density function of τtm+1 and σtm+2 is a known continuous, bounded, and increasing function of σtm+1 Since the integrand is continuous, strictly positive,...