/* 10-4-2023 FP bias */ fx = f0 + x f1 p0 = Integrate[ fx, {x,-h,0} ] p1 = Integrate[ fx, {x, 0,h} ] m0 = (1/2 - x/h) m1 = (1/2 + x/h) ev$x = m0 n p0 / ( n h ) + m1 n p1 / ( n h ) Expand[ ev$x ] bias = ev$x - fx fx = f0 + x f1 + x^2 f2 /2 ibs$0 = Expand[ Integrate[ bias^2, {x, -h/2, h/2 } ] ] var$x = m0^2/(n h)^2 n p0 (1-p0) + m1^2/(n h)^2 n p1 (1-p1) + 2 m0 m1 / (n h)^2 (-n p0 p1) var$0 = Integrate[ var$x, {x, -h/2, h/2}]