Let a = 1 ,, p and b = b 1 ,,b p , where a j b j , be the crdinates

Let a = α

1

,…,α

p and b = b 1

,…,b p

, where a j ≤ b j

, be the c∞rdinates of two points in R

p and denote by (a,b) the Cartesian product in R p of the intervals (a j

,bj). Let f(x) =

f(x l

,…. xp) be a p-dimensional joint density function and define F

(a,

b) = ∫

x∈(a,b)

f (x)dx where dx = dx1 … dxp. Express F(a,b) in terms of the cumulative distribution function F(x) ≡ F(−∞, x) evaluated at points with c∞rdinates x j= a j or b j

. Comment briefly on the similarities with and differences from (2.9).

(k − 1)ρ

2 13 = m−1 {∑π

−1 j − k 2},

(k − 1)ρ

2 23 = m−1 {∑π

−1 j − 3k + 2}

(k − 1)ρ4 = m−1 {∑π

−1 j − k 2

¯¯¯¯¯− 2 (k − 1)},