Let a = 1 ,, p and b = b 1 ,,b p , where a
Question:
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)},
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Related Book For
Tensor Methods In Statistics Monographs On Statistics And Applied Probability
ISBN: 9781315898018
1st Edition
Authors: Peter McCullagh
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