a1 a1 a1 a1 .772352 .8 .64 .7712 .773504 a2 a2 a2 a2 .82 .656 .77408 a3 a3 a3 a3 1.0 .8 .77408 .8 FX (1) = .8 , FX (2) = .82 P(a1) = 0.8 P(a2) = 0.02 FX (3) = 1, FX (k) = 0, k < 0 P(a3) = 0.18 FX (k) = 1, k> 3 Sequence 1, 3, 2, 1 Recursion relations = 0, u(0) = 1 = + [u(n-1) - FX l(0) l(n) l(n-1) l(n-1)] (Xn-1 ) element = 1 u(n) = + [u(n-1) - FX l(n-1) l(n-1)] (Xn) = 0 + (1-0) 0 = 0 l(1) u(1) = 0 + (1-0).8 = .8 II Element 3 = 0 + (.8 - 0) FX (2) = .656 l(2) u(2) = 0 + (.8- 0) FX (3) = .8 a1a1 = 0.8*0.8 = 0.64 a1a3 = 0.8*0.18 = 0.144 a1a2 = 0.8*0.02 = 0.016 0.656+0.144 = 0.8 0.64+0.016 = 0.656 III Element 2 = .656 + (.8 - .656) .8 = .7712 l(3)
a1 a1 a1 a1 .772352 .8 .64 .7712 .773504 a2 a2 a2 a2 .82 .656 .77408 a3 a3 a3 a3 1.0 .8 .77408 .8 FX (1) = .8 , FX (2) = .82 P(a1) = 0.8 P(a2) = 0.02 FX (3) = 1, FX (k) = 0, k < 0 P(a3) = 0.18 FX (k) = 1, k> 3 Sequence 1, 3, 2, 1 Recursion relations l(0) = 0, u(0) = 1 l(n) = l(n-1) + [u(n-1) - l(n-1)] FX (Xn-1 ) element = 1 u(n) = l(n-1) + [u(n-1) - l(n-1)] FX (Xn) l(1) = 0 + (1-0) 0 = 0 u(1) = 0 + (1-0).8 = .8 II Element 3 l(2) = 0 + (.8 - 0) FX (2) = .656 u(2) = 0 + (.8- 0) FX (3) = .8 a1a1 = 0.8*0.8 = 0.64 a1a3 = 0.8*0.18 = 0.144 a1a2 = 0.8*0.02 = 0.016 0.656+0.144 = 0.8 0.64+0.016 = 0.656 III Element 2 l(3) = .656 + (.8 - .656) .8 = .7712