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Consider the vector a 12 of three observations and let and where a and az a22 are vectors of unknown constants. Also define, 02.1 a3.1 03,2 T; = (3.a B21) () and T = (Ba Ba2 B1.1 %3D 22 where 3,= and B B21 are also vectors of unknown constants, and let B22 fi(x) = + e and fa(x) = (b) Suppose R= - [(1 – y) log fi(æ) + y log fa(). (i) Show that for k = 1,2; ƏR -(-1)* (1 – y) fa(x) – usi(æ) | (ii) Also show that for s 1,2, %3D ƏR E(-1)* [(1 – y) f2(x) – yf1(æ)| Br. da, k=1

Consider the vector a 12 of three observations and let and where a and az a22 are vectors of unknown constants. Also define, 02.1 a3.1 03,2 T; = (3.a B21) () and T = (Ba Ba2 B1.1 %3D 22 where 3,= and B B21 are also vectors of unknown constants, and let B22 fi(x) = + e and fa(x) = (b) Suppose R= - [(1 – y) log fi(æ) + y log fa(). (i) Show that for k = 1,2; ƏR -(-1)* (1 – y) fa(x) – usi(æ) | (ii) Also show that for s 1,2, %3D ƏR E(-1)* [(1 – y) f2(x) – yf1(æ)| Br. da, k=1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The question to be answered is part b. Thanks.

Consider the vector r of three observations and let and 21 = 1+ eaz 011 012 where a = and az = are vectors of unknown constants. Also define, a2,1 22 03,1 03.2 21 and T2 = (B12 B22) 21 T; = (31.1 B21) () B12 and B2 B2.1 where B = are also vectors of unknown constants, and let B22) eT fi(a) = and f2(x) = %3D eT + e %3D (b) Suppose R = -[(1 – y) log fi(æ) + y log f2(x)). (i) Show that for k = 1, 2; OR 21 (-1)* [(1 – y) f2(x) – yfi(x)] 22 (ii) Also show that for s = 1,2, 2 ƏR -1)* (1 – 9) f2(æ) – yfi(x)] B da, k=1
Transcribed Image Text:Consider the vector r of three observations and let and 21 = 1+ eaz 011 012 where a = and az = are vectors of unknown constants. Also define, a2,1 22 03,1 03.2 21 and T2 = (B12 B22) 21 T; = (31.1 B21) () B12 and B2 B2.1 where B = are also vectors of unknown constants, and let B22) eT fi(a) = and f2(x) = %3D eT + e %3D (b) Suppose R = -[(1 – y) log fi(æ) + y log f2(x)). (i) Show that for k = 1, 2; OR 21 (-1)* [(1 – y) f2(x) – yfi(x)] 22 (ii) Also show that for s = 1,2, 2 ƏR -1)* (1 – 9) f2(æ) – yfi(x)] B da, k=1
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