Consider the log likelihood function L(x | 0) where 0 = (01,02)' is a vector of parameters . Let 0* be the value of 0 that makes the gradient of L(x | 0) with respect to 0 equal to vector 0. The hessian matrix evaluated at V3 The log likelihood at 0* is then 1 2 critical 0* is given by H = V3 (a) a local maximum (b) a local minimum (c) a saddle point (d) 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the log likelihood function L(x | 0) where 0 = (01,02)' is a vector of parameters . Let 0* be
the value of 0 that makes the gradient of L(x | 0) with respect to 0 equal to vector 0. The hessian matrix evaluated at
V3
The log likelihood at 0* is then
1
2
critical 0* is given by H =
V3
(a) a local maximum
(b) a local minimum
(c) a saddle point
(d) 0
Transcribed Image Text:Consider the log likelihood function L(x | 0) where 0 = (01,02)' is a vector of parameters . Let 0* be the value of 0 that makes the gradient of L(x | 0) with respect to 0 equal to vector 0. The hessian matrix evaluated at V3 The log likelihood at 0* is then 1 2 critical 0* is given by H = V3 (a) a local maximum (b) a local minimum (c) a saddle point (d) 0
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