(b) Define a scaled ridge estimator 3" = (1+ c)(X"x + \I)-'x™Y, where A>0 and e > 0 are tuning parameters. Show that (E3" – 3)" (Eâ" – 8) - (cd; d; + X Suppose that A > 0, and d1,., dp are not all cqual. Does there exist a c such that B" is an ....

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3
(b) Define a scaled ridge estimator
= (1+ c)(XTx + AI)-'x™Y,
where A> 0 and c> 0 are tuning paramneters. Show that
P
(EG" – 8)" (E6" – 8)
(cd,
d; + A
j=1
Suppose that > 0, and d1,..., d, are not all equal. Docs there exist a c such that 3" is an
unbiased estimator of 3? If so, then find such value of c.
Transcribed Image Text:(b) Define a scaled ridge estimator = (1+ c)(XTx + AI)-'x™Y, where A> 0 and c> 0 are tuning paramneters. Show that P (EG" – 8)" (E6" – 8) (cd, d; + A j=1 Suppose that > 0, and d1,..., d, are not all equal. Docs there exist a c such that 3" is an unbiased estimator of 3? If so, then find such value of c.
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