Let, Y Y2,- Maussian trandgm varcia sles with przobability dens its tunction Yn be independent randem inverese 2 exp 2ny3 24x סל, סלM, (a) Show that, this dist" is a member of the exponential family Note: [ f(y; d, d) = exg aj c0) bj(y) + c@) + d@)] |(6) wpite down css fon u and d ) Given that E CY) = u stVaecy) = , show that the method of moments estim atons of u and are Mこ Y und ) Aer û ů and ĥ MVUE ut u and d? explain

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
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Maussian trandgm varziasles with przobatoility donsity
tunction
Yn
be independenf randem inverese
fcy)
exp(-4
2.
| 2ny3
(a) Show that, this dist" is a member of the
exponential family.
Note:
I f(y; d, ) = ex
aj (8) bjly) + c@) + d@)
CSS
for u and d
) wpite down css
e Giren that E CY) = U sVae(Y) =
the method of moments estimatons of u and
are û = 7
Show that
ane
) Aer ü ans À MVUE uf u and d? explain
Transcribed Image Text:Maussian trandgm varziasles with przobatoility donsity tunction Yn be independenf randem inverese fcy) exp(-4 2. | 2ny3 (a) Show that, this dist" is a member of the exponential family. Note: I f(y; d, ) = ex aj (8) bjly) + c@) + d@) CSS for u and d ) wpite down css e Giren that E CY) = U sVae(Y) = the method of moments estimatons of u and are û = 7 Show that ane ) Aer ü ans À MVUE uf u and d? explain
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