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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

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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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