1）Find the complete minimal sufficient statistic for ?2）Form an ancillary statisticfor ? using the functions ? and ?.3)Verify if the ancillary statistic formed in part (b)(ii) is independent of the complete sufficient statistic found in part (b)(i). Let X1, X2, ..., Xn be independent and identically distributed randomvariables from a gamma distribution with shape parameter 0 and scaleparameter ß.(i)Find the complete minimal sufficient statistic for B.(ii)Let U =-E, Xi and V = (X, X2 … Xp)/n. Form an ancillaryLi=1%3D...statistic for B using the functions U and V.(iii)Verify if the ancillary statistic formed in part (b)(ii) is independentof the complete sufficient statistic found in part (b)(i).

Name: 1）Find the complete minimal sufficient statistic for ?2）Form an ancill
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Description: 1）Find the complete minimal sufficient statistic for ?2）Form an ancillary statisticfor ? using the functions ? and ?.3)Verify if the ancillary statistic formed in part (b)(ii) is independent of the complete sufficient statistic found in part (b)(i).

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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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1）Find the complete minimal sufficient statistic for ?

2）Form an ancillary statisticfor ? using the functions ? and ?.

3)Verify if the ancillary statistic formed in part (b)(ii) is independent of the complete sufficient statistic found in part (b)(i).

Let X1, X2, ..., Xn be independent and identically distributed random
variables from a gamma distribution with shape parameter 0 and scale
parameter ß.
(i)
Find the complete minimal sufficient statistic for B.
(ii)
Let U =-E, Xi and V = (X, X2 … Xp)/n. Form an ancillary
Li=1
%3D
...
statistic for B using the functions U and V.
(iii)
Verify if the ancillary statistic formed in part (b)(ii) is independent
of the complete sufficient statistic found in part (b)(i).

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