If xy Xy .... Xy is a random sample from the distribution. f (x, 0) er (1- 0)-x, x = 0, 1 and 0< 0<1 %3D = 0 otherwise. Show that Y = x, + x, + ...... + x„ is a sufficient estimator %3D for 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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If x, Xy ...... xn is a random sample from the distribution.
f (x, 0)
er (1– 0y -x, x = 0, 1 and 0< 0<1
0 otherwise.
Show that Y = x, + x, + ....
+ Xn is a sufficient estimator
for 0.
Transcribed Image Text:If x, Xy ...... xn is a random sample from the distribution. f (x, 0) er (1– 0y -x, x = 0, 1 and 0< 0<1 0 otherwise. Show that Y = x, + x, + .... + Xn is a sufficient estimator for 0.
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