2.Handin Let Y,, Y2, .,Yn denote a random sample from a power family distribution with parameter 0. (By®-1 fyle) = { 30 0

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2.Handin
Let Y1, Y2, .,Yn denote a random sample from a power family distribution with parameter 0.
(@y®-1
ful®) = -
30
0<y< 3,
0,
elsewhere.
2.1. Show that E (Y) =
30
- and derive the method of moments estimator for 0.
0+1
2.2. Show that this MoM estimator is unbiased.
Transcribed Image Text:2.Handin Let Y1, Y2, .,Yn denote a random sample from a power family distribution with parameter 0. (@y®-1 ful®) = - 30 0<y< 3, 0, elsewhere. 2.1. Show that E (Y) = 30 - and derive the method of moments estimator for 0. 0+1 2.2. Show that this MoM estimator is unbiased.
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