• Let X1, X2, ... , X,, be a random sample from Poi(2). Find CRLB for t(1) = 1 • t(1) = e-A

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Let X1, X2, .. , Xn be a random sample from Poi(a). Find CRLB for
• (1) = 1
• t(1) = e-1
• Let X1,X2, .., Xn be a random sample from Ber(p). Define T = X, and let
S = £X; be a sufficient statistic. Find the Rao-Blackwellized estimator T'
for p.
• Let X1, X2, ..., Xn be a random sample from Exp(1), where 1 is unknown.
Define S = EX; as a complete sufficient statistic. Use the Lehmann-Scheffe
Theorem to determine the UMVUE for A.
Transcribed Image Text:Let X1, X2, .. , Xn be a random sample from Poi(a). Find CRLB for • (1) = 1 • t(1) = e-1 • Let X1,X2, .., Xn be a random sample from Ber(p). Define T = X, and let S = £X; be a sufficient statistic. Find the Rao-Blackwellized estimator T' for p. • Let X1, X2, ..., Xn be a random sample from Exp(1), where 1 is unknown. Define S = EX; as a complete sufficient statistic. Use the Lehmann-Scheffe Theorem to determine the UMVUE for A.
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