26 Use Theorem 6.6.5 to establish that, given a sample X1,...,Xn, the following statistics are minimal sufficient. Statistic Distribution n(0, 1) ganıma(a, B), a known uniform(0, 0) Cauchy(8, 1) logistic(, B) (a) (b) ΣΧ max X; (d) X(1), ...,X(n) (e) X(1),...,X(n)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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6.26 Use Theorem 6.6.5 to establish that, given a sample X1,..., Xn, the following statistics
are minimal sufficient.
Statistic
Distribution
n(0, 1)
gamma(a, B), a known
uniform(0,0)
Cauchy(0, 1)
logistic(u, B)
(a)
(b)
ΣΧ
max X;
(d) X(1),..., X(n)
(e) X(1), ...,X(m)
Transcribed Image Text:6.26 Use Theorem 6.6.5 to establish that, given a sample X1,..., Xn, the following statistics are minimal sufficient. Statistic Distribution n(0, 1) gamma(a, B), a known uniform(0,0) Cauchy(0, 1) logistic(u, B) (a) (b) ΣΧ max X; (d) X(1),..., X(n) (e) X(1), ...,X(m)
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