# hw4 - BTRY/STSCI 4090 Homework 4 Due In class 10:10am...

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BTRY/STSCI 4090: Homework 4 Due: In class, 10:10am: Tuesday, April 15. Please show all work. A complete solution includes an explanation/derivation as appropriate, not just an answer. 1 Sufficiency for sample of Poisson random variables Suppose X 1 , . . . , X n Poisson( λ ) is an iid sample. (a) Consider T = n i =1 X i . What is the distribution of
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Unformatted text preview: X 1 ,...,X n given T ? (b) Explain why your calculation in (a) shows that T is suﬃcient for λ . (c) Show that T is suﬃcient by the factorization theorem. 2 Free throws until ﬁrst in Look back at problem 1 on Homework 3. Show that ∑ n i =1 X i is a suﬃcient statistic for p . 1...
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• Spring '10
• -1
• Probability distribution, Probability theory, probability density function, Discrete probability distribution

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