((C) (; {)) Consider the family of bivariate normal distributions, N2 (a) Does the model belong to the exponential family of distributions? (b) Find the minimal sufficient statistic for p; (c) Prove that the model belongs to a curved 2-parameter exponential family of distributions;
((C) (; {)) Consider the family of bivariate normal distributions, N2 (a) Does the model belong to the exponential family of distributions? (b) Find the minimal sufficient statistic for p; (c) Prove that the model belongs to a curved 2-parameter exponential family of distributions;
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 5E
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8. Consider the family of bivariate normal distributions, N2
(a) Does the model belong to the exponential family of distributions?
(b) Find the minimal sufficient statistic for p;
(c) Prove that the model belongs to a curved 2-parameter exponential family of distributions;
(d) Find the natural parameters of the model.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafa3a03e-a757-4e0a-8c6e-37c7674548b7%2Fd7f0bf7c-2c53-4225-bdca-d5481304465f%2F4p7kx1_processed.png&w=3840&q=75)
Transcribed Image Text:* ((:) (; ;))
8. Consider the family of bivariate normal distributions, N2
(a) Does the model belong to the exponential family of distributions?
(b) Find the minimal sufficient statistic for p;
(c) Prove that the model belongs to a curved 2-parameter exponential family of distributions;
(d) Find the natural parameters of the model.
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