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1. Derive the mean and variance of Be(p) using the exponential family of densities. 2. Derive the distribution of Chi Square Distribution using Gamma function.

1. Derive the mean and variance of Be(p) using the exponential family of densities. 2. Derive the distribution of Chi Square Distribution using Gamma function.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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III. Do what is indicated in order to answer the following problems, use black pen only. Do as neatly as you can. 1. Derive the mean and variance of Be(p) using the exponential family of densities. 2. Derive the distribution of Chi Square Distribution using Gamma function. 3. The probability that a person dies from a respiratory infection is 0.002. Find the probability that fewer than 5 of the next 2000 so infected will die. 4. Let X~N(0,0²). Find the CRLB for variances of the unbiased estimator of T(0)= 0². 5. Let X be a random sample from Ge(p). Find the MLE for p.
Transcribed Image Text:III. Do what is indicated in order to answer the following problems, use black pen only. Do as neatly as you can. 1. Derive the mean and variance of Be(p) using the exponential family of densities. 2. Derive the distribution of Chi Square Distribution using Gamma function. 3. The probability that a person dies from a respiratory infection is 0.002. Find the probability that fewer than 5 of the next 2000 so infected will die. 4. Let X~N(0,0²). Find the CRLB for variances of the unbiased estimator of T(0)= 0². 5. Let X be a random sample from Ge(p). Find the MLE for p.
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