Q2. Suppose you have the same pdf given in Q1 with known B. The goal is to estimate the unknown 0. But suppose that, instead of observing X1,...,X, exactly, you only get to see whether or not each X; is less than 5. That is, you only observe Y1,..., Ym where 19• • (1, X, 5 5 Y, =. 0, X, > 5 ,i = 1,..., n. a) What is the distribution from which Y1,..., Y, is sampled? 19•••, n b) Using the corrupted data Y,...,Y, only, discuss how to find the numeric values of the MLE 0.

Q2. Suppose you have the same pdf given in Q1 with known B. The goal is to estimate the unknown 0. But suppose that, instead of observing X1,...,X, exactly, you only get to see whether or not each X; is less than 5. That is, you only observe Y1,..., Ym where 19• • (1, X, 5 5 Y, =. 0, X, > 5 ,i = 1,..., n. a) What is the distribution from which Y1,..., Y, is sampled? 19•••, n b) Using the corrupted data Y,...,Y, only, discuss how to find the numeric values of the MLE 0.

Name: Q1. Let X,..,X, are iid from a distribution withpdfF(xe) = 9B°X2 βwhe
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Description: Q1. Let X,..,X, are iid from a distribution withpdfF(xe) = 9B°X2 βwhere B and 0are positive unknownparameters. Q2. Suppose you have the same pdf given in Q1with known ß. The goal is to estimate theunknown 0. But suppose that, instead of observingX1,

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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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

Q1. Let X,..,X, are iid from a distribution with
pdf
F(xe) = 9B°
X2 β
where B and 0
are positive unknown
parameters.

Q2. Suppose you have the same pdf given in Q1
with known ß. The goal is to estimate the
unknown 0. But suppose that, instead of observing
X1,...,X, exactly, you only get to see whether or
not each X; is less than 5. That is, you only observe
Y,..., Y, where
1, X; < 5
Y,
0, Х, > 5
i = 1,..., n.
a) What is the distribution from which
Y1,..., Y, is sampled?
• • •
b) Using the corrupted data Y1,...,Y, only,
discuss how to find the numeric values of the
MLE 0.

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