Q1: a) Suppose that Y,.,Y, represent a random sample such that E(Y,)= µ,.........2E(r; )= 4' . E(r*)= 4" . Show that S,* =É(r, -Y) isEr, -F) is a consistent estimator forn-14o =V(Y,)b) Let X,...X,a random sample from the geometric distribution with pmf(1-0)e x= 1,2,3.p(x)=otherwisei)Find the MLE for 0ii) Find the MLE for p(x, <2)

Answered: Ql: a) Suppose that Y,.,Y, represent a…

Ql: a) Suppose that Y,.,Y, represent a random sample such that E(Y,)= u, E(Y} )= µ; , E(Y*)= 4. Show that S,= £r, -Y) is a consistent estimator for n-1 o =V(Y,)

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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Question

Q1: a) Suppose that Y,.,Y, represent a random sample such that E(Y,)= µ,
.........
2
E(r; )= 4' . E(r*)= 4" . Show that S,* =É(r, -Y) is
Er, -F) is a consistent estimator for
n-14
o =V(Y,)
b) Let X,..
.X,a random sample from the geometric distribution with pmf
(1-0)e x= 1,2,3.
p(x)=
otherwise
i)Find the MLE for 0
ii) Find the MLE for p(x, <2)

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