for, en} be a random sample of e. e -N (0, o?), where o? >0. Let Y, = a +Let {e1, e2,i = 1,...,n and some a > 0. To estimate the unknown parameter a with data {y, ., yn}, considerthe following estimator G:ΣΥ,+ Jmax (Υ), Υ)max{Y 1, Y n}G3nWhich of the following statements is correct?O a. G is an unbiased estimator.O b. E(G) = 0O C. E(G) > aO d. E(G) < aO e. G is an biased estimator, but there is no way to know that whether E(G) < 0 or E(G) > 0.

Answer: a. G is an unbiased estimator.

en} be a random sample of e. e~ N(0, o²), where o >0. Let Y, = a+ e;, for Let {e,, e2, ', i = 1, ·.,nand some a > 0. To estimate the unknown parameter a with data {y, the following estimator G: ', Yn} , consider n G 25Y,+ max{Y 1, Y m} Y n} 3n Which of the following statements is correct? O a. G is an unbiased estimator. O b. E(G) = 0 O C. E(G) > a O d. E(G) < a O e. G is an biased estimator, but there is no way to know that whether E(G) < 0 or E(G) > 0.

en} be a random sample of e. e~ N(0, o²), where o >0. Let Y, = a+ e;, for Let {e,, e2, ', i = 1, ·.,nand some a > 0. To estimate the unknown parameter a with data {y, the following estimator G: ', Yn} , consider n G 25Y,+ max{Y 1, Y m} Y n} 3n Which of the following statements is correct? O a. G is an unbiased estimator. O b. E(G) = 0 O C. E(G) > a O d. E(G) < a O e. G is an biased estimator, but there is no way to know that whether E(G) < 0 or E(G) > 0.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

for
, en} be a random sample of e. e -
N (0, o?), where o? >0. Let Y, = a +
Let {e1, e2,
i = 1,
...,n and some a > 0. To estimate the unknown parameter a with data {y, ., yn}, consider
the following estimator G:
ΣΥ,+ Jmax (Υ), Υ)
max{Y 1, Y n}
G
3n
Which of the following statements is correct?
O a. G is an unbiased estimator.
O b. E(G) = 0
O C. E(G) > a
O d. E(G) < a
O e. G is an biased estimator, but there is no way to know that whether E(G) < 0 or E(G) > 0.

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