Show which of the estimators possess this property
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![IT HAS BEEN FOUND THAT A FLUCTUATING ELECTRIC CURRENT X AT ONE OF THE ESKOM SUBSTATIONS HAS A UNIFORM
PROBABILITY DISTRIBUTION,
f(x) =
a≤x≤b
otherwise
a+b
(b-a)²
WITH E(X) = AND Var (X) =
12
AS THE STATISTICIAN AT ESKOM AND HAVE BEEN GIVEN A RANDOM SAMPLE
OF 7 MEASUREMENTS X₁, X₂,,X, OF THE ELECTRIC CURRENT TO INFER ABOUT THE MEAN FLUCTUATION OVER A SPECIFIC
PERIOD. AFTER CAREFUL CONSIDERATION YOU HAVE IDENTIFIED THREE POSSIBLE ESTIMATORS
0₁ = X₁+X7, 0₂ = X₁ +2X₂+X AND 3 = X
3
Show which of the estimators possess this property](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a2fdcd3-45bd-436b-8376-79a01a17966a%2Fd2195bfe-418b-4eab-a06b-47f398bf30de%2Fb9ix6sn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:IT HAS BEEN FOUND THAT A FLUCTUATING ELECTRIC CURRENT X AT ONE OF THE ESKOM SUBSTATIONS HAS A UNIFORM
PROBABILITY DISTRIBUTION,
f(x) =
a≤x≤b
otherwise
a+b
(b-a)²
WITH E(X) = AND Var (X) =
12
AS THE STATISTICIAN AT ESKOM AND HAVE BEEN GIVEN A RANDOM SAMPLE
OF 7 MEASUREMENTS X₁, X₂,,X, OF THE ELECTRIC CURRENT TO INFER ABOUT THE MEAN FLUCTUATION OVER A SPECIFIC
PERIOD. AFTER CAREFUL CONSIDERATION YOU HAVE IDENTIFIED THREE POSSIBLE ESTIMATORS
0₁ = X₁+X7, 0₂ = X₁ +2X₂+X AND 3 = X
3
Show which of the estimators possess this property
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