f(x)=b-c a≤x≤ b otherwise a+b WITH E(X)= -AND Var (X) = (b-a)² AS THE STATISTICIAN AT ESKOM AND HAVE BEEN GIVEN A RANDOM SAMPLE 12 OF 7 MEASUREMENTS X₁, X₂, X7 OF THE ELECTRIC CURRENT TO INFER ABOUT THE MEAN FLUCTUATION OVER A SPECIFIC

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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IT HAS BEEN FOUND THAT A FLUCTUATING ELECTRIC CURRENT X  HAS A UNIFORM
PROBABILITY DISTRIBUTION,

1.1) Name the first important property to consider when choosing between the three estimators

1.2) Show which of the estimators possess this property

1.3) Name the second important property to decide on the best estimator

1.4) Show which of the estimators possess this property and is thus the best estimator 

f(x)=b
a+b
2
0,
(b-a)²
WITH E(X)= AND Var (X) =
AS THE STATISTICIAN AT ESKOM AND HAVE BEEN GIVEN A RANDOM SAMPLE
12
OF 7 MEASUREMENTS X₁, X₂, ***, X7 OF THE ELECTRIC CURRENT TO INFER ABOUT THE MEAN FLUCTUATION OVER A SPECIFIC
PERIOD. AFTER CAREFUL CONSIDERATION YOU HAVE IDENTIFIED THREE POSSIBLE ESTIMATORS
AND 83 = X
X₁+X7
2
a≤x≤ b
otherwise
Ô₁ = ‚Ô₂:
=
X₁+2X2+X3
3
Transcribed Image Text:f(x)=b a+b 2 0, (b-a)² WITH E(X)= AND Var (X) = AS THE STATISTICIAN AT ESKOM AND HAVE BEEN GIVEN A RANDOM SAMPLE 12 OF 7 MEASUREMENTS X₁, X₂, ***, X7 OF THE ELECTRIC CURRENT TO INFER ABOUT THE MEAN FLUCTUATION OVER A SPECIFIC PERIOD. AFTER CAREFUL CONSIDERATION YOU HAVE IDENTIFIED THREE POSSIBLE ESTIMATORS AND 83 = X X₁+X7 2 a≤x≤ b otherwise Ô₁ = ‚Ô₂: = X₁+2X2+X3 3
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