A random sample of size 2, Y 1 and Y 2 , is drawn from the pdf f Y ( y ; θ ) = 2 y θ 2 , 0 < y < 1 θ , What must c equal if the statistic c ( Y 1 + 2 Y 2 ) is to bean unbiased estimator for 1 θ ?
A random sample of size 2, Y 1 and Y 2 , is drawn from the pdf f Y ( y ; θ ) = 2 y θ 2 , 0 < y < 1 θ , What must c equal if the statistic c ( Y 1 + 2 Y 2 ) is to bean unbiased estimator for 1 θ ?
Solution Summary: The author explains how the value of c is 12.
A random sample of size 2,
Y
1
and
Y
2
, is drawn from the pdf
f
Y
(
y
;
θ
)
=
2
y
θ
2
,
0
<
y
<
1
θ
,
What must c equal if the statistic
c
(
Y
1
+
2
Y
2
)
is to bean unbiased estimator for
1
θ
?
Definition Definition Probability of occurrence of a continuous random variable within a specified range. When the value of a random variable, Y, is evaluated at a point Y=y, then the probability distribution function gives the probability that Y will take a value less than or equal to y. The probability distribution function formula for random Variable Y following the normal distribution is: F(y) = P (Y ≤ y) The value of probability distribution function for random variable lies between 0 and 1.
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