lee9724
26.02.2021 •
Mathematics
Find x. Round to the nearest tenth.
4
6
5
X
X =
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Ответ:
X=7.5
Step-by-step explanation:
Try that.
The scale factor is 2.25
So you do:6*2.25=13.5
Then you do:13.5-6= 7.5
Ответ:
Step-by-step explanation:
The complete question is
The reading on a voltage meter connected to a test circuit is uniformly distributed over the interval (θ, θ + 1), where θ is the true but unknown voltage of the circuit. Suppose that Y1,Y2,...,Yn denotearandomsampleofsuchreadings.Let Y be the sample mean. a) Show that Y is a biased estimator of θ and compute the bias. b Find a function of Y that is an unbiased estimator of θ.
Recall that an unbiased estimator Y of a parameter is a function of a random sample for which we have that
. When this is not the case, the quantity is called the biased of the estimator.
Recall that for each i, is uniformly distributed on the interval , then .
Then, using the linear property of the expeted value, we have that
So, Y is a biased estimator of [tex]\theta [/tex} and the bias is 0.5.
b) We can easily obtain an unbiased estimator of theta by simply substracting the bias to the biased estimator, that is Y-0.5 is an unbiased estimator of the parameter theta.