Question: You plan to use a rod to lay out a square, each side of which is the length of the rod. The length of the

You plan to use a rod to lay out a square, each side of which is the length of the rod. The length of the rod is , which is unknown. You are interested in estimating the area of the square, which is u. Because is unknown, you measure it a times, obtaining observations X X X Suppose that each measurement is unbiased for with variance .

(a) Show that is a biased estimate of the area of the square.

(b) Suggest an estimator that is unbiased.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Applied Statistics And Multivariate Questions!

Using a long rod that has length m, you are going to lay out a square plot in which the length of each side is m. Thus the area of the plot will be 2. However, you do not know the value of m, so you...

10. Using a long rod that has length m, you are going to lay out a square plot in which the length of each side is m. Thus the area of the plot will be m2. However, you do not know the value of m, so...

10. Using a long rod that has length , you are going to lay out a square plot in which the length of each side is . Thus the area of the plot will be 2 . However, you do not know the value of , so...

1. Using a long rod that has length , you are going to lay out a square plot in which the length of each side is . Thus the area of the plot will be u". However, you do not know the value of u, so...

10. Using a long rod that has length , you are going to lay out a square plot in which the length of each side is . Thus the area of the plot will be 2 . However, you do not know the value of , so...

Using a long rod that has length , you are going to lay out a square plot in which the length of each side is u. Thus the area of the plot will be u. However, you do not know the value of , so you...

Using a long rod that has length , you are going to lay out a square plot in which the length of each side is . Thus the area of the plot will be 2 . However, you do not know the value of , so you...

0 Using a long rod that has length you are going to lay out a square plot in which the length of each side is p Thus the area of the plot will be However you do not know the value of p so you decide...

Basic Model for Task One.- We will also be introducing a new basic physical model from which we build denite integrals, that of gravitational attraction. Newton's law of gravitation is one example of...

I have a $30 million convertible bond issue issued at the face value 20 years ago. The bond has another 10 years before it is redeemed .At the time of issue the company's stock sold at $30, and now...

Jeffrey is serving on a six-person jury for a personal-injury lawsuit. All six jurors want to award damages to the plaintiff but cannot agree on the amount of the award. The jurors have decided that...

A planned fund established to accumulate assets to pay off bonds when they mature is called a bond retirement fund investment. discount fund investment. premium fund investment. sinking fund...

Draw all tertiary amines with molecular formula C 5 H 13 N, and provide a name for each isomer. Are any of these compounds chiral?