Step-by-step solution file
A triangle has angles A, B, and C (in degrees). The angles are
A triangle has angles A, B, and C (in degrees). The angles are estimated, using a certain device, giving independent estimators XA, XB, and XC, which are all normally distributed,with the correct mean, and standard deviation equal to 1, i.e.
XA ~ N(A, 1), XB ~ N(B, 1), XC ~ N(C, 1).
For a certain reason, interest lies exclusively in angle A.
Maurice wants to estimate A by using XA.
Alphonse wants to be clever and says that A should be estimated by 180 - XB - XC.
Nadine wants to use the average Y =1/2XA +1/2(180 - XB - XC).
A) What are the expected values of each of the three estimators?
B) What are the variances of each of the three estimators? From this, state which is the best
estimator and which is the worst? Give a complete ranking.
C) What are the distributions of each of the three estimators?
D) Consider the generalization of Nadine?s estimator given by the weighted average
Yw = w*XA + (1 - w)(180 - XB - XC),
where w ? [0, 1]. Which value of w is best?
This question was answered on: Feb 21, 2020
This attachment is locked
We have a ready expert answer for this paper which you can use for in-depth understanding, research editing or paraphrasing. You can buy it or order for a fresh, original and plagiarism-free copy (Deadline assured. Flexible pricing. TurnItIn Report provided)
Need a similar solution fast, written anew from scratch? Place your own custom order
We have top-notch tutors who can help you with your essay at a reasonable cost and then you can simply use that essay as a template to build your own arguments. This we believe is a better way of understanding a problem and makes use of the efficiency of time of the student. New solution orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.