Math 370 HW 5 - Homework 5 Solution 4-5, 4-6, 4-28 (d),...

This preview shows page 1 - 2 out of 4 pages.

1Homework 5 Solution4-5, 4-6, 4-28 (d), 4-29 (e), 4-37 (a, b, d), 4-40 (a, d)4-5.EXEXnnEXnniiniin2 1111,X1andX2are unbiased estimators of.The variances are VX122nand VX22n; compare the MSE (variance in this case),MSEMSEnnnn()()//12222212Because both estimators are unbiased, examination of the variances would conclude thatX1is the “better”estimator with the smaller variance.4-6.E)9(91))(9(91)()()(91ˆ9211XEXEXEXEE2]23[21)2()()3(21ˆ4612XEXEXEa)1is unbiased estimates andbecause the expected values of these statistics areequivalent to the true mean,., but2is biased estimates ofb) V229212921191)9(811)X(V)X(V)X(V919

Upload your study docs or become a

Course Hero member to access this document

Upload your study docs or become a

Course Hero member to access this document

End of preview. Want to read all 4 pages?

Upload your study docs or become a

Course Hero member to access this document

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture