- Bonus Prob 30 Assume A Is Unknown And Need To Be Estimated From B B Brand One Method Is To Estimate A Atsee Lecture 1 (17.49 KiB) Viewed 30 times
- Bonus Prob 30 Assume A Is Unknown And Need To Be Estimated From B B Brand One Method Is To Estimate A Atsee Lecture 2 (38.98 KiB) Viewed 30 times
- Bonus Prob 30 Assume A Is Unknown And Need To Be Estimated From B B Brand One Method Is To Estimate A Atsee Lecture 3 (38.98 KiB) Viewed 30 times
- Bonus Prob 30 Assume A Is Unknown And Need To Be Estimated From B B Brand One Method Is To Estimate A Atsee Lecture 4 (23.22 KiB) Viewed 30 times
Bonus Prob. (10 pt) Assume a is unknown and need to be estimated from B1, B2, B3, and B4. One method is to estimate a at 0 = . (see Lecture notes in Chapter 8). i.e., 1 2 â = a1 = =+=(B, cos 0 + B2 sin , +Bz cos 24. + B4 sin 20.) TT TI The next estimator of a is from the variance of H(o). Or, 2 12 a *10 - P.) H(º) dº = 4*, *?*+cos x + cos2x)dx + Po- 27 TT . where x = 0 - 0, C1 = B} + BJ, and Cy B3 + B? Solve the estimator a (i.e., â = az) from the above equation. Use B1, B2, B3, B4 from Problem 4) to estimate a. That is calculate a, and az (the true a value is 2). A useful formula for the problem is S x2 cos 2x dx= (2x2-1) sin 2x + cos2x from which you can derive S x2 cos x dx= (x2 – 2) sin x + 2x cosx.
f hicable.. eing e ind de e-na% TI It is given as hint that; How, B, tip2 = SH(4) ei SH HC4ap dø - 07242 S avane Case do ; [ fin-bert is zero j as it is odd fa B2=0 of Pi - viena Se Pyar case de Jiha -a e-a?/> [" a»n] Similarly By 20 g B3 = 3 B: 怎」。 -$2/2² Cf 20 de ~ -11 - Real Valve 1 IT e e-२६१ 242