Tài liệu Modeling of Data part 2 doc

... Academic Press), § VI.C. [1] 15 .2 Fitting Data to a Straight Line A concrete example will make the considerations of the previous section more meaningful. We consider the problem of fitting a set of N data points ... are often taught, rather casually, that, on average, measurements will fall within ±σ of the true value 68 percent of the time, within 2 95 percent of the time,...

Ngày tải lên: 15/12/2013, 04:15

... 1-800-8 72- 7 423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). σ 2 a = 1 S  1+ S 2 x SS tt  (15 .2. 19) σ 2 b = 1 S tt (15 .2. 20) Cov(a, b)=− S x SS tt (15 .2. 21) r ab = Cov(a, ... ≡ N  i=1 1 σ 2 i S x ≡ N  i=1 x i σ 2 i S y ≡ N  i=1 y i σ 2 i S xx ≡ N  i=1 x 2 i σ 2 i S xy ≡ N  i=1 x i y i σ 2 i (15 .2. 4) With these definition...

Ngày tải lên: 15/12/2013, 04:15

... dot products of the columns 6 72 Chapter 15. Modeling of Data Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0- 521 -43108-5) Copyright (C) 1988-19 92 by Cambridge ... . X M () X 1 (x 2 ) σ 2 x 2 X 2 (x 2 ) σ 2 . . . X M (x 2 ) σ 2 . . . . . . . . . . . . . . . . . . . . . X 1 (x N ) σ N x N X 2 (x N ) σ N . . ....

Ngày tải lên: 15/12/2013, 04:15

... RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0- 521 -43108-5) Copyright (C) 1988-19 92 by Cambridge University Press.Programs Copyright (C) 1988-19 92 by Numerical Recipes Software. Permission ... measure of goodness -of- fit. When the third item suggests that the model is an unlikely match to the data, then items (i) and (ii) are probably worthless. Unfortunately, many practit...

Ngày tải lên: 15/12/2013, 04:15

... these projections follow from the Taylor series expansion ∆χ 2 ≈ 1 2  ∂ 2 χ 2 ∂a 2 (∆a) 2 + ∂ 2 χ 2 ∂b 2 (∆b) 2  + ∂ 2 χ 2 ∂a∂b ∆a∆b (15.3.5) Becauseof the presentnonlinearityin b, however,analytic formulas ... SQR((y[i]-(*a)-(*b)*x[i])/sig[i]); if (ndata> ;2) *q=gammq(0.5*(ndata -2) ,0.5*(*chi2)); Equation (15 .2. 12) . } } CITED REFERENCES AND FURTHER READING: Be...

Ngày tải lên: 15/12/2013, 04:15

... y(x i ;a)] ∂ 2 y(x i ; a) ∂a l ∂a k  (15.5.7) It is conventional to remove the factors of 2 by defining β k ≡− 1 2 ∂χ 2 ∂a k α kl ≡ 1 2 ∂ 2 χ 2 ∂a k ∂a l (15.5.8) making [α]= 1 2 Din equation (15.5 .2) , ... components ∂χ 2 ∂a k = 2 N  i=1 [y i − y(x i ; a)] σ 2 i ∂y(x i ;a) ∂a k k =1 ,2, ,M (15.5.6) Taking an additional partial derivative gives ∂ 2 χ 2 ∂a k ∂a l...

Ngày tải lên: 15/12/2013, 04:15

... 5.89 7.04 90% 2. 71 4.61 6 .25 7.78 9 .24 10.6 95.4% 4.00 6.17 8. 02 9.70 11.3 12. 8 99% 6.63 9 .21 11.3 13.3 15.1 16.8 99.73% 9.00 11.8 14 .2 16.3 18 .2 20.1 99.99% 15.1 18.4 21 .1 23 .5 25 .7 27 .8 These ... 1-800-8 72- 7 423 (North America only),or send email to trade@cup.cam.ac.uk (outside North America). synthetic data set 1 synthetic data set 2 synthetic data set 3 s...

Ngày tải lên: 15/12/2013, 04:15

... circuitry of good radio receivers [3,4] . 7 02 Chapter 15. Modeling of Data Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0- 521 -43108-5) Copyright (C) 1988-19 92 by ... *arr,d,sum=0.0; arr=vector(1,ndatat); for (j=1;j<=ndatat;j++) arr[j]=yt[j]-b*xt[j]; if (ndatat & 1) { aa=select((ndatat+1)>>1,ndatat,arr); } else { j=ndatat >>...

Ngày tải lên: 15/12/2013, 04:15

... function and the Bessel function of the first kind, sin x = ∞  k=0 (−1) k (2k +1)! x 2k+1 (5.1 .2) J n (x)=  x 2  n ∞  k=0 (− 1 4 x 2 ) k k!(k + n)! (5.1.3) Both of these series converge for all ... large x. Accelerating the Convergence of Series There are several tricks for accelerating the rate of convergence of a series (or, equivalently, of a sequence of partial sums...

Ngày tải lên: 15/12/2013, 04:15

... accept this as formal notice of my resignation from the position of vice president of Marketing department, with effect from June1, 20 09. In _______ with my contract of employment I am happy ... Administration at 7 72- 288-5710. Remember, Annual Physicals are mandatory and you are paid for your time. Questions 150-1 52 refer to the following e-mail. Dear Shane Kim One...

Ngày tải lên: 13/12/2013, 18:15