Tài liệu Modeling of Data part 5 doc
Tài liệu Modeling of Data part 5 doc
... Figure 15. 4.1.
Also define a vector b of length N by
b
i
=
y
i
σ
i
( 15. 4 .5)
and denote the M vector whose components are the parameters to be fitted,
a
1
, ,a
M
,bya.
680
Chapter 15. Modeling of Data
Sample ... ×∇χ
2
(a
cur
)( 15. 5.3)
where the constant is small enough not to exhaust the downhill direction.
To use ( 15. 5.2) or ( 15. 5.3), we must be able to compute the gradient...
Tài liệu Modeling of Data part 2 doc
... statistical universe of data sets that are drawn from it!
658
Chapter 15. Modeling of Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5)
Copyright (C) ... docilely into ( 15. 1.4), so that the maximum likelihood
660
Chapter 15. Modeling of Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (IS...
Tài liệu Modeling of Data part 3 docx
... straight-line model
y(x)=y(x;a, b)=a+bx ( 15. 2.1)
662
Chapter 15. Modeling of Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5)
Copyright (C) 1988-1992 by ... ( 15. 2.2) should occur by chance is
Q = gammq
N − 2
2
,
χ
2
2
( 15. 2.12)
664
Chapter 15. Modeling of Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SC...
Tài liệu Modeling of Data part 1 pptx
... trade@cup.cam.ac.uk (outside North America).
Chapter 15. Modeling of Data
15. 0 Introduction
Given a set of observations, one often wants to condense and summarize the
data by fitting it to a “model” that depends ... satisfy; examples
are coefficients of rate equations in a complex network of chemical reactions, or
orbital elements of a binary star. Modeling can also be used a...
Tài liệu Modeling of Data part 4 pptx
... 666
Chapter 15. Modeling of Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5)
Copyright (C) 1988-1992 by Cambridge ... answers.
*b=tan(*b)/scale;
free_vector(ww,1,ndat);
free_vector(sy,1,ndat);
free_vector(sx,1,ndat);
free_vector(yy,1,ndat);
free_vector(xx,1,ndat);
}
670
Chapter 15. Modeling of Data
Sample page from NUMERICAL...
Tài liệu Modeling Of Data part 6 pdf
... k)
( 15. 5.13)
and then replace both ( 15. 5.12) and ( 15. 5.9) by
M
l=1
α
kl
δa
l
= β
k
( 15. 5.14)
When λ is very large, the matrix α
is forced into being diagonally dominant,so
equation ( 15. 5.14) ... do so. The
only reason to use ( 15. 5.3) will be failure of ( 15. 5.2) to improve the fit, signaling
failure of ( 15. 5.1) as a good local approximation.
Calculation of the Gradie...
Tài liệu Modeling Of Data part 7 pptx
... variances of individual parameters
(equations 15. 2.9, 15. 4. 15, 15. 4.19), as well as some formulas for covariances
between pairs of parameters (equation 15. 2.10; remark following equation 15. 4. 15;
equation ... with M degrees of freedom. Here the χ
2
’s are all
696
Chapter 15. Modeling of Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0...
Tài liệu Modeling Of Data part 8 pptx
... =1, ,M ( 15. 7 .5)
If you compare ( 15. 7.3) to ( 15. 1.3), and ( 15. 7 .5) to ( 15. 1.7), you see at once
that the specialization for normally distributed errors is
ρ(z)=
1
2
z
2
ψ(z)=z (normal) ( 15. 7.6)
If ... y(x
i
)}∼
1
1+
1
2
y
i
−y(x
i
)
σ
i
2
( 15. 7.9)
702
Chapter 15. Modeling of Data
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1...
Tài liệu Integration of Functions part 5 docx
... rest of the routine is exactly like
midpnt
and is omitted.
146
Chapter 4. Integration of Functions
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5)
Copyright ... “deep” property
142
Chapter 4. Integration of Functions
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5)
Copyright (C) 1988-1...
Tài liệu Evaluation of Functions part 5 doc
... int mm, int kk)
Given
mm
,
kk
,and
cof[0 mm+kk]
, evaluate and return the rational function (
cof[0]
+
cof[1]x
+ ···+
cof[mm]x
mm
)/(1 +
cof[mm+1]x
+ ···+
cof[mm+kk]x
kk
).
{
int j;
double sumd,sumn; ... 176
Chapter 5. Evaluation of Functions
Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0 -52 1-43108 -5)
Copyright (C) 1988-1992 by Cambridge ... vol. 23,...