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saji

铁虫 (初入文坛)

应助: 1 (幼儿园)
金币: 33.7
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虫号: 3883640
注册: 2015-05-21
专业: 信号理论与信号处理

[求助] 1stOpt拟合代码的问题求助已有2人参与

各位前辈：
小弟使用1stopt拟合一等式，原始形式如下：
$y_{i}=A+B(t-x_{i})^m+C(t-x_{i})^mcos(wln(t-x_{i})+p)$
得到的拟合结果正常，图形如下：

但是，使用同样的样本，进行变式的拟合时，却得到怪异的图形。。。不知问题在哪里？
变式如下：
$(y_{i}-A)(t-x_{i})^{-m}=B+Ccos(wln(t-x_{i})+p)$
得到的函数图形如下：

下面是我使用变式的拟合代码：
Title "A-share 07-Bubble LPPL Fit";
Parameters a,b,c,t,m,w,p;
Variable y,x;
Function (y-a)*(t-x)^-m = b+c*cos(w*ln(t-x)+p);
Data;
6.941555559 1
6.938227256 2
7.017131521 3
7.030903452 4
7.010569957 5
7.008768258 6
6.997105918 7
6.978060888 8
6.990265709 9
6.98989732 10
7.017165583 11
7.004415456 12
7.004911935 13
6.997323551 14
7.004774906 15
7.025218263 16
7.010842412 17
7.007593374 18
6.985584462 19
6.961858921 20
6.953949696 21
6.946055376 22
6.94074992 23
6.945626043 24
6.925578498 25
6.919188668 26
6.952882552 27
6.944467078 28
6.947375912 29
6.933535105 30
6.919779695 31
6.922008222 32
6.928588747 33
6.928177322 34
6.953035481 35
6.952154866 36
6.978033857 37
6.993849485 38
6.990760977 39
6.987520717 40
6.992967372 41
7.006729647 42
7.01004017 43
7.00541633 44
7.028859903 45
7.037802358 46
7.049718276 47
7.060504692 48
7.076298178 49
7.062975387 50
7.079189449 51
7.070960273 52
7.084087267 53
7.045807064 54
7.047677209 55
7.054965069 56
7.047479829 57
7.06230902 58
7.066872178 59
7.066347509 60
7.051360262 61
7.044368792 62
7.058584449 63
7.077441512 64
7.08074005 65
7.086925208 66
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7.104374962 74
7.100808215 75
7.10711994 76
7.100536113 77
7.080016399 78
7.056140801 79
7.04923748 80
7.051891986 81
7.032833418 82
7.031541592 83
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7.037862064 86
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7.034042496 93
7.035223704 94
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7.025882255 133
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7.027765167 135
7.03152127 136
7.03556961 137
7.030644368 138
7.0345976 139
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7.112086177 152
7.107801325 153
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7.37830376 284
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7.344354647 287
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未命名.JPG

error2.JPG

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ybkooo

至尊木虫 (著名写手)

应助: 32 (小学生)
金币: 11360
散金: 178
红花: 15
帖子: 2310
在线: 543.5小时
虫号: 2710519
注册: 2013-10-09
性别: GG
专业: 控制理论与方法

Parameters a,b,c,t,m,w,p;
Variable x,y;
Function (y-a)*(t-x)^-m = b+c*cos(w*ln(t-x)+p);
Data;
1 6.9416
2 6.9382
3 7.0171
4 7.0309
5 7.0106

………………
迭代数: 37
计算用时(时:分:秒:微秒): 00:18:40:63
优化算法: 麦夸特法(Levenberg-Marquardt) + 通用全局优化法
计算结束原因: 达到收敛判断标准
均方差(RMSE): 4.65595587544745E-14
残差平方和(SSE): 1.24648069406153E-24
相关系数(R): 1
相关系数之平方(R^2): 1
决定系数(DC): 1
卡方系数(Chi-Square): 8.72434972578136E-26
F统计(F-Statistic): -4.30093764413883E17

参数最佳估算
---------- -------------
a       2.50176168046892
b       -1.22882102188015E-13
c       -1.55820635860655E-13
t       762.35234096126
m       9.63049718398193
w       1.73070665931322
p       5.69063841038279

====== 结果输出 =====

No 实测值y 计算值y
1 6.9416 6.9416000
2 6.9382 6.9382000
3 7.0171 7.0171000
4 7.0309 7.0309000
5 7.0106 7.0106000
6 7.0088 7.0088000
7 6.9971 6.9971000
8 6.9781 6.9781000
9 6.9903 6.9903000
10 6.9899 6.9899000
11 7.0172 7.0172000