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 Fitting data to a user defined function
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irismidas

2 Posts

Posted - 04/06/2014 :  10:09:08 PM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver. and Service Release (Select Help-->About Origin):
Operating System: Origin Pro 9.1

---------------------

Hi everyone I am having trouble fitting my data sets to a non-linear user defined function.

Here is the function that I want the data to fit to



Here lamba,delta, Amax, Amin can be determined so the actual parameters for fitting are alpha, beta, and gamma

This is what I expected the fitting function will do



This is what I actually get



Here is the raw data please help me out.

--------------

1.56399E-7 0.01142
1.56424E-7 0.01142
1.56449E-7 0.01142
1.56474E-7 0.01142
1.56499E-7 0.01145
1.56524E-7 0.01151
1.56549E-7 0.01159
1.56574E-7 0.01169
1.56599E-7 0.01182
1.56624E-7 0.01197
1.56649E-7 0.01215
1.56674E-7 0.01235
1.56699E-7 0.01258
1.56724E-7 0.01283
1.56749E-7 0.01311
1.56774E-7 0.01341
1.56799E-7 0.01373
1.56824E-7 0.01408
1.56849E-7 0.01445
1.56874E-7 0.01485
1.56899E-7 0.01527
1.56924E-7 0.01572
1.56949E-7 0.01619
1.56974E-7 0.01668
1.56999E-7 0.0172
1.57024E-7 0.01775
1.57049E-7 0.01832
1.57074E-7 0.01892
1.57099E-7 0.01955
1.57124E-7 0.02017
1.57149E-7 0.02081
1.57174E-7 0.02146
1.57199E-7 0.02213
1.57224E-7 0.02281
1.57249E-7 0.02351
1.57274E-7 0.02422
1.57299E-7 0.02496
1.57324E-7 0.02572
1.57349E-7 0.02651
1.57374E-7 0.02733
1.57399E-7 0.02819
1.57424E-7 0.02909
1.57449E-7 0.03003
1.57474E-7 0.03102
1.57499E-7 0.03206
1.57524E-7 0.03316
1.57549E-7 0.03431
1.57574E-7 0.03551
1.57599E-7 0.03677
1.57624E-7 0.03809
1.57649E-7 0.03947
1.57674E-7 0.0409
1.57699E-7 0.04239
1.57724E-7 0.04392
1.57749E-7 0.04551
1.57774E-7 0.04713
1.57799E-7 0.04878
1.57824E-7 0.05046
1.57849E-7 0.05216
1.57874E-7 0.05386
1.57899E-7 0.05556
1.57924E-7 0.05723
1.57949E-7 0.05887
1.57974E-7 0.06046
1.57999E-7 0.06198
1.58024E-7 0.06342
1.58049E-7 0.06476
1.58074E-7 0.06598
1.58099E-7 0.06706
1.58124E-7 0.068
1.58149E-7 0.06876
1.58174E-7 0.06934
1.58199E-7 0.06971
1.58224E-7 0.06988
1.58249E-7 0.06982
1.58274E-7 0.06953
1.58299E-7 0.06899
1.58324E-7 0.06821
1.58349E-7 0.06718
1.58374E-7 0.0659
1.58399E-7 0.06438
1.58424E-7 0.06262
1.58449E-7 0.06063
1.58474E-7 0.05843
1.58499E-7 0.05603
1.58524E-7 0.05345
1.58549E-7 0.05071
1.58574E-7 0.04784
1.58599E-7 0.04486
1.58624E-7 0.0418
1.58649E-7 0.03869
1.58674E-7 0.03556
1.58699E-7 0.03243
1.58724E-7 0.02934
1.58749E-7 0.02632
1.58774E-7 0.02339
1.58799E-7 0.02058
1.58824E-7 0.01791
1.58849E-7 0.01541
1.58874E-7 0.0131
1.58899E-7 0.011
1.58924E-7 0.00911
1.58949E-7 0.00746
1.58974E-7 0.00605
1.58999E-7 0.00489
1.59024E-7 0.00398
1.59049E-7 0.00333
1.59074E-7 0.00293
1.59099E-7 0.00278
1.59124E-7 0.00287
1.59149E-7 0.00319
1.59174E-7 0.00373
1.59199E-7 0.00447
1.59224E-7 0.00541
1.59249E-7 0.00651
1.59274E-7 0.00777
1.59299E-7 0.00917
1.59324E-7 0.01068
1.59349E-7 0.01229
1.59374E-7 0.01398
1.59399E-7 0.01574
1.59424E-7 0.01754
1.59449E-7 0.01937
1.59474E-7 0.02121
1.59499E-7 0.02305
1.59524E-7 0.02488
1.59549E-7 0.02668
1.59574E-7 0.02844
1.59599E-7 0.03016
1.59624E-7 0.03182
1.59649E-7 0.03342
1.59674E-7 0.03495
1.59699E-7 0.03641
1.59724E-7 0.0378
1.59749E-7 0.03912
1.59774E-7 0.04036
1.59799E-7 0.04154
1.59824E-7 0.04264
1.59849E-7 0.04369
1.59874E-7 0.04469
1.59899E-7 0.04564
1.59924E-7 0.04655
1.59949E-7 0.04743
1.59974E-7 0.04829
1.59999E-7 0.04914
1.60024E-7 0.04999
1.60049E-7 0.05084
1.60074E-7 0.05171
1.60099E-7 0.05259
1.60124E-7 0.05348
1.60149E-7 0.0544
1.60174E-7 0.05535
1.60199E-7 0.05631
1.60224E-7 0.05729
1.60249E-7 0.05828
1.60274E-7 0.05929
1.60299E-7 0.06029
1.60324E-7 0.0613
1.60349E-7 0.06229
1.60374E-7 0.06327
1.60399E-7 0.06422
1.60424E-7 0.06514
1.60449E-7 0.06601
1.60474E-7 0.06685
1.60499E-7 0.06764
1.60524E-7 0.06837
1.60549E-7 0.06905
1.60574E-7 0.06966
1.60599E-7 0.07022
1.60624E-7 0.07071
1.60649E-7 0.07114
1.60674E-7 0.07151
1.60699E-7 0.07182
1.60724E-7 0.07208
1.60749E-7 0.07227
1.60774E-7 0.07242
1.60799E-7 0.07252
1.60824E-7 0.07257
1.60849E-7 0.07259
1.60874E-7 0.07257
1.60899E-7 0.07252
1.60924E-7 0.07245
1.60949E-7 0.07236
1.60974E-7 0.07225
1.60999E-7 0.07214
1.61024E-7 0.07202
1.61049E-7 0.07191
1.61074E-7 0.07179
1.61099E-7 0.07169
1.61124E-7 0.07159
1.61149E-7 0.0715
1.61174E-7 0.07142
1.61199E-7 0.07136
1.61224E-7 0.0713
1.61249E-7 0.07125
1.61274E-7 0.07122
1.61299E-7 0.07119
1.61324E-7 0.07116
1.61349E-7 0.07114
1.61374E-7 0.07112
1.61399E-7 0.0711
1.61424E-7 0.07108
1.61449E-7 0.07105
1.61474E-7 0.07101
1.61499E-7 0.07097
1.61524E-7 0.0709
1.61549E-7 0.07082
1.61574E-7 0.07071
1.61599E-7 0.07058
1.61624E-7 0.07041
1.61649E-7 0.07021
1.61674E-7 0.06997
1.61699E-7 0.06968
1.61724E-7 0.06934
1.61749E-7 0.06896
1.61774E-7 0.06853
1.61799E-7 0.06804
1.61824E-7 0.0675
1.61849E-7 0.06692
1.61874E-7 0.06628
1.61899E-7 0.06559
1.61924E-7 0.06485
1.61949E-7 0.06407
1.61974E-7 0.06325
1.61999E-7 0.06239
1.62024E-7 0.0615
1.62049E-7 0.06058
1.62074E-7 0.05963
1.62099E-7 0.05866
1.62124E-7 0.05767
1.62149E-7 0.05667
1.62174E-7 0.05566
1.62199E-7 0.05465
1.62224E-7 0.05364
1.62249E-7 0.05264
1.62274E-7 0.05164
1.62299E-7 0.05067
1.62324E-7 0.04971
1.62349E-7 0.04877
1.62374E-7 0.04785
1.62399E-7 0.04696
1.62424E-7 0.04609
1.62449E-7 0.04525
1.62474E-7 0.04443
1.62499E-7 0.04364
1.62524E-7 0.04287
1.62549E-7 0.04212
1.62574E-7 0.0414
1.62599E-7 0.04069
1.62624E-7 0.04001
1.62649E-7 0.03934
1.62674E-7 0.03869
1.62699E-7 0.03806
1.62724E-7 0.03744
1.62749E-7 0.03684
1.62774E-7 0.03624
1.62799E-7 0.03566
1.62824E-7 0.03508
1.62849E-7 0.0345
1.62874E-7 0.03392
1.62899E-7 0.03334
1.62924E-7 0.03275
1.62949E-7 0.03215
1.62974E-7 0.03154
1.62999E-7 0.03092
1.63024E-7 0.03029
1.63049E-7 0.02965
1.63074E-7 0.029
1.63099E-7 0.02834
1.63124E-7 0.02767
1.63149E-7 0.02699
1.63174E-7 0.02632
1.63199E-7 0.02564
1.63224E-7 0.02497
1.63249E-7 0.0243
1.63274E-7 0.02364
1.63299E-7 0.023
1.63324E-7 0.02237
1.63349E-7 0.02176
1.63374E-7 0.02116
1.63399E-7 0.02059
1.63424E-7 0.02004
1.63449E-7 0.0195
1.63474E-7 0.01899
1.63499E-7 0.01851
1.63524E-7 0.01804
1.63549E-7 0.0176
1.63574E-7 0.01718
1.63599E-7 0.01678
1.63624E-7 0.0164
1.63649E-7 0.01604
1.63674E-7 0.01569
1.63699E-7 0.01536
1.63724E-7 0.01505
1.63749E-7 0.01475
1.63774E-7 0.01446
1.63799E-7 0.01418
1.63824E-7 0.01392
1.63849E-7 0.01366
1.63874E-7 0.01342
1.63899E-7 0.01318
1.63924E-7 0.01295
1.63949E-7 0.01273
1.63974E-7 0.01251
1.63999E-7 0.0123
1.64024E-7 0.01209
1.64049E-7 0.01189
1.64074E-7 0.01169
1.64099E-7 0.01149
1.64124E-7 0.01129
1.64149E-7 0.0111
1.64174E-7 0.01091
1.64199E-7 0.01072
1.64224E-7 0.01053
1.64249E-7 0.01035
1.64274E-7 0.01017
1.64299E-7 0.00999
1.64324E-7 0.00981
1.64349E-7 0.00964
1.64374E-7 0.00947
1.64399E-7 0.0093
1.64424E-7 0.00913
1.64449E-7 0.00897
1.64474E-7 0.00881
1.64499E-7 0.00865
1.64524E-7 0.00849
1.64549E-7 0.00834
1.64574E-7 0.00819
1.64599E-7 0.00804
1.64624E-7 0.00789
1.64649E-7 0.00775
1.64674E-7 0.00761
1.64699E-7 0.00747
1.64724E-7 0.00734
1.64749E-7 0.00721
1.64774E-7 0.00709
1.64799E-7 0.00697
1.64824E-7 0.00686
1.64849E-7 0.00676
1.64874E-7 0.00666
1.64899E-7 0.00657
1.64924E-7 0.00648
1.64949E-7 0.0064
1.64974E-7 0.00633
1.64999E-7 0.00627
1.65024E-7 0.00621
1.65049E-7 0.00616
1.65074E-7 0.00612
1.65099E-7 0.00608
1.65124E-7 0.00605
1.65149E-7 0.00602
1.65174E-7 0.006
1.65199E-7 0.00598
1.65224E-7 0.00597
1.65249E-7 0.00596
1.65274E-7 0.00595
1.65299E-7 0.00595
1.65324E-7 0.00595
1.65349E-7 0.00595
1.65374E-7 0.00595
1.65399E-7 0.00596
1.65424E-7 0.00597
1.65449E-7 0.00598
1.65474E-7 0.00599
1.65499E-7 0.006
1.65524E-7 0.00602
1.65549E-7 0.00604
1.65574E-7 0.00606
1.65599E-7 0.00607
1.65624E-7 0.00609
1.65649E-7 0.00611
1.65674E-7 0.00612
1.65699E-7 0.00614
1.65724E-7 0.00615
1.65749E-7 0.00616
1.65774E-7 0.00618
1.65799E-7 0.00619
1.65824E-7 0.0062
1.65849E-7 0.00621
1.65874E-7 0.00623
1.65899E-7 0.00624
1.65924E-7 0.00625
1.65949E-7 0.00627
1.65974E-7 0.00628
1.65999E-7 0.00629
1.66024E-7 0.00629
1.66049E-7 0.0063
1.66074E-7 0.0063
1.66099E-7 0.00629
1.66124E-7 0.00629
1.66149E-7 0.00628
1.66174E-7 0.00627
1.66199E-7 0.00626
1.66224E-7 0.00625
1.66249E-7 0.00624
1.66274E-7 0.00623
1.66299E-7 0.00622
1.66324E-7 0.00621
1.66349E-7 0.0062
1.66374E-7 0.00619
1.66399E-7 0.00618
1.66424E-7 0.00618
1.66449E-7 0.00617
1.66474E-7 0.00617
1.66499E-7 0.00617
1.66524E-7 0.00617
1.66549E-7 0.00618
1.66574E-7 0.00618
1.66599E-7 0.00619
1.66624E-7 0.0062
1.66649E-7 0.00622
1.66674E-7 0.00624
1.66699E-7 0.00626
1.66724E-7 0.00628
1.66749E-7 0.0063
1.66774E-7 0.00632
1.66799E-7 0.00634
1.66824E-7 0.00635
1.66849E-7 0.00637
1.66874E-7 0.00638
1.66899E-7 0.00639
1.66924E-7 0.0064
1.66949E-7 0.00641
1.66974E-7 0.00642
1.66999E-7 0.00643
1.67024E-7 0.00643
1.67049E-7 0.00645
1.67074E-7 0.00646
1.67099E-7 0.00647
1.67124E-7 0.00649
1.67149E-7 0.00651
1.67174E-7 0.00652
1.67199E-7 0.00654
1.67224E-7 0.00655
1.67249E-7 0.00656
1.67274E-7 0.00657
1.67299E-7 0.00657
1.67324E-7 0.00656
1.67349E-7 0.00656
1.67374E-7 0.00655
1.67399E-7 0.00654
1.67424E-7 0.00653
1.67449E-7 0.00652
1.67474E-7 0.00651
1.67499E-7 0.0065
1.67524E-7 0.0065
1.67549E-7 0.0065
1.67574E-7 0.0065
1.67599E-7 0.00651
1.67624E-7 0.00652
1.67649E-7 0.00654
1.67674E-7 0.00655
1.67699E-7 0.00657
1.67724E-7 0.00659
1.67749E-7 0.00661
1.67774E-7 0.00664
1.67799E-7 0.00666
1.67824E-7 0.00668
1.67849E-7 0.00671
1.67874E-7 0.00673
1.67899E-7 0.00676
1.67924E-7 0.00679
1.67949E-7 0.00683
1.67974E-7 0.00686
1.67999E-7 0.0069
1.68024E-7 0.00694
1.68049E-7 0.00699
1.68074E-7 0.00703
1.68099E-7 0.00707
1.68124E-7 0.00712
1.68149E-7 0.00716
1.68174E-7 0.0072
1.68199E-7 0.00725
1.68224E-7 0.00729
1.68249E-7 0.00733
1.68274E-7 0.00737
1.68299E-7 0.00742
1.68324E-7 0.00747
1.68349E-7 0.00751
1.68374E-7 0.00757
1.68399E-7 0.00762
1.68424E-7 0.00768
1.68449E-7 0.00773
1.68474E-7 0.00779
1.68499E-7 0.00786
1.68524E-7 0.00792
1.68549E-7 0.00798
1.68574E-7 0.00804
1.68599E-7 0.0081
1.68624E-7 0.00815
1.68649E-7 0.00821
1.68674E-7 0.00826
1.68699E-7 0.0083
1.68724E-7 0.00835
1.68749E-7 0.00839
1.68774E-7 0.00843
1.68799E-7 0.00847
1.68824E-7 0.0085
1.68849E-7 0.00854
1.68874E-7 0.00857
1.68899E-7 0.00861
1.68924E-7 0.00865
1.68949E-7 0.00868
1.68974E-7 0.00872
1.68999E-7 0.00876
1.69024E-7 0.0088
1.69049E-7 0.00883
1.69074E-7 0.00887
1.69099E-7 0.00891
1.69124E-7 0.00894
1.69149E-7 0.00897
1.69174E-7 0.009
1.69199E-7 0.00902
1.69224E-7 0.00904
1.69249E-7 0.00905
1.69274E-7 0.00906
1.69299E-7 0.00907
1.69324E-7 0.00907
1.69349E-7 0.00906
1.69374E-7 0.00906
1.69399E-7 0.00905
1.69424E-7 0.00905
1.69449E-7 0.00904
1.69474E-7 0.00904
1.69499E-7 0.00905
1.69524E-7 0.00906
1.69549E-7 0.00907
1.69574E-7 0.00909
1.69599E-7 0.00911
1.69624E-7 0.00913
1.69649E-7 0.00916
1.69674E-7 0.00919
1.69699E-7 0.00922
1.69724E-7 0.00925
1.69749E-7 0.00929
1.69774E-7 0.00933
1.69799E-7 0.00937
1.69824E-7 0.00942
1.69849E-7 0.00947
1.69874E-7 0.00952
1.69899E-7 0.00957
1.69924E-7 0.00963
1.69949E-7 0.00969
1.69974E-7 0.00975
1.69999E-7 0.00982
1.70024E-7 0.00989
1.70049E-7 0.00996
1.70074E-7 0.01003
1.70099E-7 0.01011
1.70124E-7 0.0102
1.70149E-7 0.01028

SeanMao

China
288 Posts

Posted - 04/09/2014 :  11:18:14 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,
Can you please provide the values of lambda, delta, Amax, Amin so that we can try to help you with your problem?

Thanks!

Sean

Originlab Tech Service
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Hideo Fujii

USA
1582 Posts

Posted - 04/10/2014 :  3:25:51 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi,

Though I couldn't reach the final convergence. maybe you can try the following parameter set:



I have disregarded 10^-7 factor of X, and also introduced r*(x-x0) instead of simple x.

Hope this helps.

--Hideo Fujii
OriginLab
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