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October 30th, 2014, 09:22 AM  #1 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,875 Thanks: 130 Math Focus: Trigonometry and Logarithm  AbbeHelmert Criterion
I was reading a dictionary of mathematics and encountered a term "AbbeHelmert Criterion". I got curious about what it was and tried to Google it using both English and my native language, but got no result. Does anybody here know about AbbeHelmert criterion?

October 30th, 2014, 10:38 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms 
No, but my Googlefu is stronger. At Earliest Known Uses of Some of the Words of Mathematics (A) you'll find ABBEHELMERT CRITERION for randomness is named for Ernst Abbe and F. R. Helmert. The criterion is based on the firstorder serial correlation coefficient and, according to H. O. A. Wold & L. Juréen Demand Analysis: A Study in Econometrics p. 332 , “was first proposed by Abbe (1863) and a largesample theory was developed by Helmert (1905).” The articles referred to are Abbe (1863), “Über die Gesetzmässigkeit in der Verteilung der Fehler bei Beobachtungsreihen” in Gesammelte Abhandlungen, 2, 55 – 81. and Helmert (1905) “Über die Genauigkeit der Kriterion des Zufalls bei Beobachtungsreihen,” Sitzungsberichte der Kgl. Preussischen Akad. Dder Wissenschaften 1905, 594512. Abbe’s work is particularly remarkable, coming so many years before the era of modern time series analysis. Compare the entries SERIAL CORRELATION and CORRELOGRAM.which gives an overview and references to check. 
October 30th, 2014, 07:40 PM  #3 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,875 Thanks: 130 Math Focus: Trigonometry and Logarithm 
How... How did you manage to find that on Google? I have been trying over and over in both language and even with quote marks, it was all in vain.

October 30th, 2014, 07:46 PM  #4  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote:
 
January 9th, 2015, 06:58 PM  #5 
Senior Member Joined: Nov 2010 From: Indonesia Posts: 1,875 Thanks: 130 Math Focus: Trigonometry and Logarithm 
Some other questions: Do you know about Adams predictorcorrector formula, AdamsBashforth method, and AdamsMoulton method? What are they all about? And what are the full names of people who found those methods and formulas? Also, can this thread's title be changed to "[ASK] Questions About Mathematicians"?


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