Measurement of Statistical Errors, Iteration Algorithms and Convergence Speed in Updating Coefficient and Transaction Matrices

During thepast six decades, the analysts of the input – output economics(IOE) have used two approaches of input – output coefficient matrix(IOCM) and intermediate transactions matrix(ITM), both of which are based on iteration algorithms, in updating input – output tables(IOTs). The former is theoret...

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Main Authors: Sonia Sabzalizad Honarvar, Mohammad Jelodari Mamaghani, Aliasghar Banouei, Afsaneh Sherkat, Ashkan Mokhtary Asl Shouti
Format: Article
Language:fas
Published: Allameh Tabataba'i University Press 2014-01-01
Series:فصلنامه پژوهش‌های اقتصادی ایران
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Online Access:https://ijer.atu.ac.ir/article_641_e6050dc54f2aafa5bcb9bd5fbe5202b8.pdf
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author Sonia Sabzalizad Honarvar
Mohammad Jelodari Mamaghani
Aliasghar Banouei
Afsaneh Sherkat
Ashkan Mokhtary Asl Shouti
author_facet Sonia Sabzalizad Honarvar
Mohammad Jelodari Mamaghani
Aliasghar Banouei
Afsaneh Sherkat
Ashkan Mokhtary Asl Shouti
author_sort Sonia Sabzalizad Honarvar
collection DOAJ
description During thepast six decades, the analysts of the input – output economics(IOE) have used two approaches of input – output coefficient matrix(IOCM) and intermediate transactions matrix(ITM), both of which are based on iteration algorithms, in updating input – output tables(IOTs). The former is theoretically based on the production function and is more popular as compared with the latter which is only in terms of accounting. The challenging issue for the analysts of IOE is similar or different results of the two approaches. A group insists on different results, whereas, the observations of another group suggest that the results are equivalent. Neither of the mentioned groups consider factors such as aggregation and convergence speed with respect to the number of iterations in algorithms of the two approaches. The main focus of this article is to investigate the theoretical and empirical aspects of factors, using two survey-based symmetric IOTs of Iran for the years 1996 and 2001. With respect to the above factors, the 3 sectors, 7 sectors, 15 sectors and 21 sectors are considered. This article concludes two overall findings: a 1-statistical error in the two approaches exits but insignificant.  2-The convergence speed with lower number of iterations in the IOCM approach is higher than that of the second approach.
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spelling doaj.art-7787e54ce85a4417a79e52ce515389352024-01-02T10:29:07ZfasAllameh Tabataba'i University Pressفصلنامه پژوهش‌های اقتصادی ایران1726-07282476-64452014-01-0118576984641Measurement of Statistical Errors, Iteration Algorithms and Convergence Speed in Updating Coefficient and Transaction MatricesSonia Sabzalizad Honarvar0Mohammad Jelodari Mamaghani1Aliasghar Banouei2Afsaneh Sherkat3Ashkan Mokhtary Asl Shouti4دانشجوی دکتری دانشکده اقتصاد و علوم اجتماعی، دانشگاه الزهراءاستاد دانشکده علوم ریاضی و رایانه، دانشگاه علامه طباطباییاستاد دانشکده اقتصاد، دانشگاه علامه طباطباییدانش آموخته رشته اقتصاد توسعه و برنامه ریزی، دانشگاه علامه طباطباییدانشجوی کارشناسی ارشد اقتصاد توسعه و برنامه ریزی، دانشگاه علامه طباطباییDuring thepast six decades, the analysts of the input – output economics(IOE) have used two approaches of input – output coefficient matrix(IOCM) and intermediate transactions matrix(ITM), both of which are based on iteration algorithms, in updating input – output tables(IOTs). The former is theoretically based on the production function and is more popular as compared with the latter which is only in terms of accounting. The challenging issue for the analysts of IOE is similar or different results of the two approaches. A group insists on different results, whereas, the observations of another group suggest that the results are equivalent. Neither of the mentioned groups consider factors such as aggregation and convergence speed with respect to the number of iterations in algorithms of the two approaches. The main focus of this article is to investigate the theoretical and empirical aspects of factors, using two survey-based symmetric IOTs of Iran for the years 1996 and 2001. With respect to the above factors, the 3 sectors, 7 sectors, 15 sectors and 21 sectors are considered. This article concludes two overall findings: a 1-statistical error in the two approaches exits but insignificant.  2-The convergence speed with lower number of iterations in the IOCM approach is higher than that of the second approach.https://ijer.atu.ac.ir/article_641_e6050dc54f2aafa5bcb9bd5fbe5202b8.pdfras methodinput – output coefficient matrixintermediate transactions matrixstatistical errors
spellingShingle Sonia Sabzalizad Honarvar
Mohammad Jelodari Mamaghani
Aliasghar Banouei
Afsaneh Sherkat
Ashkan Mokhtary Asl Shouti
Measurement of Statistical Errors, Iteration Algorithms and Convergence Speed in Updating Coefficient and Transaction Matrices
فصلنامه پژوهش‌های اقتصادی ایران
ras method
input – output coefficient matrix
intermediate transactions matrix
statistical errors
title Measurement of Statistical Errors, Iteration Algorithms and Convergence Speed in Updating Coefficient and Transaction Matrices
title_full Measurement of Statistical Errors, Iteration Algorithms and Convergence Speed in Updating Coefficient and Transaction Matrices
title_fullStr Measurement of Statistical Errors, Iteration Algorithms and Convergence Speed in Updating Coefficient and Transaction Matrices
title_full_unstemmed Measurement of Statistical Errors, Iteration Algorithms and Convergence Speed in Updating Coefficient and Transaction Matrices
title_short Measurement of Statistical Errors, Iteration Algorithms and Convergence Speed in Updating Coefficient and Transaction Matrices
title_sort measurement of statistical errors iteration algorithms and convergence speed in updating coefficient and transaction matrices
topic ras method
input – output coefficient matrix
intermediate transactions matrix
statistical errors
url https://ijer.atu.ac.ir/article_641_e6050dc54f2aafa5bcb9bd5fbe5202b8.pdf
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