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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Allameh Tabataba'i University Press
2014-01-01
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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. |
first_indexed | 2024-03-08T17:46:01Z |
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institution | Directory Open Access Journal |
issn | 1726-0728 2476-6445 |
language | fas |
last_indexed | 2024-03-08T17:46:01Z |
publishDate | 2014-01-01 |
publisher | Allameh Tabataba'i University Press |
record_format | Article |
series | فصلنامه پژوهشهای اقتصادی ایران |
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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