Estimation of stochastic input-output models: Some by S.D. Gerking
By S.D. Gerking
This monograph is a revision of my Indiana collage doctoral disserta tion which was once accomplished in April, 1975. thank you are, hence, as a result individuals of my doctoral committee: Saul Pleeter (Chairman), David J. Behling, R. Jeffery eco-friendly, Richard L. Pfister, and Elmus Wicker for his or her valuable reviews on past types of the manuscript. moreover, i'm indebted to the department of analysis and to the workplace of study and complicated reviews at Indiana college for monetary help. because the reader will become aware of, the options constructed in Chapters three and four of this monograph are illustrated utilizing input-output information from West Virginia. those facts have been generously made on hand by way of William H. Miernyk, Director of the local study Institute at West Virginia collage. I additionally desire to recognize the Bureau of industrial and Eco nomic learn at Arizona nation college for delivering study assistants, Kevin A. Nosbisch and Tom R. Rex, who aided in processing the West Virginia information. a 3rd examine assistant, Phillip M. Cano, additionally labored in this venture as a part of an self reliant research application taken below my course through the spring semester of 1975. ultimately, i have to thank Mary Holguin and Margaret Shumway who expertly typed the ultimate replica of the manuscript. regardless of the efforts of the entire contributors pointed out above, i suppose accountability for any blunders which could remain.
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Extra resources for Estimation of stochastic input-output models: Some statistical problems
A, it should first be noted that the extreme left hand column gives the row and column index for the technical coefficient under consideration. 1. 18), are given in parentheses beneath each estimate. Column four, then, presents the minimum variance reconciled estimates together with standard errors for those technical coefficients where both 'rows only' and 'columns only' estimates were computed. 26). The values of q*, in turn, were calculated by assuming that aa a = 0 for off-diagonal technical coefficients and allowing aa r ac #0 for the r diagonal coefficients.
This modification is described in Chapter 4 in connection with the reconciliation problem. NOTES I. The term 'consistency' has been given a great many interpretations in input-output analysis. Under one interpretation. it means that the accounts for all productive units in an economic system are balanced. For a description of other interpretations, see Richard Stone, 'Consistent Projections in Multi-Sector Models,' Activity Analysis in the Theory of Growth and Planning, ed. E. Malinvaud and M. O.
In other words, owing to factors such as slips of the pen in transcribing data, the measured values for Zy(r) and ~(r) may not equal their true values. 4), ZT,}') and XT}') refer to the true, non-stochastic and unobservable intersectoral purchases and total output of the rlh firm in sector j. On the other hand, Z/) and ~(r) denote the measured or observable counterparts to ZTy(r) andXT;(r), respectively. }') and w}') are measurement errors. d. with zero mean for all r. 9) 24 INPUT-OUTPUT AS A SIMPLE ECONOMETRIC MODEL Since apart from a constant of proportionality, II; II!