On the performance of fractional multinomial response models for estimating Engel curves
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Date
Authors
Koch, Steven F.
Journal Title
Journal ISSN
Volume Title
Publisher
Routledge
Abstract
Engel curves are often estimated within a linear, or at least approximately linear system of equations. However, Engel curves are required to lie on or within the unit interval, while summing to unity. These restrictions are not easily accommodated within a linear system. Therefore, we apply the fractional multinomial logit model
in our estimation of expenditure shares, because it more readily accommodates these theoretical restrictions. Within our estimation subsample from the South African Income and Expenditure Survey, we find that accounting for these restrictions within
the fractional multinomial logit model provides a better fit to the data than does
the standard linear system.
Description
Keywords
Expenditure shares, Multinomial fractional logit, Engel curves, Fractional multinomial logit model
Sustainable Development Goals
Citation
Koch, SF 2015, 'On the performance of fractional multinomial response models for estimating Engel curves', Agrekon, vol. 54, no. 1, pp. 28-52.