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Modeling economies of scope in joint production: Convex regression of input distance function

Timo Kuosmanen, Sheng Dai

arXiv 20 Nov 2023 · Statistics — Methodology · publishedJournal of Productivity Analysis (2024) · 3 citations (OpenAlex)

arXiv:2311.11637 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Modeling of joint production has proved a vexing problem. This paper develops a radial convex nonparametric least squares (CNLS) approach to estimate the input distance function with multiple outputs. We document the correct input distance function transformation and prove that the necessary orthogonality conditions can be satisfied in radial CNLS. A Monte Carlo study is performed to compare the finite sample performance of radial CNLS and other deterministic and stochastic frontier approaches in terms of the input distance function estimation. We apply our novel approach to the Finnish electricity distribution network regulation and empirically confirm that the input isoquants become more curved. In addition, we introduce the weight restriction to radial CNLS to mitigate the potential overfitting and increase the out-of-sample performance in energy regulation.

Citation extraction

33
references
107
in-text mentions
38
distinct cited
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8,833
main-text words

appendix boundary found by appendix_titled_section at “Online Supplement” · 93% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Schaefer \ Clermont (2018) Stochastic non-smooth envelopment of data for multi-dimensional output, Journal of Productivity Analysis 50: 139–1541.00093100%
2Kuosmanen \ Johnson (2017) Modeling joint production of multiple outputs in StoNED: Directional distance function approach, European Journal of Operational…1.00084100%
3Kuosmanen \ Johnson (2020) Conditional yardstick competition in energy regulation, The Energy Journal 41: 67–920.874102100%
4Kumbhakar (2013) Specification and estimation of multiple output technologies: A primal approach, European Journal of Operational Research 231: 4…0.81142100%
5Manski (2009) Identification for prediction and decision, Harvard University Press, Cambridge, MA0.81142100%
6Shephard (1970) Theory of cost and production functions, Princeton University Press, Princeton0.81142100%
7Tamer (2010) Partial identification in econometrics, Annual Review of Economics 2: 167–1950.81142100%
8Hall \ Simar (2002) Estimating a change point, boundary, or frontier in the presence of observation error, Journal of the American Statistical Assoc…0.73732100%
Fare2010unmatched citation key Fare20100.69351100%
10Kuosmanen, Kuosmanen \ Dai (2022) Kohtuullinen muuttuva kustannus sähkön jakeluverkkoyhtiöiden valvontamallissa: Ehdotus tehostamiskannustimen kehittämiseksi 60.69351100%

Showing the top 10 of 38 scored citations. 1 of these could not be matched to a bibliography entry, so only the citation key is shown.