On radial and directional distance functions: what functions satisfy homogeneity and translation?

Rolf Färe; Hirofumi Fukuyama; Giannis Karagiannis

doi:10.1007/s42973-025-00199-4

On radial and directional distance functions: what functions satisfy homogeneity and translation?

Rolf Färe
, Hirofumi Fukuyama (Lead / Corresponding author)
, Giannis Karagiannis

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Research output: Contribution to journal › Article › peer-review

Abstract

This paper addresses the question of what functions satisfy homogeneity and translation simultaneously, i.e., conditions that radial and directional distance functions satisfy, and examines the implications concerning efficiency measurement, modeling of bad outputs, returns to scale, and aggregation of efficiency and productivity indicators.

Original language	English
Number of pages	11
Journal	The Japanese Economic Review
DOIs	https://doi.org/10.1007/s42973-025-00199-4
Publication status	Published - 11 Apr 2025

Keywords

Radial and directional distance functions
Homogeneity
Translation

ASJC Scopus subject areas

Economics and Econometrics

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10.1007/s42973-025-00199-4

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title = "On radial and directional distance functions: what functions satisfy homogeneity and translation?",

abstract = "This paper addresses the question of what functions satisfy homogeneity and translation simultaneously, i.e., conditions that radial and directional distance functions satisfy, and examines the implications concerning efficiency measurement, modeling of bad outputs, returns to scale, and aggregation of efficiency and productivity indicators.",

keywords = "Radial and directional distance functions, Homogeneity, Translation",

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T2 - what functions satisfy homogeneity and translation?

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AU - Fukuyama, Hirofumi

AU - Karagiannis, Giannis

PY - 2025/4/11

Y1 - 2025/4/11

N2 - This paper addresses the question of what functions satisfy homogeneity and translation simultaneously, i.e., conditions that radial and directional distance functions satisfy, and examines the implications concerning efficiency measurement, modeling of bad outputs, returns to scale, and aggregation of efficiency and productivity indicators.

AB - This paper addresses the question of what functions satisfy homogeneity and translation simultaneously, i.e., conditions that radial and directional distance functions satisfy, and examines the implications concerning efficiency measurement, modeling of bad outputs, returns to scale, and aggregation of efficiency and productivity indicators.

KW - Radial and directional distance functions

KW - Homogeneity

KW - Translation

UR - https://www.scopus.com/pages/publications/105002341226

U2 - 10.1007/s42973-025-00199-4

DO - 10.1007/s42973-025-00199-4

M3 - Article

SN - 1352-4739

JO - The Japanese Economic Review

JF - The Japanese Economic Review

ER -

On radial and directional distance functions: what functions satisfy homogeneity and translation?

Abstract

Keywords

ASJC Scopus subject areas

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