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What is Convexity

Handbook of Research on Strategic Performance Management and Measurement Using Data Envelopment Analysis
Implies that if two combinations of output levels can be produced with a given input vector x , then the average of these two output vectors can also be produced with x . This assumption implicitly requires the commodities to be continuously divisible ( Coelli et al., 1998 ).
Published in Chapter:
Non-Parametric Estimation of Environmental Efficiency Using Data Envelopment Analysis and Free Disposable Hull
Richard Mulwa (University of Nairobi, Kenya)
DOI: 10.4018/978-1-4666-4474-8.ch013
Abstract
Nitrogen, phosphate, and herbicide use are three main environmental problems caused by agriculture. Modelling these undesirable outputs and other detrimental side effects of production activities has attracted considerable attention and debate among production economists. A common approach is to treat detrimental variables as inputs mainly using Data Envelopment Analysis (DEA), which has enjoyed a lot of success over the years. On the other hand, Free Disposable Hull (FDH) has not enjoyed as much success as its counterpart, DEA. This chapter demonstrates how environmental efficiency can be modelled using both DEA and FDH under strong and weak disposability assumptions. Results show that weak disposability assumption is more superior in achieving relatively high emission reductions and that FDH tends to allocate efficiency to more DMUs compared to DEA.
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Coupon Bond Duration and Convexity Analysis: A Non-Calculus Approach
Mathematical concept that measures sensitivity of the market price of an interest-bearing bond to changes in interest rate levels. It is a measure of the curvature, or the degree of the curve, in the relationship between bond prices and bond yields.
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Effects of Public Capital Investments on the Productivity of the United States, 1992-2022
For each pair of points, every point on the line segment that joins them is covered by the set.
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