Index Number Theory Using Differences Rather Than Ratios

By Walter Erwin Diewert, Matthew D. Shapiro. 2005

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Divisia price and quantity indices: 80 years after (2005, background): “DIEWERT (1998) gives a different but equivalent derivation of this result.”
GDP-B: Accounting for the Value of New and Free Goods in the Digital Economy (2019, unknown): “Also, it has a strong justification from an axiomatic perspective (Diewert, 2005).”
INTRODUCTION TO MEASUREMENT WITH THEORY (2009, background): “This topic is pursued in much greater depth by Diewert (1992a, 2005) and Balk (2009a).”
Infeasibility and Directional Distance Functions with Application to the Determinateness of the Luenberger Productivity Indicator (2009, background): “Notice that “indicators” (“indexes”) denote productivity measures based on differences (ratios) (see Diewert [18]).”
Luenberger and Malmquist Productivity Indices: Theoretical Comparisons and Empirical Illustration (2003, background): “Caves, Christensen and Diewert (1982a, b) approximate the Malmquist productivity index by a less general Törnqvist index, lacking estimation procedures for distance functions at the time. (2)Note that on constant returns to scale technologies, which are predominantly used for computing Malmquist pro”