statistics-the Producer Price Index (PPI), the Consumer Price Index (CPI), and the Export and Import Price Indices (XPI and MPI …

This paper proposes to clarify some important questions that are still open in the field of index number theory. The … main results are the following: (i) the so-called Quadratic Identity on which the superlative index numbers are based can … be applied in more general cases than those traditionally considered; (ii) it is not only the Toernqvist index number …

or across countries. Below the basic heading level, these price data often exhibit large gaps. Therefore,stochastic index …-level indices. Although the two index number methods produce differing price level estimates when prices are missing, the present … the GEKS method. Using price data of Germany's Consumer Price Index, it can be observed that more narrowly defined products …

algebraic methods to derive certain properties of index numbers satisfying consistency in aggregation. In particular, we show … that any such index number formula is in fact a generalized weighted mean …

The paper considers the problem of choosing a multilateral system of index numbers in order to make aggregate price and … index number formula. The great variation in relative prices and quantities in the international context means that the … approach, the concept of a superlative bilateral index number formula (which can adequately model substitution effects) is …