chain-type

quantity indexes uses weights of more than one period, the

These data include a breakdown of GDP into price and

quantity indexes, as well as a GDP implicit price deflator.

The Laspeyres

quantity index uses the prices of the initial period, while the Paasche

quantity index uses the prices of the end period.

The

quantity index was further decomposed into the health status index and the adjusted

quantity index (adjusted for health status).

where the R-element column vectors p and q are respectively the regional price and

quantity indexes, and E is a matrix of independently distributed random errors.

After all, we usually observe values, and the problem is one of obtaining a

quantity index by deflating values with an appropriate price index.

The output price index used here is homogeneous of degree one in prices while the output

quantity index is not necessarily.

The last equation above expresses the growth rate of the continuous-time Divisia

quantity index. The solution to this differential equation is a line integral that is path independent under the maintained assumption of weak separability (Hulten, 1973).

Modifying index numbers for new and disappearing product varieties is one way to implement empirically the recent models of endogenous growth, particularly growth resulting from the expansion of intermediate inputs.(9) Just as new varieties will lower the price indexes, they will raise the

quantity index, reflecting the contribution of new input varieties to productivity.

as the product of the chain-type

quantity index and the 2012

A

quantity index must be employed to evaluate changes in real GDP.