# G-Series

(version française : https://StatCan.github.io/gensol-gseries/fr/articles/gseries.html)

## Description

G‑Series is Statistics Canada’s (StatCan) generalized system devoted to the benchmarking and reconciliation of time series data. The methods used in G‑Series essentially come from

- Dagum, E. B., and P. Cholette (2006). Benchmarking, Temporal Distribution and Reconciliation Methods of Time Series. Springer-Verlag, New York, Lecture Notes in Statistics, #186.

### Time Series Benchmarking

Goal: restore coherence between time series data of the same target variable measured at different frequencies (e.g., sub-annually and annually).

The family of topics included under the benchmarking umbrella in G‑Series includes, among others, temporal distribution (the reciprocal action of benchmarking: disaggregation of the benchmark series into more frequent observations), calendarization (a special case of temporal distribution) and linking (the connection of different time series segments into a single consistent time series).

### Time Series Reconciliation

Goal: restore cross-sectional (contemporaneous) constraints in a system of time series measured at the same frequency (e.g., provincial and national series) with the optional preservation of temporal constraints.

The reconciliation of aggregation tables (data cubes) involving only additivity constraints is called raking in G‑Series while balancing refers to a more general class of reconciliation problems involving any type of linear constraints (including inequality constraints).

## Software Availability

While early versions of G‑Series (v1.04 and v2.0) were developed in SAS®, the software became an open-source tool with the release of G‑Series 3.0 (R package gseries 3.0.0). This project is devoted to the open-source version of G‑Series (R package gseries). Email us at g-series@statcan.gc.ca for information about the SAS® versions. StatCan employees can also visit the G‑Series Confluence page on the agency’s intranet (search for “G-Series | G-Séries” in Confluence).

## Training

StatCan offers training on these topics. Visit the following pages on the agency’s website for more information:

- Theory and Application of Benchmarking (Course code 0436)
- Theory and Application of Reconciliation (Course code 0437)

## Contact - Support

G‑Series support is provided by the Time Series Research and Analysis Centre (TSRAC) in the Economic Statistics Methods Division (ESMD) and the Digital Processing Solutions Division (DPSD). Email us at g-series@statcan.gc.ca for information or help using G‑Series. GitHub account holders can also request information, ask questions or report problems through the G‑Series GitHub project Issues page. StatCan employees can do the same through the Issues page of the G‑Series GitLab development project hosted on the agency’s intranet (search for “G-Series in R - G-Séries en R” in GitLab).