# Conditional Forecasting Task

A Conditional Forecasting Task is a multi-predictor forecasting task with a sequential mixed multi-predictor dataset.

**Context:**- It can be solved by a Conditional Forecasting System (that implements a Conditional Forecasting Algorithm.

**Example(s):****Counter-Example(s):****See:**Conditional Classification Task.

## References

### 2012

- (Kunst, 2012) ⇒ Robert M. Kunst. (2012). “Econometric Forecasting - Conditional forecasting." Lecture Notes.
- Economists are often interested in forecasts for [math]x_{t+h}[/math] that assume [math]x_s, s \le t[/math] as known as well as the values of other variables [math]y_s, s \le t + h[/math]. The solution appears to be [math]E\left(x_{t+h} | x^t_{-\infty} \cup y^{t+h}_{-\infty}\right)[/math].
- The assumed values [math]y_{t+1},..., y_{t+h}[/math] may be incorrect;
- Any dynamic model that views [math]x_t[/math] as a function of [math]x^{t-1}_{-\infty}[/math] and [math]y^{t}_{-\infty}[/math] may miss the reaction of y to past x (feedback problem, open loop, weak and strong exogeneity);
- Changing the generation mechanism for [math]y[/math] relative to the observations may affect the reaction of [math]y[/math] (super exogeneity).

- Economists are often interested in forecasts for [math]x_{t+h}[/math] that assume [math]x_s, s \le t[/math] as known as well as the values of other variables [math]y_s, s \le t + h[/math]. The solution appears to be [math]E\left(x_{t+h} | x^t_{-\infty} \cup y^{t+h}_{-\infty}\right)[/math].

### 2005

- (Geweke & Whiteman, 2005) ⇒ John Geweke, and Charles Whiteman. (2005). “Chapter 1. Bayesian Forecasting.” In: Handbook of Economic Forecasting, 1. doi:10.1016/S1574-0706(05)01001-3
- ABSTRACT: Bayesian forecasting is a natural product of a Bayesian approach to inference. The Bayesian approach in general requires explicit formulation of a model, and conditioning on known quantities, in order to draw inferences about unknown ones. ...