Time series forecasting suite using statistical models
Project description
Nixtla

Statistical โก๏ธ Forecast
Lightning fast forecasting with statistical and econometric models
StatsForecast offers a collection of widely used univariate time series forecasting models, including automatic ARIMA
, ETS
, CES
, and Theta
modeling optimized for high performance using numba
. It also includes a large battery of benchmarking models.
Installation
You can install StatsForecast
with:
pip install statsforecast
or
conda install -c conda-forge statsforecast
Vist our Installation Guide for further instructions.
Quick Start
Minimal Example
from statsforecast import StatsForecast
from statsforecast.models import AutoARIMA
from statsforecast.utils import AirPassengersDF
df = AirPassengersDF
sf = StatsForecast(
models = [AutoARIMA(season_length = 12)],
freq = 'M'
)
sf.fit(df)
sf.predict(h=12, level=[95])
Get Started with this quick guide.
Follow this end-to-end walkthrough for best practices.
Why?
Current Python alternatives for statistical models are slow, inaccurate and don't scale well. So we created a library that can be used to forecast in production environments or as benchmarks. StatsForecast
includes an extensive battery of models that can efficiently fit millions of time series.
Features
- Fastest and most accurate implementations of
AutoARIMA
,AutoETS
,AutoCES
,MSTL
andTheta
in Python. - Out-of-the-box compatibility with Spark, Dask, and Ray.
- Probabilistic Forecasting and Confidence Intervals.
- Support for exogenous Variables and static covariates.
- Anomaly Detection.
- Familiar sklearn syntax:
.fit
and.predict
.
Highlights
- Inclusion of
exogenous variables
andprediction intervals
for ARIMA. - 20x faster than
pmdarima
. - 1.5x faster than
R
. - 500x faster than
Prophet
. - 4x faster than
statsmodels
. - Compiled to high performance machine code through
numba
. - 1,000,000 series in 30 min with ray.
- Replace FB-Prophet in two lines of code and gain speed and accuracy. Check the experiments here.
- Fit 10 benchmark models on 1,000,000 series in under 5 min.
Missing something? Please open an issue or write us in
Examples and Guides
๐ End to End Walkthrough: Model training, evaluation and selection for multiple time series
๐ Anomaly Detection: detect anomalies for time series using in-sample prediction intervals.
๐ฉโ๐ฌ Cross Validation: robust modelโs performance evaluation.
โ๏ธ Multiple Seasonalities: how to forecast data with multiple seasonalities using an MSTL.
๐ Predict Demand Peaks: electricity load forecasting for detecting daily peaks and reducing electric bills.
๐ Intermittent Demand: forecast series with very few non-zero observations.
๐ก๏ธ Exogenous Regressors: like weather or prices
Models
Automatic Forecasting
Automatic forecasting tools search for the best parameters and select the best possible model for a group of time series. These tools are useful for large collections of univariate time series.
Model | Point Forecast | Probabilistic Forecast | Insample fitted values | Probabilistic fitted values | Exogenous features |
---|---|---|---|---|---|
AutoARIMA | โ | โ | โ | โ | โ |
AutoETS | โ | โ | โ | โ | |
AutoCES | โ | โ | โ | โ | |
AutoTheta | โ | โ | โ | โ |
ARIMA Family
These models exploit the existing autocorrelations in the time series.
Model | Point Forecast | Probabilistic Forecast | Insample fitted values | Probabilistic fitted values | Exogenous features |
---|---|---|---|---|---|
ARIMA | โ | โ | โ | โ | โ |
AutoRegressive | โ | โ | โ | โ | โ |
Theta Family
Fit two theta lines to a deseasonalized time series, using different techniques to obtain and combine the two theta lines to produce the final forecasts.
Model | Point Forecast | Probabilistic Forecast | Insample fitted values | Probabilistic fitted values | Exogenous features |
---|---|---|---|---|---|
Theta | โ | โ | โ | โ | |
OptimizedTheta | โ | โ | โ | โ | |
DynamicTheta | โ | โ | โ | โ | |
DynamicOptimizedTheta | โ | โ | โ | โ |
Multiple Seasonalities
Suited for signals with more than one clear seasonality. Useful for low-frequency data like electricity and logs.
Model | Point Forecast | Probabilistic Forecast | Insample fitted values | Probabilistic fitted values | Exogenous features |
---|---|---|---|---|---|
MSTL | โ | โ | โ | โ | If trend forecaster supports |
GARCH and ARCH Models
Suited for modeling time series that exhibit non-constant volatility over time. The ARCH model is a particular case of GARCH.
Model | Point Forecast | Probabilistic Forecast | Insample fitted values | Probabilistic fitted values | Exogenous features |
---|---|---|---|---|---|
GARCH | โ | โ | โ | โ | |
ARCH | โ | โ | โ | โ |
Baseline Models
Classical models for establishing baseline.
Model | Point Forecast | Probabilistic Forecast | Insample fitted values | Probabilistic fitted values | Exogenous features |
---|---|---|---|---|---|
HistoricAverage | โ | โ | โ | โ | |
Naive | โ | โ | โ | โ | |
RandomWalkWithDrift | โ | โ | โ | โ | |
SeasonalNaive | โ | โ | โ | โ | |
WindowAverage | โ | ||||
SeasonalWindowAverage | โ |
Exponential Smoothing
Uses a weighted average of all past observations where the weights decrease exponentially into the past. Suitable for data with clear trend and/or seasonality. Use the SimpleExponential
family for data with no clear trend or seasonality.
Model | Point Forecast | Probabilistic Forecast | Insample fitted values | Probabilistic fitted values | Exogenous features |
---|---|---|---|---|---|
SimpleExponentialSmoothing | โ | ||||
SimpleExponentialSmoothingOptimized | โ | ||||
SeasonalExponentialSmoothing | โ | ||||
SeasonalExponentialSmoothingOptimized | โ | ||||
Holt | โ | โ | โ | โ | |
HoltWinters | โ | โ | โ | โ |
Sparse or Intermittent
Suited for series with very few non-zero observations
Model | Point Forecast | Probabilistic Forecast | Insample fitted values | Probabilistic fitted values | Exogenous features |
---|---|---|---|---|---|
ADIDA | โ | ||||
CrostonClassic | โ | ||||
CrostonOptimized | โ | ||||
CrostonSBA | โ | ||||
IMAPA | โ | ||||
TSB | โ |
๐จ How to contribute
See CONTRIBUTING.md.
Citing
@misc{garza2022statsforecast,
author={Federico Garza, Max Mergenthaler Canseco, Cristian Challรบ, Kin G. Olivares},
title = {{StatsForecast}: Lightning fast forecasting with statistical and econometric models},
year={2022},
howpublished={{PyCon} Salt Lake City, Utah, US 2022},
url={https://github.com/Nixtla/statsforecast}
}
Contributors โจ
Thanks goes to these wonderful people (emoji key):
This project follows the all-contributors specification. Contributions of any kind welcome!