dorsal/arxiv
View SchemaWhy does the Standard GARCH(1,1) model work well?
| Authors | G. R. Jafari, A. Bahraminasab, P. Norouzzadeh |
|---|---|
| Categories | |
| ArXiv ID | physics/0503027 |
| URL | https://arxiv.org/abs/physics/0503027 |
Abstract
The AutoRegressive Conditional Heteroskedasticity (ARCH) and its generalized version (GARCH) family of models have grown to encompass a wide range of specifications, each of them is designed to enhance the ability of the model to capture the characteristics of stochastic data, such as financial time series. The existing literature provides little guidance on how to select optimal parameters, which are critical in efficiency of the model, among the infinite range of available parameters. We introduce a new criterion to find suitable parameters in GARCH models by using Markov length, which is the minimum time interval over which the data can be considered as constituting a Markov process. This criterion is applied to various time series and results support the known idea that GARCH(1,1) model works well.
{
"annotation_id": "e5026e85-cbe7-459b-b254-e699c68a8d30",
"date_created": "2026-03-02T18:00:56.935000Z",
"date_modified": "2026-03-02T18:00:56.935000Z",
"file_hash": "f436bb7e70dd6476c7e14796bf187f3b641b0968901d026443b913f9591a558c",
"private": false,
"record": {
"abstract": "The AutoRegressive Conditional Heteroskedasticity (ARCH) and its generalized\nversion (GARCH) family of models have grown to encompass a wide range of\nspecifications, each of them is designed to enhance the ability of the model to\ncapture the characteristics of stochastic data, such as financial time series.\nThe existing literature provides little guidance on how to select optimal\nparameters, which are critical in efficiency of the model, among the infinite\nrange of available parameters. We introduce a new criterion to find suitable\nparameters in GARCH models by using Markov length, which is the minimum time\ninterval over which the data can be considered as constituting a Markov\nprocess. This criterion is applied to various time series and results support\nthe known idea that GARCH(1,1) model works well.",
"arxiv_id": "physics/0503027",
"authors": [
"G. R. Jafari",
"A. Bahraminasab",
"P. Norouzzadeh"
],
"categories": [
"physics.data-an",
"physics.gen-ph"
],
"title": "Why does the Standard GARCH(1,1) model work well?",
"url": "https://arxiv.org/abs/physics/0503027"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "a157f27c-9d20-44d1-9018-12b6ca9f5be5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}