{
  "abstract": "This paper presents a detailed analysis of the asymptotic bias distribution of recursive identification schemes based on Pseudo-Linear Regression. As shown in a previous article, the criterion asymptotically minimized is the variance of a non-measurable signal (called the equivalent prediction error) when the system to be identified is in the model set. We prove a similar but slightly weaker (however still relevant) result when the true system does not belong to the model set, provided that the resulting bias remains small, in a sense that is specified in the paper. It is also shown that the open-loop output error algorithm obtained with Pseudo-Linear Regression provides a limit model which has the same bias distribution as the one obtained by the Instrumental Variable algorithm with auxiliary model.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "name": "Bernard Vau"
    },
    {
      "name": "Henri Bourlés"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8kq6zk1rr0v7s.bib",
  "cited_by": 0,
  "doi": "10.1002/acs.70155",
  "fulltext_url": null,
  "id": "8kq6zk1rr0v7s",
  "issns": [
    "0890-6327",
    "1099-1115"
  ],
  "landing_url": "https://hal.science/hal-05768069v1",
  "language": "en",
  "licence": "CC-BY-NC-4.0",
  "licence_label": "CC BY-NC 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "0.spi"
    ],
    [
      "openalex",
      "2207|Control Systems and Identification"
    ]
  ],
  "openalex": "W4416038293",
  "pdf_url": "https://hal.science/hal-05768069/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": "Wiley",
  "ris": "https://research.draconitic.com/paper/8kq6zk1rr0v7s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:42Z",
      "native_id": "hal-05768069",
      "source": "hal",
      "url": "https://hal.science/hal-05768069v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "On the bias distribution of pseudo-linear regression algorithms for recursive identification",
  "title_text": "On the bias distribution of pseudo-linear regression algorithms for recursive identification",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:42Z",
  "url": "https://research.draconitic.com/paper/8kq6zk1rr0v7s",
  "venue": "International Journal of Adaptive Control and Signal Processing",
  "versions": []
}