{
  "abstract": "In this paper, we study the estimation problem of generalized cyclic autocorrelation functions with unknown lag-dependent cycle frequencies for generalized almost cyclostationary processes. We establish the conditions under which the estimator is mean-square consistent and asymptotically normal. In addition, we consider the discrete-time counterpart of this estimator for sampled stochastic processes and establish the sufficient conditions for its mean-square consistency and asymptotic normality. A Monte Carlo study in a realistic simulation scenario illustrates the results: the correlogram with estimated frequencies behaves like the correlogram with the true frequencies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "name": "Anna E. Dudek"
    },
    {
      "name": "Antonio Napolitano"
    },
    {
      "name": "Jakub Rutkowski"
    },
    {
      "name": "Jakub Wojdyła"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4qx4fnhgxs757.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "4qx4fnhgxs757",
  "issns": [],
  "landing_url": "https://amu.hal.science/hal-05720542v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.stat"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://amu.hal.science/hal-05720542/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4qx4fnhgxs757.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:01Z",
      "native_id": "hal-05720542",
      "source": "hal",
      "url": "https://amu.hal.science/hal-05720542v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.stat",
      "subfield": "statistics"
    }
  ],
  "title": "Inference for Generalized Almost Cyclostationary Processes with Unknown Lag-Dependent Cycle Frequencies",
  "title_text": "Inference for Generalized Almost Cyclostationary Processes with Unknown Lag-Dependent Cycle Frequencies",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:01Z",
  "url": "https://research.draconitic.com/paper/4qx4fnhgxs757",
  "venue": "HAL",
  "versions": []
}