{
  "abstract": "This thesis studies finite projections of transient regenerative processes, constructed by conditioning regeneration cycles to be finite. It develops comparisons between the original and projected laws, including finite-time bounds and best-approximation properties for specified metrics and comparison classes. Applications concern birth-and-death processes, Markov chains and semi-Markov processes, with explicit queueing examples. Structural results describe projections associated with different regeneration states, invariant measures and connections with Martin boundary kernels. The thesis also studies reconstruction of birth-and-death rates from passage-time laws and continued-fraction representations of Laplace-Stieltjes transforms for skip-free semi-Markov processes, together with truncation-error bounds. This is a corrected English edition of a Romanian doctoral thesis completed in 1998 and defended in 1999. The preface distinguishes the historical work from corrections and later additions made for this edition.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38339",
  "author_total": 1,
  "authors": [
    {
      "name": "Alexandru Hlibiciuc"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ab4111gbm1x58.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38339",
  "fulltext_url": null,
  "id": "ab4111gbm1x58",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38339",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.PR"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38339",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ab4111gbm1x58.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:32Z",
      "native_id": "2610.38339",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38339"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "The Characteristics of Finite Projections of Certain Stochastic Processes and Queues",
  "title_text": "The Characteristics of Finite Projections of Certain Stochastic Processes and Queues",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/ab4111gbm1x58",
  "venue": "arXiv",
  "versions": []
}