Evidence map›Paper›PMID 31156271›Full record

ArticleJournal of applied probability2017

Subcritical Sevastyanov branching processes with nonhomogeneous Poisson immigration.

Ollivier Hyrien, Kosto V Mitov, Nikolay M Yanev

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Journal of applied probability, 2017. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.

0numbers the graph read from it
0cells of the map it votes in
3citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

3 citing papers in PubMed.

  1. Article
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4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

3 authors.

Ollivier HyrienUniversity of Rochester.
Kosto V MitovAviation faculty-NMU.
Nikolay M YanevBulgarian Academy of Sciences.

Funding

Modeling B Cell Vaccine Responses in Transplant RecipientsR01AI069351 · NIAID · UNIVERSITY OF ROCHESTER · PI HYRIEN, OLLIVIER, ZAND, MARTIN S · 2007 to 2016
$3.7M
Modeling Mechanisms of Adjuvanted Influenza Vaccine Induced IgG Repertoire Diversity and Heterosubtypic ImmunityR01AI129518 · NIAID · UNIVERSITY OF ROCHESTER · PI HYRIEN, OLLIVIER, ZAND, MARTIN S · 2017 to 2021
$3.5M
STOCHASTIC MODELING OF MULTI TYPE CELL SYSTEMSR01NS039511 · NINDS · UNIVERSITY OF UTAH · PI HYRIEN, OLLIVIER · 2001 to 2011
$3.2M
Statistical Inference on Chemotherapy Effects from Flow Cytometry DataR01CA134839 · NCI · UNIVERSITY OF ROCHESTER · PI HYRIEN, OLLIVIER · 2008 to 2012
$1.2M
NCI NIH HHS R01 CA134839NIAID NIH HHS R01 AI069351NIAID NIH HHS R01 AI129518NINDS NIH HHS R01 NS039511
6 · The paper itself

Abstract

We consider a class of Sevastyanov branching processes with non-homogeneous Poisson immigration. These processes relax the assumption required by the Bellman-Harris process which imposes the lifespan and offspring of each individual to be independent. They find applications in studies of the dynamics of cell populations. In this paper, we focus on the subcritical case and examine asymptotic properties of the process. We establish limit theorems, which generalize classical results due to Sevastyanov and others. Our key findings include novel LLN and CLT which emerge from the non-homogeneity of the immigration process.

Indexed as

60J8562P10Branching processesImmigrationLimit theoremsPoisson processPrimary 60J80Secondary 60F05

Identifiers

PMID31156271
PMCPMC6540977

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.