Evidence map›Paper›PMID 27134694›Full record

ArticleElectronic journal of statistics

A test of homogeneity for age-dependent branching processes with immigration.

Ollivier Hyrien, Nikolay M Yanev, Craig T Jordan

Abstract read
PubMed Full text at PMC Publisher
In one paragraph

Article in Electronic journal of statistics. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing 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

1 citing paper in PubMed.

  1. Article
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, Rochester, New York, USA.
Nikolay M YanevInstitute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria.
Craig T JordanUniversity of Colorado, Denver, USA.

Funding

Modeling B Cell Vaccine Responses in Transplant RecipientsR01AI069351 · NIAID · UNIVERSITY OF ROCHESTER · PI HYRIEN, OLLIVIER, ZAND, MARTIN S · 2007 to 2016
$3.7M
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 AI069351NINDS NIH HHS R01 NS039511
6 · The paper itself

Abstract

We propose a novel procedure to test whether the immigration process of a discretely observed age-dependent branching process with immigration is time-homogeneous. The construction of the test is motivated by the behavior of the coefficient of variation of the population size. When immigration is time-homogeneous, we find that this coefficient converges to a constant, whereas when immigration is time-inhomogeneous we find that it is time-dependent, at least transiently. Thus, we test the assumption that the immigration process is time-homogeneous by verifying that the sample coefficient of variation does not vary significantly over time. The test is simple to implement and does not require specification or fitting any branching process to the data. Simulations and an application to real data on the progression of leukemia are presented to illustrate the approach.

Indexed as

Coefficient of VariationContinuous-Time Branching ProcessesLeukemiaNon-Homogeneous Poisson Process

Identifiers

PMID27134694
PMCPMC4851446

What OpenQuestion holds

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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.