Evidence map›Paper›PMID 36554135›Full record

ArticleEntropy (Basel, Switzerland)2022

Mildly Explosive Autoregression with Strong Mixing Errors.

Xian Liu, Xiaoqin Li, Min Gao, Wenzhi Yang

Abstract read
In one paragraph

Article in Entropy (Basel, Switzerland), 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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

0 citing papers in PubMed.

No citing paper in PubMed yet.

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

4 authors.

Xian LiuSchool of Big Data and Statistics, Anhui University, Hefei 230039, China.
Xiaoqin LiSchool of Big Data and Statistics, Anhui University, Hefei 230039, China.
Min GaoSchool of Big Data and Statistics, Anhui University, Hefei 230039, China.
Wenzhi YangSchool of Big Data and Statistics, Anhui University, Hefei 230039, China.ORCID 0000-0003-0487-5974

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

In this paper, we consider the mildly explosive autoregression yt=ρnyt−1+ut, 1≤t≤n, where ρn=1+c/nν, c>0, ν∈(0,1), and u1,…,un are arithmetically α-mixing errors. Under some weak conditions, such as Eu1=0, E|u1|4+δ<∞ for some δ>0 and mixing coefficients α(n)=O(n−(2+8/δ)), the Cauchy limiting distribution is established for the least squares (LS) estimator ρ^n of ρn, which extends the cases of independent errors and geometrically α-mixing errors. Some simulations for ρn, such as the empirical probability of the confidence interval and the empirical density, are presented to illustrate the Cauchy limiting distribution, which have good finite sample performances. In addition, we use the Cauchy limiting distribution of the LS estimator ρ^n to illustrate real data from the NASDAQ composite index from April 2011 to April 2021.

Indexed as

Cauchy distributionleast squares estimatormildly explosive autoregressionstrong mixing sequences

Identifiers

PMID36554135
PMCPMC9778470

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.