Evidence map›Paper›PMID 35327853›Full record

ArticleEntropy (Basel, Switzerland)2022

Mutual Information between Order Book Layers.

Daniel Libman, Gil Ariel, Mary Schaps, Simi Haber

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. 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

4 authors.

Daniel LibmanDepartment of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel.
Gil ArielDepartment of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel.ORCID 0000-0002-7251-5383
Mary SchapsDepartment of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel.ORCID 0000-0002-9868-6244
Simi HaberDepartment of Mathematics, Bar-Ilan University, Ramat Gan 5290002, Israel.ORCID 0000-0001-8421-832X

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

The order book is a list of all current buy or sell orders for a given financial security. The rise of electronic stock exchanges introduced a debate about the relevance of the information it encapsulates of the activity of traders. Here, we approach this topic from a theoretical perspective, estimating the amount of mutual information between order book layers, i.e., different buy/sell layers, which are aggregated by buy/sell orders. We show that (i) layers are not independent (in the sense that the mutual information is statistically larger than zero), (ii) the mutual information between layers is small (compared to the joint entropy), and (iii) the mutual information between layers increases when comparing the uppermost layers to the deepest layers analyzed (i.e., further away from the market price). Our findings, and our method for estimating mutual information, are relevant to developing trading strategies that attempt to utilize the information content of the limit order book.

Indexed as

deep layers of order bookentropyentropy estimationlimit order bookmutual informationmutual information estimationprice and volumerecursive copula

Identifiers

PMID35327853
PMCPMC8947691

What OpenQuestion holds

Textmetadata
LicenceCC BY
Read underepoch 390

Registered trials

None linked

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.