arbiter
JournalsPricingAccount

Bernstein duality revisited: Frequency-dependent selection, coordinated mutation and opposing environments

Fernando Cordero et al.

Bernoulli2026https://doi.org/10.3150/25-bej1883article
ABDC A
Weight
0.50

What the paper says

This paper investigates the long-term behavior of a class of Λ-Wright–Fisher processes incorporating frequency-dependent selection, coordinated (bidirectional) selection, as well as individual and coordinated mutation. Our primary analytical tool is Bernstein duality, a generalization of moment duality. We introduce the corresponding dual process and establish the relevant duality relation. Without mutation, this work complements earlier studies that employed moment duality, Siegmund duality or other methods to classify the long-term behavior of similar processes. Notably, the current analysis encompasses parameter regimes that model bidirectional selection, a scenario that has proven challenging to analyze using moment duality. In the presence of mutation, we establish the ergodic properties of the process.

Open paper page →

Cite this paper

https://doi.org/https://doi.org/10.3150/25-bej1883

Or copy a formatted citation

@article{fernando2026,
  title        = {{Bernstein duality revisited: Frequency-dependent selection, coordinated mutation and opposing environments}},
  author       = {Fernando Cordero et al.},
  journal      = {Bernoulli},
  year         = {2026},
  doi          = {https://doi.org/https://doi.org/10.3150/25-bej1883},
}

Paste directly into BibTeX, Zotero, or your reference manager.

Flag this paper

Bernstein duality revisited: Frequency-dependent selection, coordinated mutation and opposing environments

Flags are reviewed by the Arbiter methodology team within 5 business days.

Evidence weight

0.50

Balanced mode · F 0.40 / M 0.15 / V 0.05 / R 0.40

F · citation impact0.50 × 0.4 = 0.20
M · momentum0.50 × 0.15 = 0.07
V · venue signal0.50 × 0.05 = 0.03
R · text relevance †0.50 × 0.4 = 0.20

† Text relevance is estimated at 0.50 on the detail page — for your query’s actual relevance score, open this paper from a search result.