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pro vyhledávání: '"Ostaszewski, A. J."'
In a continuous-time setting we investigate how the management of a firm controls a dynamic choice between two generic voluntary disclosure decision rules: one with full and transparent disclosure termed $\it{candid}$, the other, termed $\it{sparing}
Externí odkaz:
http://arxiv.org/abs/2210.11315
We analyze the functional equation $$F(x+F(x))=-F(x)$$ and reveal its relationship with a system of partial differential equations arising as the hydrodynamic limit of a system of pinned billiard balls on the line. The system of balls must freeze at
Externí odkaz:
http://arxiv.org/abs/2205.03141
Autor:
Bingham, N. H., Ostaszewski, A. J.
We are concerned below with the characterization in a unital commutative real Banach algebra $\mathbb{A}$ of continuous solutions of the Go{\l}\k{a}b-Schinzel functional equation (below), the general Popa groups they generate and the associated Goldi
Externí odkaz:
http://arxiv.org/abs/2105.07794
A foundational approach is developed for a mathematical theory of managerial disclosure in relation to asset pricing; this involves both the earnings guidance disclosed by firm management and market `trackers' pricing the firm's exposure to quotable
Externí odkaz:
http://arxiv.org/abs/2002.04886
Autor:
Bingham, N. H., Ostaszewski, A. J.
We survey the connections between extreme-value theory and regular variation, in one and higher dimensions, from the algebraic point of view of our recent work on Popa groups.
Externí odkaz:
http://arxiv.org/abs/2001.05420
Akademický článek
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Consider an odd-sized jury, which determines a majority verdict between two equiprobable states of Nature. If each juror independently receives a binary signal identifying the correct state with identical probability $p$, then the probability of a co
Externí odkaz:
http://arxiv.org/abs/1911.11827
Autor:
Bingham, N. H., Ostaszewski, A. J.
This is the second of three sequels to arXiv1407.4089 -- the third of the resulting quartet -- concerning the real-valued continuous solutions of the multivariate Goldie functional equation (GFE) below of Levi-Civita type. Following on from the prece
Externí odkaz:
http://arxiv.org/abs/1910.05817
Autor:
Bingham, N. H., Ostaszewski, A. J.
In this sequel to arXiv1407.4089 by the second author, we extend to multi-dimensional (or infinite-dimensional) settings the Goldie equation arising in the general regular variation of `General regular variation, Popa groups and quantifier weakening'
Externí odkaz:
http://arxiv.org/abs/1910.05816
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 August 2023 524(2)
