{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T20:17:50Z","timestamp":1772050670572,"version":"3.50.1"},"reference-count":23,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2022,10,4]],"date-time":"2022-10-04T00:00:00Z","timestamp":1664841600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The aim of this paper is to study the quantum-like approach to the description of the market in the context of the principle of minimum Fisher information. We wish to investigate the validity of using squeezed coherent states as market strategies. For this purpose, we focus on the representation of any squeezed coherent state with respect to the basis of the eigenvectors of the observable of market risk. We derive a formula for the probability of being the squeezed coherent state in one of these states. The distribution that we call generalized Poisson establishes the relation between the squeezed coherent states and their description in the language of risk in quantum terms. We provide a formula specifying the total risk of squeezed coherent strategy. Then, we propose a risk of risk concept that is in fact the second central moment of the generalized Poisson distribution. This is an important numerical characterization of squeezed coherent strategies. We provide its interpretations on the basis of the uncertainty relation for time and energy.<\/jats:p>","DOI":"10.3390\/e24101416","type":"journal-article","created":{"date-parts":[[2022,10,8]],"date-time":"2022-10-08T04:04:56Z","timestamp":1665201896000},"page":"1416","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Transactional Interpretation and the Generalized Poisson Distribution"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8513-9105","authenticated-orcid":false,"given":"Marcin","family":"Makowski","sequence":"first","affiliation":[{"name":"Faculty of Physics, Department of Mathematical Methods in Physics, University of Bia\u0142ystok, Ul. Cio\u0142kowskiego 1L, 15-245 Bia\u0142ystok, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8587-2283","authenticated-orcid":false,"given":"Edward Wiktor","family":"Piotrowski","sequence":"additional","affiliation":[{"name":"Faculty of Physics, Department of Mathematical Methods in Physics, University of Bia\u0142ystok, Ul. Cio\u0142kowskiego 1L, 15-245 Bia\u0142ystok, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,10,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1089","DOI":"10.1023\/A:1025443111388","article-title":"An Invitation to Quantum Game Theory","volume":"42","author":"Piotrowski","year":"2003","journal-title":"Int. J. Theor. 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Science from Fisher Information: A Unification, Cambridge University Press.","DOI":"10.1017\/CBO9780511616907"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Makowski, M., Piotrowski, E.W., Frackiewicz, P., and Szopa, P. (2021). Transactional Interpretation for the Principle of Minimum Fisher Information. Entropy, 23.","DOI":"10.3390\/e23111464"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1119\/1.1677395","article-title":"Quantum harmonic oscillator revisited: A Fourier transform approach","volume":"72","author":"Ponomarenko","year":"2004","journal-title":"Am. J. Phys."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1063\/1.881299","article-title":"Information is Physical","volume":"44","author":"Landauer","year":"1991","journal-title":"Phys. Today"},{"key":"ref_16","first-page":"36","article-title":"The so-called Cramer\u2013Rao inequality","volume":"24","author":"Shenton","year":"1970","journal-title":"Am. 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