Chance and The Statistical Law of Large Numbers

  • Rosario D’Amico MPS Bank, Italy

Abstract




In this work we look at one special case to provide a rational basis for the following assertion known as Statistical Law of Large Numbers: If an event E has a constant probability p of occurrence on any one trial, and has occurred m times in n trials, then, if the relative frequency of E, m/n, approaches the value of a limit point l and the accuracy of the approximation increases as the number of trials increases, we have l = p. The argument we propose is based on the concepts of “event” and “trial”, formulated in a recent paper by the author himself, and their direct implications.




References

[1]. Bussetti G., Esercitazioni Pratiche di Fisica, Libreria Editrice Universitaria Levrotto&Bella, Torino.
[2]. Cecconi J.P., Stampacchia G., Analisi Matematica, Liguori Editore s.r.l., Napoli 1974.
[3]. Clark M., Paradoxes from A to Z., Routledge, New York 2012.
[4]. D'amico R., Destiny, Being and the Empirical Law of Large Numbers in Journal of Mathematical Economics and Finance ISSN 2458-0813, DOI: https://doi.org/10.14505/jmef.v6.1(10).05 2020. In Italian see also: R. D'AMICO, Mister Tanatò. Il Destino, l'Essere e la Legge Empirica dei Grandi Numeri, in Rivista di Letteratura e di Storia Ecclesiastica [Anno XXVI (2020) - n.1], I.S.S.R. Donnaregina, Napoli, pp.77-100.
[5]. Galavotti, M. C., Probabilità, La Nuova Italia, 2000.
[6]. Garcia-Baro’ M., Husserl e Gadamer, Hachette Fascicoli s.r.l., Milano, 2015.
[7]. Gnedenko B.V., The Theory of Probability., AMS Chelsea Publishing Company, New York, 2005.
[8]. Heisenberg W., Indeterminazione e realtà, a cura di G. Gembillo e G. Gregorio, Alfredo Guida Editore, Napoli, 2002.
[9]. Monod J. (1971), Il caso e la necessità, Mondadori, Milano, 2001.
[10]. Morin E., Conoscenza, ignoranza, mistero, Raffaello Cortina Editore, Milano.
[11]. Popper K.R., Logica della scoperta scientifica, Einaudi, Torino 1970.
[12]. Popper K.R., Poscritto alla logica della scoperta scientifica, Il Saggiatore, Milano 1984.
[13]. Resnik M. D., Choices. Minneapolis: University of Minnesota Press. 1987, trad. it. Scelte, franco muzzio & c. editore spa, 2003.
[14]. Ruelle D., Hasard et chaos, Paris, Edition Odile Jacob, 1991, trad.it. Caso e caos, Torino, Bollati Boringhieri Editore, 2003.
[15]. Spiegel, M., Srinivasan, A., & Schiller, J., Schaum's Outline of Theory and Problems of Probability and Statistics. The Mc Graw-Hill Companies Inc, 2000.
Published
2021-12-31
How to Cite
D’AMICO, Rosario. Chance and The Statistical Law of Large Numbers. Journal of Mathematical Economics and Finance, [S.l.], v. 7, n. 2, p. 41-53, dec. 2021. ISSN 2458-0813. Available at: <https://journals.aserspublishing.eu/jmef/article/view/6879>. Date accessed: 03 oct. 2022. doi: https://doi.org/10.14505/jmef.v7.2(13).03.