Sapienza University of Rome Researcher Details New Studies and Findings in the Area of Risk Management (Invariance of the Mathematical Expectation of a Random Quantity and Its Consequences): Insurance – Risk Management

2024 FEB 01 (NewsRx) -- By a News Reporter-Staff News Editor at Insurance Daily News -- New study results on risk management have been published. According to news originating from Rome, Italy, by NewsRx correspondents, research stated, “Possibility and probability are the two aspects of uncertainty, where uncertainty represents the ignorance of a given individual. The notion of alternative (or event) belongs to the domain of possibility.”

Our news correspondents obtained a quote from the research from Sapienza University of Rome: “An event is intrinsically subdivisible and a quadratic metric, whose value is intrinsic or invariant, is used to study it. By subdividing the notion of alternative, a joint (bivariate) distribution of mass appears. The mathematical expectation of X is proved to be invariant using joint distributions of mass. The same is true for X12 and X12...m. This paper describes the notion of a-product, which refers to joint distributions of mass, as a way to connect the concept of probability with multilinear matters that can be treated through statistical inference. This multilinear approach is a meaningful innovation with regard to the current literature.”

According to the news reporters, the research concluded: “Linear spaces over R with a different dimension can be used as elements of probability spaces. In this study, a more general expression for a measure of variability referred to a single random quantity is obtained. This multilinear measure is obtained using different joint distributions of mass, which are all considered together.”

For more information on this research see: Invariance of the Mathematical Expectation of a Random Quantity and Its Consequences. Risks, 2024,12(1). (Risks - http://www.mdpi.com/journal/risks). The publisher for Risks is MDPI AG.

A free version of this journal article is available at https://doi.org/10.3390/risks12010014.

Our news editors report that more information may be obtained by contacting Pierpaolo Angelini, Dipartimento di Scienze Statistiche, Sapienza University of Rome, Piazzale Aldo Moro 5, 00185 Roma, Italy.

ORCID is an identifier for authors and includes bibliographic information. The following is ORCID information for the author of this research: Pierpaolo Angelini (http://orcid.org/0000-0002-4074-9679).

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