RESERVA MATEMÁTICA ACTUARIAL PARA LA EXTRACCIÓN DE RECURSOS NO-RENOVABLES A PARTIR DE VARIABLES DE PÉRDIDA NO-NEGATIVAS

Rigoberto Real Miranda; José Daniel López Barrientos

doi:10.24309/reccta.2022.23.2.02

RESERVA MATEMÁTICA ACTUARIAL PARA LA EXTRACCIÓN DE RECURSOS NO-RENOVABLES A PARTIR DE VARIABLES DE PÉRDIDA NO-NEGATIVAS

Translated title of the contribution: Actuarial mathematical reserve for the extraction of non-renewable resources from non-negative loss variables

Rigoberto Real Miranda, José Daniel López Barrientos

Universidad Anáhuac

Research output: Contribution to journal › Article › peer-review

Abstract

Based on the traditional definition of the actuarial mathematical reserve of a whole life insurance, the mathematical reserve for a non-renewable resource is constructed and studied, which considers the extraction dynamics of this resource as part of the benefit obtained. Although nonrenewable resources are finite, it is assumed that the future lifetime of the resource has an infinite time horizon, and that its distribution is in one of the forms Exponential, Weibull, Gamma, and Chen. A method is also presented that combines a recursive process with the trapezoid rule which, more generally, allows calculating the components of the mathematical reserve, regardless of the complexity of the distribution or the parameters of the future lifetime for the non renewable resource.

Translated title of the contribution	Actuarial mathematical reserve for the extraction of non-renewable resources from non-negative loss variables
Original language	Spanish
Pages (from-to)	95-117
Number of pages	23
Journal	Recta
Volume	23
Issue number	2
DOIs	https://doi.org/10.24309/reccta.2022.23.2.02
State	Published - 1 Jan 2022

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title = "RESERVA MATEM{\'A}TICA ACTUARIAL PARA LA EXTRACCI{\'O}N DE RECURSOS NO-RENOVABLES A PARTIR DE VARIABLES DE P{\'E}RDIDA NO-NEGATIVAS",

abstract = "Based on the traditional definition of the actuarial mathematical reserve of a whole life insurance, the mathematical reserve for a non-renewable resource is constructed and studied, which considers the extraction dynamics of this resource as part of the benefit obtained. Although nonrenewable resources are finite, it is assumed that the future lifetime of the resource has an infinite time horizon, and that its distribution is in one of the forms Exponential, Weibull, Gamma, and Chen. A method is also presented that combines a recursive process with the trapezoid rule which, more generally, allows calculating the components of the mathematical reserve, regardless of the complexity of the distribution or the parameters of the future lifetime for the non renewable resource.",

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author = "{Real Miranda}, Rigoberto and {L{\'o}pez Barrientos}, {Jos{\'e} Daniel}",

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AU - López Barrientos, José Daniel

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AB - Based on the traditional definition of the actuarial mathematical reserve of a whole life insurance, the mathematical reserve for a non-renewable resource is constructed and studied, which considers the extraction dynamics of this resource as part of the benefit obtained. Although nonrenewable resources are finite, it is assumed that the future lifetime of the resource has an infinite time horizon, and that its distribution is in one of the forms Exponential, Weibull, Gamma, and Chen. A method is also presented that combines a recursive process with the trapezoid rule which, more generally, allows calculating the components of the mathematical reserve, regardless of the complexity of the distribution or the parameters of the future lifetime for the non renewable resource.

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KW - differential games

KW - dynamic programming

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RESERVA MATEMÁTICA ACTUARIAL PARA LA EXTRACCIÓN DE RECURSOS NO-RENOVABLES A PARTIR DE VARIABLES DE PÉRDIDA NO-NEGATIVAS

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