A Gamma moving average process for modelling dependence across development years in run-off triangles

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<title>Gamma moving average process for modelling dependence across development years in run-off triangles</title>
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<namePart>Nieto-Barajas, Luis E.</namePart>
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<namePart>Targino, Rodrigo S. </namePart>
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<abstract displayLabel="Summary">We propose a stochastic model for claims reserving that captures dependence along development years within a single triangle. This dependence is based on a gamma process with a moving average form of order p = 0 which is achieved through the use of poisson latent variables.We carry out Bayesian inference on model parameters and borrow strength across several triangles, coming from different lines of businesses or companies, through the use of hierarchical priors. We carry out a simulation study as well as a real data analysis. Results show that reserve estimates, for the real data set studied, are more accurate with our gamma dependence model as compared to the benchmark over-dispersed poisson that assumes independence.</abstract>
<note type="statement of responsibility">Luis E. Nieto-Barajas, Rodrigo S. Targino</note>
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<topic>Modelo estocástico</topic>
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<subject xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MAPA20090041721">
<topic>Distribución Poisson-Beta</topic>
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<topic>Estimación</topic>
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<topic>Cálculo actuarial</topic>
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<title>Astin bulletin</title>
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<publisher>Belgium : ASTIN and AFIR Sections of the International Actuarial Association</publisher>
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<identifier type="issn">0515-0361</identifier>
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<text>01/01/2021 Volumen 51 Número 1 - enero 2021 , p. 245-266</text>
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