Análise da eficácia do teste de aderência do desvio quadrático médio para seleção de tábua de mortalidade em relação ao tamanho populacional

Abstract

The adhesion tests are statistical tests to estimate the distribution that best adheres or resembles determined set of data, they will be used to determine which demografic premise to utilize in the actuarial calculation in RPPS. This study aims to test the Relative Mean Square Deviation to select a mortality table for municipal RPPS with few participants. To analyze the adherence of demographic variables, we need to observe the occurrence of events over time, because the fact of having observed a greater number of events related to the death or survival of the participants during a single year does not mean that the adopted tables are incorrect, since this difference can only be the result of a random variation. Thus, we simulated several random populations and their respective deaths according to different mortality tables. In the abovementioned simulation, we found that the Relative Mean Square Deviation test is not appropriate for small populations.