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  • https://doi.org/10.1007/978-88-470-2342-0_26Copy DOI Icon

The generalized trapezoidal model in financial data analysis

  • Jan 1, 2012
  • Manuel Franco +2 more
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Abstract

In many practical problems, it is important to consider different distributions that could be used to model a data set. In this work, we analyze the generalized trapezoidal (GT) model in financial application. The primary reason for this is that the family of the GT distributions includes models with bounded domain used in risk analysis, and it belongs to the nonparametric class of log-concave densities under determined parametric restrictions. In the literature, one can find several references on the log-concavity and applications with interesting qualitative implications in many areas of economics, actuarial sciences, biology and engineering. Here, we classify the log-concavity of the GT model based on its parameters. We observe that it can be useful in analyzing some data sets, especially a financial market data example is used to illustrate that the GT distribution is better fitting than the symmetric distributions previously considered for this data set. Furthermore, in the particular example, the fitted GT distribution satisfies the log-concavity constraints.

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