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A limit theorem for triangle functions
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DOI：10.1016/j.fss.2005.04.008.png)
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Abstract
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A wide class of triangle functions that can be interpreted as generalized pseudo-convolutions of distribution functions has been considered. In order to find out whether a nontrivial limit for the sequence of the pseudo-convolutions of distribution functions exists or not, some pseudo-Laplace-type transformations have been introduced. The main result is illustrated with a family of pseudo-convolutions based on a family of Schweizer-Sklar t-norms and another example is given with a calculation of the analytical form of the limit function. (c) 2005 Elsevier B.V. All rights reserved.
Keywords:
semiring
pseudo-operations
generalized pseudo-convolution
pseudo-Laplace transforms
triangle function
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