Some Truncated Distributions |
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Authors: | Saralees Nadarajah |
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Affiliation: | (1) School of Mathematics, University of Manchester, Manchester, M13 9PL, UK |
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Abstract: | Long-tailed distributions arise in many areas of the sciences. These distributions, however, suffer from the weakness of not having finite moments of all orders and this weakness has restricted their use. In this note, we introduce truncated versions of five of the most commonly known long-tailed distributions—which possess finite moments of all orders and could therefore be better models. Explicit expressions for the moments are derived for each of the truncated distributions. Several applications are illustrated using real data. |
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Keywords: | Long-tailed distributions Moments Truncated distributions |
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