A generalized polynomial-logistic distribution and applications |
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Authors: | Vasileios M Koutras Konstantinos Drakos |
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Institution: | 1. Department of Accounting and Finance, Athens University of Economics and Business, Athens, Greecevkoutras@icloud.com;3. Department of Accounting and Finance, Athens University of Economics and Business, Athens, Greece |
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Abstract: | ABSTRACTIn the present article we introduce a new class of distributions which nests the classical Logistic distribution and offers additional flexibility when data fitting is chased. We provide exact expressions for its moments and absolute moments, investigate its ageing properties, and discuss several techniques for estimating its parameters. Finally, we use the new family to build a parametric model that describes accurately the Euro/CAD exchange reference rates for the period 1/4/1999–12/31/2011. |
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Keywords: | Generalized Logistic distribution logit transformation skew distributions maximum likelihood estimation moment estimators real data modelling |
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