On Unimodal Regression in the Exponential Family |
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Authors: | Kjell Pettersson |
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Institution: | 1. Department of Economics, Statistical Research Unit , University of Gothenburg , G?teborg, Sweden kjell.pettersson@statistics.gu.se |
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Abstract: | In this article, we discuss statistical methods for curve-estimation under the assumption of unimodality for variables with distributions belonging to the two-parameter exponential family with known or constant dispersion parameter. An important special case is a one-parameter distribution. We suggest a nonparametric method based on monotonicity properties. The method is applied to Swedish data on laboratory verified diagnoses of influenza and data on inflation from an episode of hyperinflation in Bulgaria. |
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Keywords: | Known dispersion parameter Nonparametric Order restrictions Poisson distribution Two-parameter exponential family |
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