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Parameter estimation with grouped data according to the linearization method — a comparison with alternative approaches

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Abstract

This paper considers the problem of parameter estimation when data of a random sample are given in the form of a frequency table. We give special consideration to a method that linearizes the cumulative distribution function (CDF). In that case parameters can be derived from the weighted estimation of a linear regression equation. The favourable properties of this estimation technique are demonstrated in a simulation experiment, where the parameters of a two-parameter-Weibull distribution are estimated.

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Authors and Affiliations

  1. Institute for Quantitative Economics, University of Hannover, Koenigsworther Platz 1, 30167, Hannover, Germany

    Max D. Jöhnk & Stefan Niermann

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  1. Max D. Jöhnk
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  2. Stefan Niermann
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Jöhnk, M.D., Niermann, S. Parameter estimation with grouped data according to the linearization method — a comparison with alternative approaches. Statistical Papers 43, 237–255 (2002). https://doi.org/10.1007/s00362-002-0098-7

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  • DOI: https://doi.org/10.1007/s00362-002-0098-7

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