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Statistics: A Journal of Theoretical and Applied Statistics

Volume 17, Issue 4, 1986

Testing hypotheses in nonlinear regression for nonnormal distributions

Testing hypotheses in nonlinear regression for nonnormal distributions

DOI:
10.1080/02331888608801964
Wolfgrang H Schmidta & Silvelyn Zwanzica

pages 483-503

Available online: 04 Mar 2011

Abstract

The general nonlinear regression model is considered, where the error distribution can be nonnormal. In this paper we present tests, confidence intervals and estimators for both the regression coefficients and the variance of the observations which perform

well in the sense of second order asymptotic theory. In particular, the loss of efficiency is studied under deviations from the normal distribution including distributions with either known or unknown skewness and kurtosis

Keywords

 

Details

  • Available online: 04 Mar 2011

Author affiliations

  • a Sektion Mathematik, Humboldt-Universitat, DDR, 1086, Berlin
  • b Karl-Weierstrab-Institut fur Mathematik, DDR, 1086, Berlin

Librarians

Taylor & Francis Group