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A note on the properties of the reproductive dispersion model

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  • Xia, Tian
  • Wang, Yuebao

Abstract

In this paper, we investigate the conditions under which derivatives of integrals with respect to a one-dimensional parameter of the reproductive dispersion model (RDM) can be computed under the integral sign. Furthermore, our main results are applied to the generalized linear model (GLM) with error distributions from the RDM and to the Cramér-Rao inequality.

Suggested Citation

  • Xia, Tian & Wang, Yuebao, 2010. "A note on the properties of the reproductive dispersion model," Statistics & Probability Letters, Elsevier, vol. 80(17-18), pages 1397-1404, September.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:17-18:p:1397-1404
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    References listed on IDEAS

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    1. Rinaldo Artes & Bent Jørgensen, 2000. "Longitudinal Data Estimating Equations for Dispersion Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 27(2), pages 321-334, June.
    2. Tang, Nian-Sheng & Wei, Bo-Cheng & Wang, Xue-Ren, 2000. "Influence diagnostics in nonlinear reproductive dispersion models," Statistics & Probability Letters, Elsevier, vol. 46(1), pages 59-68, January.
    3. Xia, Tian & Tang, Nian-Sheng & Wang, Xue-Ren, 2006. "Consistency and asymptotic normality of the maximum likelihood estimates in reproductive dispersion linear models," Statistics & Probability Letters, Elsevier, vol. 76(11), pages 1137-1146, June.
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