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A generalized delta method with applications to intrinsic diversity profiles

Published online by Cambridge University Press:  05 September 2017

Marzia Marcheselli
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Abstract

A generalization of the delta method is proposed. The asymptotic distribution of g(Y n ) is obtained when g is not necessarily a differentiable function but verifies some weaker regularity conditions. An application to diversity profiles is also presented.

Keywords

Delta methoddifferentiabilityintrinsic diversity profiles
Type
Research Papers
Information
Journal of Applied Probability , Volume 37 , Issue 2 , June 2000 , pp. 504 - 510

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References

Gove, J. H., Patil, G. P., Swindel, B. F., and Taillie, C. (1994). Ecological diversity and forest management. In Handbook of Statistics, eds Patil, G. P. and Rao, C. R., Vol. 12. Elsevier Science B.V., Amsterdam, pp. 409–462.Google Scholar
Kallenberg, O. (1997). Foundations of Modern Probability. Springer, New York.Google Scholar
Patil, G. P., and Taillie, C. (1982). Diversity as a concept and its measurement. J. Amer. Statist. Assoc. 77, 548–567.CrossRefGoogle Scholar
Pollard, D. (1984). Convergence of Stochastic Processes. Springer, New York.CrossRefGoogle Scholar
Schervish, M. J. (1995). Theory of Statistics. Springer, New York.CrossRefGoogle Scholar
Shao, J., and Tu, D. (1995). The Jackknife and Bootstrap. Springer, New York.CrossRefGoogle Scholar