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Singh's theorem in the lattice case

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  • Woodroofe, Michael
  • Jhun, Myoungshic

Abstract

The asymptotic behavior of the parametric bootstrap estimator of the sampling distribution of a maximum likelihood estimator is investigated in a simple lattice case, integer valued random variables whose distributions form an exponential family. The expected value of the bootstrap estimator is compared with an Edgeworth expansion, less the continuity correction.

Suggested Citation

  • Woodroofe, Michael & Jhun, Myoungshic, 1988. "Singh's theorem in the lattice case," Statistics & Probability Letters, Elsevier, vol. 7(3), pages 201-205, December.
    • Handle: RePEc:eee:stapro:v:7:y:1988:i:3:p:201-205
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