论文信息 - Singh's theorem in the lattice case

Singh's theorem in the lattice case

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.

Myoungshic Jhun | Michael Woodroofe | M. Jhun | M. Woodroofe

[1] B. Efron. Bootstrap Methods: Another Look at the Jackknife , 1979 .

[2] K. Singh,et al. On the Asymptotic Accuracy of Efron's Bootstrap , 1981 .

[3] Michael Woodroofe,et al. Very Weak Expansions for Sequential Confidence Levels , 1986 .

[4] Patrick Billingsley,et al. Probability and Measure. , 1986 .

[5] Robert H. Bowmar. Limit theorems for sums of independent random variables , 1962 .

[6] Charles Stein,et al. On the coverage probability of confidence sets based on a prior distribution , 1985 .

[7] P. Billingsley,et al. Convergence of Probability Measures , 1969 .