Invariance Principles for Jackknifing U-Statistics for Finite Population Sampling and Some Applications.
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF BIOSTATISTICS
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For simple random sampling without replacement from a finite population, suitable stochastic processes are constructed from the entire sequence of jackknife estimators based on functions of U-statistics and these are approximated in distribution by some Brownian bridge processes. Strong convergence of the Tukey estimator of the variance of jackknife U-statistics has also been established. Some applications of these results in sequential analysis relating to finite population sampling are also considered. Author
- Statistics and Probability