bcaconfvalues {SparseMSE}

BCa confidence intervals

Description

The BCa confidence intervals use percentiles of the bootstrap distribution of the population size , but adjust the percentile actually used. The adjusted percentiles depend on an estimated bias parameter, and the quantile function of the estimated bias parameter is the proportion of the bootstrap estimates that fall below the estimate from the original data, and an estimated acceleration factor, which derivation depends on a jackknife approach. This routine is called internally by estimatepopulation.

Usage

bcaconfvalues(bootreps, popest, ahat, alpha = c(0.025, 0.05, 0.1, 0.16,
  0.84, 0.9, 0.95, 0.975))

Arguments

bootreps

Point estimates of total population sizes from each bootstrap sample.

popest

A point estimate of the total population of the original data set.

ahat

the estimated acceleration factor

alpha

Bootstrap quantiles of interests

Value

BCa confidence intervals

References

Chan, L., Silverman, B. W., and Vincent, K. (2019). Multiple Systems Estimation for Sparse Capture Data: Inferential Challenges when there are Non-Overlapping Lists. Available from https://arxiv.org/abs/1902.05156.

DiCiccio, T. J. and Efron, B. (1996). Bootstrap Confidence Intervals. Statistical Science, 40(3), 189-228.