On Variance Estimation for the Population Size Estimator under One-Inflated Positive Poisson Distribution

Authors

  • Razik Ridzuan Mohd Tajuddin Department of Mathematical Sciences, Universiti Kebangsaan Malaysia
  • Noriszura Ismail Department of Mathematical Sciences, Universiti Kebangsaan Malaysia
  • Kamarulzaman Ibrahim Department of Mathematical Sciences, Universiti Kebangsaan Malaysia

DOI:

https://doi.org/10.11113/mjfas.v18n2.2372

Keywords:

Horvitz-Thompson estimator, capture-recapture, count inflation, zero-truncated Poisson

Abstract

Let NO1PPbe the Horvitz-Thompson estimator for the population size with one-inflated positive Poisson distribution as the underlying distribution. We estimate the variance of this estimator using conditional expectation technique and provide some descriptions on the variance and its associated confidence interval based on simulation study and real data applications.

References

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Published

16-05-2022