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Confidence intervals for the number of unseen types

Author

Listed:
  • Finkelstein, Mark
  • Tucker, Howard G.
  • Veeh, Jerry Alan

Abstract

This paper finds the unique maximum likelihood estimator of, and conservative confidence intervals for, the unknown number of different coupons in the coupon collector's problem. This problem is also known as the problem of estimating the abundance of wildlife. The techniques developed here can be easily implemented, are valid without regard to sample size, and validate previous methods based on large sample theory when those methods apply.

Suggested Citation

  • Finkelstein, Mark & Tucker, Howard G. & Veeh, Jerry Alan, 1998. "Confidence intervals for the number of unseen types," Statistics & Probability Letters, Elsevier, vol. 37(4), pages 423-430, March.
    • Handle: RePEc:eee:stapro:v:37:y:1998:i:4:p:423-430
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    Cited by:

    1. Gregory Dobson & Tolga Tezcan, 2015. "Optimal sampling strategies in the coupon collector’s problem with unknown population size," Annals of Operations Research, Springer, vol. 233(1), pages 77-99, October.

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