AUTHORS: Nitis Mukhopadhyay, Debanjan Bhattacharjee

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In this article we will discuss estimation of a closed population size under inverse binomial sampling with mark-recapture strategy. This talk is based on the methodology laid out by Mukhopadhyay and Bhattacharjee (2018). Under squared error loss (SEL) as well as weighted SEL, we propose sequential methodologies to come up with bounded risk point estimators of an optimal choice of s, the number of tagged items; leading to an appropriate sequential estimator of N. The sequential estimation methodologies are supplemented with first-order asymptotic properties, which are followed by extensive data analyses. We might also briefly discuss other inferential procedures on estimating N.

KEYWORDS: Asymptotics; Bounded-risk; Capture; First-order properties; Recapture; Release; Risk; Sequential methodology; Squared error loss; Tagging; Weighted squared error loss

REFERENCES:

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[2] M. Ghosh, and N. Mukhopadhyay, Sequential Point Estimation of the Mean when the Distribution is Unspecified, Communications in Statistics-Theory & Methods 8, 1979, pp. 637- 652.

[3] N. Mukhopadhyay and D. Bhattacharjee, Sequentially Estimating the Required Optimal Observed Number of Tagged Items with Bounded Risk in the Recapture Phase Under Inverse Binomial Sampling Sequential Analysis, 37, 2018, pp. 412-429.

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