Estimation of a Population Size Using Hypergeometric Distribution with Multiple Observations

Friday, October 28, 2011
Hall 1-2 (San Jose Convention Center)
Shonte Walton , Mathematics, Dillard University, New Orleans, LA
Kara Keller , Mathematics, Xavier University, New Orleans, LA
Jonathan Lowe , Mathematics, Morehouse College, Atlanta, GA
Toya Skeete , Mathematics, Spelman College, Atlanta, GA
Jaron Frost , College of Science and Technology, Savanah State University, Savannah, GA
Nabendu Pal, PhD , Mathematics, University of Louisiana at Lafayette, Lafayette , LA
Jessie Castille, BS , Mathematics, University of Louisiana at Lafayetet, Lafayette, LA
In this study, we investigate various estimates of a population size based on multiple observations obtained from a 'capture-mark-recapture' experiment. We evaluate the estimates in terms of standardized bias (SBias) and standardized mean squared error (SMSE). Numerical results are provided to demonstrate the applicability of our proposed methods.