Estimation methods have over the years been a problem for Statistician especially in sectors that have to do with Hidden/Hard-to-Reach population. In this paper, a regression model was derived for Elusive/Hard-to-Reach/Hidden populations. This was achieved by modelling the Multiplicity Estimator given by Birnbaum and Sirken (1965) into a regression model. The paper also gave the least-squares estimation of the unknown parameters 0 β and 1 β , and 2 σ .
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