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The cut-off point based on underlying distribution and cost function
Authors:Sang Eun Lee
Affiliation:Department of Applied Statistics, Kyonggi University, Suwon, Republic of Korea
Abstract:Cut-off sampling has been widely used for business survey which has the right-skewed population with a long tail. Several methods are suggested to obtain the optimal cut-off point. The LH algorithm suggested by Lavallee and Hidiroglou [6] is commonly used to get the optimum boundaries by minimizing the total sample size with a given precision. In this paper, we suggest a new cut-off point determination method which minimizes a cost function. And that leads to reducing the size of take-all stratum. Also we investigate an optimal cut-off point using a typical parametric estimation method under the assumptions of underlying distributions. Small Monte-Carlo simulation studies are performed in order to compare the new cut-off point method to the LH algorithm. The Korea Transportation Origin – Destination data are used for real data analysis.
Keywords:truncated log-normal distribution  truncated gamma distribution  take-all stratum  take-some stratum  LH algorithm
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