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D. Van Hooser, N. Cost and H. Lund, “The History of Forest Survey Program in the United States,” In: G. Preto and B. Koch, Eds., Forest Resource Inventory and Monitoring and Remote Sensing Technology, Proceedings of the IUFRO Centennial Meeting in Berlin, 31 August-4 September 1992, Japan Society of Forest Planning Press, Tokyo University of Agriculture and Technology, Saiwaicho, Fuchu, Tokyo, Japan, 1992, pp. 19-27.

has been cited by the following article:

• TITLE: Optimizing Forest Sampling by Using Lagrange Multipliers

  AUTHORS: Kyriaki Kitikidou

  KEYWORDS: Forest Inventories; Lagrange Multipliers; Optimization, Sampling

  JOURNAL NAME: American Journal of Operations Research, Vol.2 No.1, March 14, 2012

  ABSTRACT: In two-phase sampling, or double sampling, from a population with size N we take one, relatively large, sample size n. From this relatively large sample we take a small sub-sample size m, which usually costs more per sample unit than the first one. In double sampling with regression estimators, the sample of the first phase n is used for the estimation of the average of an auxiliary variable X, which should be strongly related to the main variable Y (which is estimated from the sub-sample m). Sampling optimization can be achieved by minimizing cost C with fixed var Y, or by finding a minimum var Y for fixed C. In this paper we optimize sampling with use of Lagrange multipliers, either by minimizing variance of Y and having predetermined cost, or by minimizing cost and having predetermined variance of Y.