0.0892980098724411328NRSNEPublished to Web1Publication2Informally Refereed (Peer-Reviewed)1Scientific Journal (JRNL)<![CDATA[Moment and maximum likelihood estimators for Weibull distributions under length- and area-biased sampling]]> 2003-1Many of the most popular sampling schemes used in forestry are probability proportional to size methods. These methods are also referred to as size biased because sampling is actually from a weighted form of the underlying population distribution. Length- and area-biased sampling are special cases of size-biased sampling where the probability weighting comes from a lineal or areal function of the random variable of interest, respectively. Often, interest is in estimating a parametric probability density of the data. In forestry, the Weibull function has been used extensively for such purposes. Estimating equations for method of moments and maximum likelihood for two- and three-parameter Weibull distributions are presented. Fitting is illustrated with an example from an area-biased angle-gauge sample of standing trees in a woodlot. Finally, some specific points concerning the form of the size-biased densities are reported.https://www.fs.fed.us/ne/newtown_square/publications/other_publishers/OCR/ne_2003gove02.pdf 781 KBhttps://www.fs.usda.gov/treesearch/pubs/697569750Environmental and Ecological Statistics. 10: 455-467.010455-467T0Gove, Jeffrey H.; 31-MAR-2008 00:00:00AYGove, Jeffrey H.001Gove, Jeffrey H.001This article was written and prepared by U.S. Government employees on official time, and is therefore in the public domain.

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