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Kernel-exponential model for line transect density estimation.

Author(s)
Omar M. Eidous Department of Statistics, Faculty of Science, Yarmouk University, Irbid, Jordan
Abedel-Qader S. Al-Masri Department of Statistics, Faculty of Science, Yarmouk University, Irbid, Jordan
Abstract
This paper develops a semi-parametric model for estimating ƒ(0), the probability density function at perpendicular distance zero from data obtained by the line transect method. A nonparametric kernel method produces asymptotic unbiased estimator for ƒ(0) provided that the detection model has a shoulder at distance zero, that is, = 0. In this paper we investigate a semi-parametric method for combining the negative exponential model-which does not have a shoulder at the origin-and the kernel model to fit the line transect data. Under this model a new estimator for ƒ(0) which is based on testing the shoulder condition to estimate the weight parameter, m between the combined models is developed. The properties of the new esimtator is addition to other estimators are studied for a wide variety of underlying models by using simulation techniques. The results demonstrate the superiority of the new estimator in most cases considered.
Publication Details
Page(s) 51-61
DOI DOI not available
Published Journal: Pakistan Journal of Statistics, Volume: 22, Issue: 1, Year: 2006

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