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Line transect estimators for left-truncated distributions
Abstract:
Left-truncated line transect data sets may occur when surveying with certain types of aircraft where the observer cannot look straight down. A general model of left-truncation in line transect sampling is developed and parametric estimators are derived in such cases when the underlying distribution of right-angle distances is either exponentially or half-normally distributed. Computer simulations demonstrate the validity of the derived estimators and the expected nonrobustness against alternative distributions. An aerial survey example using dolphin data is presented.
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Left truncation occurs when individuals who experienced the event of interest before a certain time are not included in the study. This is often due to a "delayed entry" into the study where only those who survive until a certain entry point are observed.

