A notable two-parameter detection model for the line transect distance sampling

Line transect sampling is a technique used to estimate the population abundance of animals, plants, birds or other objects in a given region. It is usually the most recommended method among ecologists due to its practicality, efficiency and relatively low cost. This paper contributes to the topic by proposing a new two-parameter parametric detection model designed to model line transect data. Its main properties are discussed, including a detailed analysis of the shape of the main function and the moments. Maximum likelihood estimation of the parameters and population abundance is carried out. In addition, some applications of the proposed model are investigated using two practical data sets of perpendicular distances. Based on the study of some goodness-of-fit statistics, they are compared with a set of classical and current models. The results are in favor of the new model.