Line Transect Sampling: Detection Function and Parametric Hypothesis Testing

Line transect sampling is a very helpful method for estimating the density function of population in biology. In this paper, first the line transect sampling is introduced and then parametric hypothesis testing for half normal density function against univariate exponential density function in line transect sampling was considered.
The test statistics is obtained using likelihood ratio method. Computing the null distribution of test statistic and its critical values is not easy because of the complexity of test statistic structure, therefore Monte carlo simulation was used for finding the critical values of test statistic at different significance levels. This problem of testing was investigated with numerical examples.