Comparison of the robust parameters estimation methods for the two-parameters Lomax distribution

Muhammad Shakeel, Nazia Rehmat, Muhammad Ahsan ul Haq, Nengxiang Ling
2017 Cogent Mathematics  
Accurate and precise estimation of parameters in distribution theory is of immense significance. Imprecise and biased estimation of a probability distribution can lead to invalid and erroneous results. In this study, we investigate the Lomax distribution and introduced new four robust point estimation methods such as L-moments, trimmed L-moments, probability weighted moments, and generalized probability weighted moments (GPWM). We compare the efficiency of these methods with traditional method
more » ... traditional method of moments based on performance measures such as bias, root-mean-square error and total deviation criteria using simulation study. We concluded that trimmed L-moments ascertained to be the superior method when the shape parameter is smaller (q < 3) and this assessment is equally valid for larger sample sizes, however, GPWM performs better for higher values of the shape parameter.
doi:10.1080/23311835.2017.1279397 fatcat:uslo6duz3nc43ksbm2x3fcwvn4