Estimation of Parameters of Misclassified Size Biased Borel Tanner Distribution

Abstract

Different types of statistical methods are useful in data analysis in the field of science, engineering, medical, etc. In this paper, we have considered a statistical data analysis and estimation of the data by using size biased Borel–Tanner distribution. At the time of classification and analysis, there may arise error, like an observation may be misclassified into different classes or groups. Such type of data is known as misclassified data. Also, when sample units are selected with a probability proportional to the size of the units, the resultant distribution is known as a size biased distribution or weighted distributions. In this paper, we have studied misclassified size biased Borel–Tanner distribution and estimated its parameters by applying the method of maximum likelihood, method of moment, and Bayes’ estimation method. Simulation study has been carried out for comparing the three methods of estimation.