Estimation of parameters of Misclassified Size Biased Discrete Lindley Distribution

ABSTRACT

In this paper, a two-parameter discrete distribution named Misclassified Size Biased Discrete Lindley distribution is defined under the situation of misclassification where some of the observations corresponding to x = c + 1 are reported as x = c with misclassification errorα. Different estimation methods like maximum likelihood estimation, moment estimation, and Bayes Estimation are considered to estimate the parameters of Misclassified Size Biased Discrete Lindley distribution. These methods are compared by using mean square error through simulation study with varying sample sizes. Further general form of factorial moment is also obtained for Misclassified Size Biased Discrete Lindley distribution. Real life data set is used to fit Misclassified Size Biased Discrete Lindley distribution.

KEYWORDS:

• Factorial moment
• Maximum likelihood
• Moment estimation
• Lindley's approximation
• Simulation study

MATHEMATICS SUBJECT CLASSIFICATION:

• 62E15
• 62F10
• 60E05

Conflicts of interest

The authors declare that there is no conflict of interests regarding the publication of this paper.