Estimation of parameters of Misclassified Size Biased Discrete Lindley Distribution
Autor: | B. S. Trivedi, M. N. Patel |
---|---|
Rok vydání: | 2017 |
Předmět: |
Statistics and Probability
Estimation Mean squared error 02 engineering and technology 01 natural sciences Moment (mathematics) 010104 statistics & probability Bayes' theorem Lindley distribution Sample size determination Modeling and Simulation Statistics 0202 electrical engineering electronic engineering information engineering Statistics::Methodology Probability distribution 020201 artificial intelligence & image processing 0101 mathematics Factorial moment Mathematics |
Zdroj: | Communications in Statistics - Simulation and Computation. 46:5541-5552 |
ISSN: | 1532-4141 0361-0918 |
DOI: | 10.1080/03610918.2016.1165843 |
Popis: | 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. |
Databáze: | OpenAIRE |
Externí odkaz: |