Parameter Estimation of the Mixed Negative Binomial and Two-Parameter Lindley Distribution: Maximum Likelihood Method
Keywords:
ภาวะน่าจะเป็นสูงสุด, การประมาณค่าพารามิเตอร, การแจกแจงทวินามลบผสมกับการแจกแจงลินดเลย์ที่มีสองพารามิเตอร์การจำาลอง, สถิติทดสอบแอนเดอร์สันดาร์ลิงสำาหรับข้อมูลไม่ต่อเนื่องAbstract
Recently, the negative binomial two-parameter Lindley distribution. In this article, the parameter
estimation of the negative binomial two-parameter Lindley distribution using the maximum likelihood estimation method will be developed. A Monte Carlo simulation is applied in order to compare the efficiency of
model parameter estimation using the the maximum likelihood estimation method based on mean square
error of estimates. The finding results of simulation study was show that the the maximum likelihood estimates seem to have high-efficiency when the sample size becomes large. In addition, the negative binomial two-parameter Lindley distribution is applied to real data sets, we found that it can be fitted to the selected data sets. Each data set is fitted with the negative binomial two-parameter Lindley distribution, Poisson, negative binomial, and negative binomial Lindley distribution using the maximum likelihood estimation method. By comparing these results based on the p-value of Anderson-Darling goodness of fit test for fit test, it shows that the negative binomial two-parameter Lindley distribution provided the best fit whencomparing to the other distributions
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