论文信息 - Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics

Estimation of the Parameters of Burr Type III Distribution Based on Dual Generalized Order Statistics

The estimation of the parameters of Burr type III distribution based on dual generalized order statistics is considered by using the maximum likelihood (ML) approach as well as the Bayesian approach. The exact expression of the expected Fisher information matrix of the parameters in the distribution is obtained. Also, an approximation based on Lindley is used to obtain the Bayes estimator. To compare the maximum likelihood estimator and the Bayes estimator of the parameters, Monte Carlo simulation study is performed.

Chansoo Kim | Woosuk Kim | Chansoo Kim | Woosuk Kim

[1] N. A. Mokhlis,et al. Reliability of a Stress-Strength Model with Burr Type III Distributions , 2005 .

[2] M. Ahsanullah. A Characterization of the Uniform Distribution by Dual Generalized Order Statistics , 2004 .

[3] Z. F. Jaheen. Estimation Based on Generalized Order Statistics from the Burr Model , 2005 .

[4] N. L. Johnson,et al. Continuous Univariate Distributions. , 1995 .

[5] I. W. Burr. Cumulative Frequency Functions , 1942 .

[6] D. Lindley,et al. Approximate Bayesian methods , 1980 .

[7] Paul W. Mielke,et al. Another Family of Distributions for Describing and Analyzing Precipitation Data , 1973 .

[8] M. A. Mahmoud,et al. On generalized order statistics from linear exponential distribution and its characterization , 2009 .

[9] Asymptotic theory of extreme dual generalized order statistics , 2009 .

[10] A. Abd-Elfattah,et al. Bayesian Estimation for Burr Distribution Type III Based on Trimmed Samples , 2012 .

[11] Udo Kamps,et al. A concept of generalized order statistics , 1995 .

[12] Udo Kamps,et al. Dual generalized order statistics , 2003 .

[13] Irving W. Burr,et al. On A General System of Distributions I. Its Curve-Shape Characteristics II. The Sample Median , 1968 .

[14] Jeffrey H. Gove,et al. Rotated sigmoid structures in managed uneven-aged northern hardwood stands: a look at the Burr Type III distribution , 2008 .