期刊文献+

Statistical Inference for the Parameter of Pareto Distribution Based on Progressively Type-I Interval Censored Sample

Statistical Inference for the Parameter of Pareto Distribution Based on Progressively Type-I Interval Censored Sample
下载PDF
导出
摘要 In this paper, the estimation of parameters based on a progressively typeI interval censored sample from a Pareto distribution is studied. Different methods of estimation are discussed, which include mid-point approximation estimator, the maximum likelihood estimator and moment estimator. The estimation procedures are discussed in details and compared via Monte Carlo simulations in terms of their biases. In this paper, the estimation of parameters based on a progressively typeI interval censored sample from a Pareto distribution is studied. Different methods of estimation are discussed, which include mid-point approximation estimator, the maximum likelihood estimator and moment estimator. The estimation procedures are discussed in details and compared via Monte Carlo simulations in terms of their biases.
出处 《Communications in Mathematical Research》 CSCD 2014年第4期345-357,共13页 数学研究通讯(英文版)
基金 The NSF (11271155,11001105,11071126,10926156 and 11071269) of China the Specialized Research Fund (20110061110003 and 20090061120037) for the Doctoral Program of Higher Education the General Humanities and Social Science Research Projects (11YJAZH125) Sponsored by Ministry of Education the Science and Technology Development Program (201201082) of Jilin Province
关键词 EM-ALGORITHM maximum likelihood estimation method of moment Bayes estimation EM-algorithm maximum likelihood estimation method of moment Bayes estimation
  • 相关文献

参考文献1

二级参考文献28

  • 1M. Z. Raqab. Inferences for generalized exponential distribu- tion based on record statistics. Journal of Statistical Planning and Inference, 2002, 104(2): 339-350.
  • 2A. Baldizi. Likelihood and Bayesian estimation of Pr(X< Y) using lower record values from the generalized exponential distribution. Computational Statistics & Data Analysis, 2008, 52(7): 3468-3473.
  • 3G. Zheng. On the Fisher information matrix in type-Ⅱ con- sored data from the exponentiated exponential family. Biomet- rical Journal, 2002, 44(3): 353-357.
  • 4M. T. Madi, M. Z. Raqab. Bayesian prediction of rainfall records using the generalized exponential distribution. Envi- ronmetrics, 2007, 18(2): 541-549.
  • 5D. G. Chen, Y. L. Lit. Parameter estimations for general- ized exponential distribution under progressive type-Ⅰ interval censoring. Computational Statistics & Data Analysis, 2010. 54(6): 1581-1591.
  • 6Z. E Jaheen. Empirical Bayes inference for generalized ex- ponential distribution based on records. Communications in Statistics Theory and Methods, 2004, 33(8): 1851-1861.
  • 7A. M. Sarhan. Analysis of incomplete, censored data in com- peting risks models with generalized exponential distributions. IEEE Trans. on Reliability, 2007, 56 (1): 132-138.
  • 8C. S. Kim, S. G. Song. Bayesianestimation of the parameters of the generalized exponential distribution from doubly cen- sored samples. Statistical Paper, 2010, 51(3): 583-597.
  • 9N. Balakrishnan, R. Aggarwala. Progressive censoring." the- ory, methods and applications. Boston: Birkhauser Publishers, 2000.
  • 10H. K. Yuen, S. K. Tse. Parameters estimation for Weibull dis- tributed lifetimes under progressive censoring with random re- movals. Journal of Statistical Computation and Simulation, 1996, 55(1): 57-71.

共引文献10

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部