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Volume 30, Issue 4
Statistical Inference for the Parameter of Pareto Distribution Based on Progressively Type-I Interval Censored Sample

Zhiwen Zhao & Dehui Wang

DOI: 10.13447/j.1674-5647.2014.04.08

Commun. Math. Res., 30 (2014), pp. 345-357.

Published online: 2021-05

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  • Abstract

In this paper, the estimation of parameters based on a progressively type-I 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.

  • Keywords

EM-algorithm, maximum likelihood estimation, method of moment, Bayes estimation.

  • AMS Subject Headings

62F15, 62F10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-30-345, author = {Zhao , Zhiwen and Wang , Dehui}, title = {Statistical Inference for the Parameter of Pareto Distribution Based on Progressively Type-I Interval Censored Sample}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {4}, pages = {345--357}, abstract = {

In this paper, the estimation of parameters based on a progressively type-I 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.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.04.08}, url = {http://global-sci.org/intro/article_detail/cmr/18958.html} }
TY - JOUR T1 - Statistical Inference for the Parameter of Pareto Distribution Based on Progressively Type-I Interval Censored Sample AU - Zhao , Zhiwen AU - Wang , Dehui JO - Communications in Mathematical Research VL - 4 SP - 345 EP - 357 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/10.13447/j.1674-5647.2014.04.08 UR - https://global-sci.org/intro/article_detail/cmr/18958.html KW - EM-algorithm, maximum likelihood estimation, method of moment, Bayes estimation. AB -

In this paper, the estimation of parameters based on a progressively type-I 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.

Zhiwen Zhao & Dehui Wang. (2021). Statistical Inference for the Parameter of Pareto Distribution Based on Progressively Type-I Interval Censored Sample. Communications in Mathematical Research . 30 (4). 345-357. doi:10.13447/j.1674-5647.2014.04.08
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