宠辱不惊淡看庭前花开花谢, 去留 ...分享 http://blog.sciencenet.cn/u/zhangshibin 专业: 概率论与数理统计 研究方向: 时空数据统计分析,包括随机过程统计、时间序列分析、空间统计、统计计算、贝叶斯统计等

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NW: Inference based on adaptive grid selection

已有 3049 次阅读 2015-10-27 13:12 |个人分类:学术成果|系统分类:科研笔记

Statistics: A Journal of Theoretical and Applied Statistics

Original Articles

Inference based on adaptive grid selection of probability transforms

http://www.tandfonline.com/doi/abs/10.1080/02331888.2015.1085866?journalCode=gsta20

DOI:10.1080/02331888.2015.1085866

Shibin Zhanga* & Xuming Heb

  • Received: 21 Oct 2014

  • Accepted: 18 Aug 2015

  • Published online: 20 Oct 2015

Abstract

Probability transform-based inference, for example, characteristic function-based inference, is a good alternative to likelihood methods when the probability density function is unavailable or intractable. However, a set of grids needs to be determined to provide an effective estimator based on probability transforms. This paper is concerned with parametric inference based on adaptive selection of grids. By employing a closeness measure to evaluate the asymptotic variance of the transform-based estimator, we propose a statistical inference procedure, accompanied with adaptive grid selection. The selection algorithm aims for a small set of grids, and yet the resulting estimator can be highly efficient. Generally, the asymptotic variance is very close to that of the maximum likelihood estimator.

Keywords

http://www.tandfonline.com/doi/abs/10.1080/02331888.2015.1085866?journalCode=gsta20



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