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Statistics: A Journal of Theoretical and Applied Statistics
Original Articles
http://www.tandfonline.com/doi/abs/10.1080/02331888.2015.1085866?journalCode=gsta20
Shibin Zhanga* & Xuming Heb
Received: 21 Oct 2014
Accepted: 18 Aug 2015
Published online: 20 Oct 2015
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.
adaptive grid selection, asymptotic efficiency, characteristic function, empirical likelihood, method of moments, generalized method of moments, generating moment function
http://www.tandfonline.com/doi/abs/10.1080/02331888.2015.1085866?journalCode=gsta20
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