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Statistica Sinica 28 (2018), 2375-2387

PETER HALL'S CONTRIBUTION
TO EMPIRICAL LIKELIHOOD
Jinyuan Chang 1, Jianjun Guo 1 and Cheng Yong Tang 2
1 Southwestern University of Finance and Economics
and 2 Temple University

Abstract: We deeply mourn the loss of Peter Hall. Peter was the premier mathematical statistician of his era. His work illuminated many aspects of statistical thought. While his body of work on bootstrap and nonparametric smoothing is widely known and appreciated, less well known is his work in many other areas. In this article, we review Peter's contribution to empirical likelihood (EL). Peter has done fundamental work on studying the coverage accuracy of confidence regions constructed with EL.

Key words and phrases: Balanced incomplete block design, Hadamard matrix, nearly balanced incomplete block design, orthogonal array.

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