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Expansions on extremes from logarithmic general error distribution under power normalization

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Abstract

In this short note, under power normalization we establish the higher-order expansions of probability density function and cumulative distribution function of maximum from logarithmic general error distribution.

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Acknowledgments

We would like to appreciate two referees for reading the paper and making helpful comments which greatly improved the paper. This work was supported by the National Natural Science Foundation of China (11171275), the Natural Science Foundation Project of CQ (cstc2012jjA00029), the Fundamental Research Funds for the Central Universities (XDJK2013C021, XDJK2014D020) and the Doctoral Grant of Southwest University (SWU113012).

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Correspondence to Tingting Li.

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Yang, G., Li, T. Expansions on extremes from logarithmic general error distribution under power normalization. Stat Papers 57, 781–793 (2016). https://doi.org/10.1007/s00362-015-0679-x

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  • DOI: https://doi.org/10.1007/s00362-015-0679-x

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