Limiting Distributions for the Minimum-Maximum Models

Ling Peng and Lei Gao
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Ling Peng: School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China
Lei Gao: School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai 200240, China

Mathematics, 2019, vol. 7, issue 8, 1-11

Abstract: We consider the extreme value problem of the minimum-maximum models for the independent and identically distributed random sequence and stationary random sequence, respectively. By invoking some probability formulas and Taylor’s expansions of the distribution functions, the limiting distributions for these two kinds of sequences are obtained. Moreover, convergence analysis is carried out for those extreme value distributions. Several numerical experiments are conducted to validate our theoretical results.

Keywords: extreme value distribution; minimum-maximum model; convergence analysis; numerical experiments (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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