| 最长增加子列长度精确渐近性的一般结果 |
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| 引用本文： | 赵力. 最长增加子列长度精确渐近性的一般结果[J]. 吉林大学学报(理学版), 2002, 57(4): 844-848 |
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| 作者姓名： | 赵力 |
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| 作者单位： | 吉林师范大学 数学学院, 吉林 四平 136000 |
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| 摘 要： | 利用最长增加子列长度的中心极限定理和尾概率不等式及Tracy Wisdom分布的性质, 对相当广泛的一类边界函数和拟权函数, 给出其矩完全收敛性的精确渐近性的一般结果.
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| 关 键 词： | 最长增加子列 Tracy Wisdom分布 矩完全收敛性 精确渐近性 一般结果 |
| 收稿时间： | 2018-12-17 |
General Result of Precise Asymptotics for Length of Longest Increasing Subsequences |
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| ZHAO Li. General Result of Precise Asymptotics for Length of Longest Increasing Subsequences[J]. Journal of Jilin University: Sci Ed, 2002, 57(4): 844-848 |
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| Authors: | ZHAO Li |
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| Affiliation: | College of Mathematics, Jilin Normal University, Siping 136000, Jilin Province, China
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| Abstract: | By using the central limit theorem and the inequalitiesof the tail probability for the length of the longest increasing subsequence and properties of the Tracy Wisdom distribution, the author gave a general result ofprecise asymptotics in complete moment convergence for the length of the longest increasing subsequence for more general boundary functions and quasi weight functions. |
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| Keywords: | longest increasing subsequence Tracy Wisdom distribution complete moment convergence [JP] precise asymptotics general result
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