A comparison of scores of two protein structures with foldings

• 成果类型: Article
• 署名作者: Jiang, TF
• 署名单位: University of Minnesota System; University of Minnesota Twin Cities
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• 发表日期: 2002
• 页码: 1893-1912
• 关键词: sequences

摘要

Let {X-i; i greater than or equal to 1}, {Y-i; i > 1}, {U, U-i; i > 1} and {V, V-i; i greater than or equal to 1} be four i.i.d. sequences of random variables. Suppose U and V are uniformly distributed on [0, 1](3). For each realization of {U-j; 1 less than or equal to j less than or equal to n}, {X-i,X-p; 1 less than or equal to p less than or equal to n} is constructed as a certain permutation of {X-p; 1 less than or equal to p less than or equal to n} for any 1 less than or equal to i less than or equal to n. Also, {Y-j,Y-p; 1 less than or equal to p less than or equal to n}, 1 less than or equal to j less than or equal to n, are constructed the same way, based on {Y-j} and {V-j}. For a score function F, we show that W-n := max(1less than or equal toi,j,mless than or equal ton)Sigma(p = 1)(m) F(X-i,X-p,Y-j,Y-p) has an asymptotic extreme distribution with the same parameters as in the one-dimensional case. This model is constructed for a comparison of scores of protein structures with foldings.