Abstract: By using the central limit theorem and the inequalities of the tail probability for the length of the longest increasing subsequence and properties of the TracyWisdom distribution, the author gave a general result of precise asymptotics in complete moment convergence for the length of the longest increasing subsequence for more general boundary functions and quasiweight functions.

Key words: longest increasing subsequence, TracyWisdom distribution, complete moment convergence, [JP] precise asymptotics, general result