基于数理统计的《红楼梦》作者分析

An Analysis of the Author of a Dream of Red Mansions Based on Mathematical Statistics

《红楼梦》的作者一直备受争议,红学的大部分研究者认为《红楼梦》前80章回由曹雪芹撰写,后40章回由高鹗撰写。为验证《红楼梦》是分由两人所作,将《红楼梦》按章回均分成前、中、后三部分,从遣词、造句两个角度进行分析。首先通过对“高频词”聚类分析,并利用组间关联方法在三个部分中寻找联系,进而可对前、中、后三部分进行聚类分析,可初步得出,前两部分的关联度更高;然后,利用句子的整散程度以及问句的不同表达形式进行划分,通过灰色预测模型将前80回作为样本预测后40回。本文运用数理统计方法分别对该书前80回和后40回进行分析,通过前后的显著差异论证前80章回为曹雪芹撰写,后40章回由其他人撰写。

The author of a dream of red mansions has always been controversial.Most researchers of red mansions believe that the first 80 chapters of the dream of red mansions are written by Cao Xueqin and the last 40 chapters by Gao E.In order to verify that a dream of red mansions was made by two people,a dream of red mansions was divided into three parts:first,middle and last according to the chapter.First of all,through the clustering analysis of"high-frequency words"and the use of inter-group correlation method to find connections in the three parts,and then the clustering analysis of the first,middle and last three parts can be preliminarily concluded that the first two parts have a higher correlation degree.Then,the sentences are divided by the degree of integral dispersion and the different expressions of the questions.The first 80 answers are used as the samples to predict the next 40.This paper analyzes the first 80 chapters of the book and the last 40 chapters respectively by using mathematical statistical methods.The first 80 chapters of the book are written by Cao Xueqin and the second 40 chapters are written by others through significant differences.