Mathematical Study On Competitiveness Cultural Industry

With the rapid development of economy, the way of economic growth has changed. As apart of cultural industry, has imperceptibly plays a more and more important role. At present ,although some experts and scholars is studied on cultural industry, but regardless of the widthor deptht of he study, it is in primary stage. Therefore, the study of cultural industrycompetitiveness has become more and more important.This paper starts from the basic concept of culture industry, discusses the culturalindustry basic connotation, characteristics, and the domestic cultural industry competitivenessresearch results , in order to provide theoretical support for studing the competitiveness ofHunan cultural industry. Secondly, according to the principle and the method of theconstruction of cultural industry evaluation index system, combining the actual situation ofHunan Province, established the evaluation index system of the culture industrycompetitiveness of Hunan province’s cities . Finally, according to the feature of the principalcomponent analysis, the initialize method is introduced into the model of principal componentanalysis, in order to constructing the improved principal component analysis model, sort andanalysis about the culture industry of the Hunan Province 14 city of using SPSS software, andthe results are compared and analysised with the results of the traditional model of principalcomponent analysis and factor analysis model, to verify the feasibility of the model of theimproved principal component analysis, and then combined with the clustering analysis, thecultural industry competitiveness of each city of Hunan province are classified.Through to the empirical research of the Hunan province each city culture industrycompetitiveness, analysis and obtain the various factors of affecting and restricting thecultural industry development of the city of Hunan, then put forward several countermeasuresfor promoting the culture industry competitiveness of Hunan province’s cities, believe that tothe development of cultural industry competitiveness in Hunan, it has a certain theoreticalvalue and practical significance.