Reliability Analysis of Sports Training Evaluation Index Based on Random Matrix

This paper presents an in-depth study and analysis of the reliability indicators for evaluation sports training using algorithm random matrices. Random matrix theory is used to obtain degree randomness data overall correlation characteristics through statistical energy spectrum eigenstates complex systems. Using results on eigenvalues sample covariance matrix, each subspace estimated, estimated then construct weighting matrix. The problem reliable finite-time stability model under several types uncertain time-lagged bounded transfer probability Markov jump parameter compatibility also explored. four basic theoretical issues, namely, value orientation, construction basis, principles, conceptual work index system, are studied. takes a system as research object uses literature method, expert interview questionnaire survey Delphi hierarchical method main methods set task, enrich idea work, provide reference future government be able develop that in line with development times. was collect opinions experts. subjective given by experts were collected assignment weight coefficients calculated AHP method. result conditions (0.3591) has largest whole system. After that, organization management (0.1911), effectiveness (0.1376), staffing (0.103), activity (0.0828), financial fund (0.0562), publicity reporting (0.0382), material provision (0.032) order. consistent current actual situation specialization teaching, indicating evaluating high school good validity.