Creative industry output is influenced by lots of surroundings factors Even the output appears a partial large distortion in some years. Through literature study, First through the gray model prediction output, then increased regularity by residual correction model(two residual accumulation), Finally, improving the forecast accuracy meet to requirements using Improved Markov chain based on residuals error correction of the gray mode, research on validation algorithms effectiveness data 0f the creative industry output of Beijing for 2005—2014. The advantage of this algorithm is that s making up the small data of gray mode and randomness large, correcting distortion and improving goodness of fit.