This paper proposes a no-reference type PSNR/SSIM estimation method applied to compressed image sequences. The proposal transforms the SSIM formula into a form without reference signals (i.e. original images), which consists of two parameters to be estimated from the bitstream. One is quantization error variance contributing to existing no-reference PSNR estimation, and the other is signal energy reduction caused by quantization which is unique to SSIM estimation. Experiments using actual images are then carried out and possible improvement methods are discussed.