For the life data X in a life test, the Bayesian stopping rule and decision rule for the problem of testing fuzzy statistical hypotheses is given in this paper.

Combined with the characteristic of the advancing front s average energy when the curve evolving,the stop criterion of Fast Marching method was redefined.

Based on the optimal decoding algorithm and basic principle of iterative decoding for turbo code, the stop criterion for the iterative decoding is deduced under the condition of cross entropy minimization and iteration convergence.

Compared to other classical stopping criterions,the new method can reduce average number of iterations and accelerate turbo decoding under the same bit-error-ratio (BER) performance,and it can be applie.

In addition, according to the statistical speciality of the branch decoder output information,using the mean absolute value of extrinsic information as the stopping criterion in iteration can reduce decoding calculation delay,for the average iteration number is lessened availably.

In this paper finite-dimensional approximation of Landweber iteration is studied and a stopping rule based on modifying the discrepancy principle is proposed to choose the termination index of iteration.

In order to decrease the positive feedback of the Serially Concatenated Continuous Phase Modulation(SCCPM),a new stopping algorithm for iterative decoding based on the average extrinsic information exchange is proposed.