The present paper considers inadmissibility of the best scale-invariant estimatorδ_0(X)of scale parameters under general quadratic losses L_Q(θ,δ)=(θ-δ)′Q(θ-δ) whereQ is a positive definite matrix satisfying some conditions, obtaining simultaneously improvedestimator δ_0(X)+where C=(c,…,c)′and c is a suitable positive number.

Effects of changing scale on spatial analysis have been studied for decades in geography and ecology,but few previous studies expounded the quantitative approach about the optimization-scale.

In order to get the optimization-scale,18 indexes were calculated in 16 analysis scales.

By researching the false maximum wavelet coefficient points, this paper proposes an advanced algorithm in the basis of optimum scale and a new peak-searching method.

In the course of algorithm realization, this paper uses the corresponding relationship of the signal in time domain and frequency domain to propose a method for dynamically determining the optimal scale, which conquers the deficiency of fixed transform scale when the pitch has a fargoing change, and it induces the statistic in.