Nearest neighbor vector analysis of sdss dr5 galaxy distribution

We present the Nearest Neighbor Distance (NND) analysis of SDSS DR5 galaxies. We give NND results for observed, mock and random sample, and discuss the differences. We find that the observed sample gives us a significantly stronger aggregation characteristic than the random samples. Moreover, we investigate the direction of NND and find that the direction has close relation with the size of the NND for the observed sample.Comment: Natural Science, Vol.5, No.1 in January 201

Strong convergence for weighted sums of ρ*-mixing random variables

The authors discuss the strong convergence for weighted sums of sequences of ρ*-mixing random variables. The obtained results extend and improve the corresponding theorem of Bai and Cheng [Bai, Z. D., Cheng, P. E., 2000. Marcinkiewicz strong laws for linear statistics. Statist. Probab. Lett., 46, 105-112]. The method used in this article differs from that of Bai and Cheng (2000)