Let script P signn be the Poisson point process with intensity 1 in [-n,n]d. We prove the law of the iterated logarithm for the total length of the nearest neighbor graph on script P signn.
|Number of pages||16|
|Journal||Journal of Theoretical Probability|
|Publication status||Published - 2004 Jan|
Bibliographical noteFunding Information:
The work of S.L. was supported by the BK21 project of the Department of Mathematics, Yonsei University, the interdisciplinary research program of KOSEF 1999-2-103-001-5 and Com2MaC in POSTECH. The work of Z.L. was supported by NSFC (10131040), SRFDP (2002335090), and KRF (D00008).
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty