Title :
Strong laws of large numbers for two-dimensional processes
Author :
Li, Hongwei ; Cheng, Qiansheng ; Yuan, Baozong
Author_Institution :
Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China
Abstract :
Under certain mixing conditions expressed in terms of absolutely joint cumulant summability, we establish two kinds of strong laws of large numbers for general two-dimensional (2-D) processes and give their convergence rates. Using these basic results, we derive the convergence rate of higher-order moment and cumulant estimators for 2-D stationary processes, and discuss the parameter estimation for 2-D harmonics in multiplicative and additive noise
Keywords :
convergence; harmonic analysis; higher order statistics; noise; parameter estimation; signal processing; 2-D harmonics; 2-D stationary processes; absolutely joint cumulant summability; additive noise; convergence rates; cumulant estimators; general 2-D processes; higher-order moment estimators; mixing conditions; multiplicative noise; parameter estimation; statistical signal processing; strong laws of large numbers; two-dimensional processes; Additive noise; Convergence; Fourier transforms; Gaussian processes; Higher order statistics; Information science; Multidimensional signal processing; Parameter estimation; Statistical analysis; Two dimensional displays;
Conference_Titel :
Signal Processing Proceedings, 1998. ICSP '98. 1998 Fourth International Conference on
Conference_Location :
Beijing
Print_ISBN :
0-7803-4325-5
DOI :
10.1109/ICOSP.1998.770146
