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

fYear

1998

fDate

1998

Firstpage

43

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Signal Processing Proceedings, 1998. ICSP '98. 1998 Fourth International Conference on

Conference_Location

Beijing

Print_ISBN

0-7803-4325-5

Type

conf

DOI

10.1109/ICOSP.1998.770146

Filename

770146