【摘要】 高斯过程与随机噪声问题有关,瑞利分布与雷达工作、噪声中信号侦破有关。当噪声信号在有限维希尔伯特空间考虑时,广义瑞利分布是一研究课题。广义瑞利分布的确定和它的一些性质是由 K、S、Miller[i]等研究过。本文将给出广义瑞利分布的矩,以至矩和参数之间的关系式,并为用适线法所得广义瑞利分布参数估计的强相合性提供依据。本文第二个目的是研究用适线法所得广义瑞利分布参数估计的强相合性。更多还原

【Abstract】 Gaussian processes are of considerable interest in problems inuoluing random nolse.Also of interest is the rayleigh distribution which arises in uork on radar,the detection of signals in nolse ets.The generalizeel rayleigh process promises to be of interest in the future especially when signals in noise are thought of to exist in a finite dimensionsl.Hilbert space,the generalized rayleigh proocess are investigative problcm.The generalized process was defined and its propertise were investigated by k·s·Miller,et al The purpose of this paper is to investigate the moments and earameters of the generalized Rayleigh distribution. Second purpose of this paper is to investigate convergence of estimators for parameters of a generalized rayleigh distribution by the curve fitting methed.更多还原