正态AR(1)模型参数极大似然估计的精确解

罗乔林

系统科学与数学 ›› 1996, Vol. 16 ›› Issue (4) : 344-351.

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PDF(437 KB)
系统科学与数学 ›› 1996, Vol. 16 ›› Issue (4) : 344-351. DOI: 10.12341/jssms09539
论文

正态AR(1)模型参数极大似然估计的精确解

    罗乔林
作者信息 +

EXACT SOLUTION OF MAXIMUM LIKELIHOOD ESTIMATION FOR NORMAL AR(1) MODEL

    Luo Qiaolin
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文章历史 +

摘要

本文对正态AR(1)模型,当R0已知,且时,证明了极大似然估计存在,但不唯一,这与R0,R1两个参数整体求极大似然估计的结果有本质上的不同,同时还研究了极大似然估计()的数学特性与解析表达式.

Abstract

In this paper, for normal, AR(1) model, when Ro xixi+1=0, and , it is proved that the maximum likelihood estimation exists but is not uqique. This result is different from the global solution of maximum likelihood estimation for R1 and R2. The analytical expression and the mathematical properties of the maximum likelihood estimation R1 are studied as well.

关键词

时间序列 / 正态AR(1)模型 / 极大似然估

Key words

AR(1) model / time series / maximum likelihood estimation.

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罗乔林. 正态AR(1)模型参数极大似然估计的精确解. 系统科学与数学, 1996, 16(4): 344-351. https://doi.org/10.12341/jssms09539
Luo Qiaolin. EXACT SOLUTION OF MAXIMUM LIKELIHOOD ESTIMATION FOR NORMAL AR(1) MODEL. Journal of Systems Science and Mathematical Sciences, 1996, 16(4): 344-351 https://doi.org/10.12341/jssms09539
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