The interpretation of maximum‐likelihood estimation
作者:
David A. Sprott,
Román Viveros‐Aguilera,
期刊:
Canadian Journal of Statistics
(WILEY Available online 1984)
卷期:
Volume 12,
issue 1
页码: 27-38
ISSN:0319-5724
年代: 1984
DOI:10.2307/3314722
出版商: Wiley‐Blackwell
关键词: Ancillary statistics;Bias;conditional inference;efficiency;information;linearity;pivotal quantities;variance
数据来源: WILEY
摘要:
AbstractMaximum‐likelihood estimation is interpreted as a procedure for generating approximate pivotal quantities, that is, functionsu(X;θ) of the dataXand parameter θ that have distributions not involving θ. Further, these pivotals should be efficient in the sense of reproducing approximately the likelihood function of θ based onX, and they should be approximately linear in θ. To this end the effect of replacing θ by a parameter ϕ = ϕ(θ) is examined. The relationship of maximum‐likelihood estimation interpreted in this way to conditional inference is discussed. Examples illustrating this use of maximum‐likelihood estimation on small sam
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