Small sample properties of the maximum likelihood estimators of the parameters μ and σ from a grouped sample of a normal population
作者:
Martin Schader,
Friedrich Schmid,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1988)
卷期:
Volume 17,
issue 1
页码: 229-239
ISSN:0361-0918
年代: 1988
DOI:10.1080/03610918808812658
出版商: Marcel Dekker, Inc.
关键词: Monte Carlo Simulation;Scoring Algorithm;Newton-Raphson Algorithm;Maximum Likelihood Estimation;Grouped Samples;Small Sample Properties;Variance Estimation
数据来源: Taylor
摘要:
Small sample bias and variance of the ML estimators of the parameters μ, and σ of grouped observations from a normal distribution are investigated using Monte Carlo simulation. The usefulness of the estimates of the variance of ML estimators which can be taken from the last iteration of the Scoring and Newton-Raphson algorithm is shown. In addition the small sample levels of some tests on μ and σ which are based on the asymptotic normality of the ML estimators are determined by Monte Carlo simulation
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