Parameter estimation for a new distribution for the strength of brittle fibers: a simulation study
作者:
C.M. Black,
S.D. Durham,
V.J. Padgett,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1990)
卷期:
Volume 19,
issue 3
页码: 809-825
ISSN:0361-0918
年代: 1990
DOI:10.1080/03610919008812889
出版商: Marcel Dekker, Inc.
关键词: brittle fracture;failure distrubution;least squares;maximum likelihood;computer simulation
数据来源: Taylor
摘要:
Parameter estimates of a new distribution for the strength of brittle fibers and composite materials are considered. An algorithm for generating random numbers from the distribution is suggested. Two parameter estimation methods, one based on a simple least squares procedure and the other based on the maximum likelihood principle, are studied using Monte Carlo simulation. In most cases, the maximum likelihood estimators were found to have somewhat smaller root mean squared error and bias than the least squares estimators. However, the least squares estimates are generally good and provide useful initial values for the numerical iteration used to find the maximum likelihood estimates.
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