Maximum likelihood parameter estimation in the three-parameter log-normal distribution using the continuation method

被引:10
作者
Hirose, H [1 ]
机构
[1] HIROSHIMA CITY UNIV, FAC INFORMAT SCI, HIROSHIMA 73131, JAPAN
关键词
continuation method; maximum likelihood estimation; extended log-normal distribution; positively skewed log-normal distribution; negatively skewed log-normal distribution;
D O I
10.1016/S0167-9473(96)00063-1
中图分类号
TP39 [计算机的应用];
学科分类号
081203 [计算机应用技术]; 0835 [软件工程];
摘要
The main purpose of this paper is to show an extremely successful maximum likelihood parameter estimation scheme for the three-parameter log-normal distribution. The proposed algorithm, which is a combination of the continuation method and the extended log-normal distribution model, can find the existing local maximum likelihood estimates successfully without a careful selection of the starting point in the iterative process.
引用
收藏
页码:139 / 152
页数:14
相关论文
共 31 条
[1]
Allgower E., 1990, NUMERICAL CONTINUATI
[2]
K-SAMPLE MAXIMUM LIKELIHOOD RATIO TEST FOR CHANGE OF WEIBULL SHAPE PARAMETER [J].
BILIKAM, JE ;
MOORE, AH ;
PETRICK, G .
IEEE TRANSACTIONS ON RELIABILITY, 1979, 28 (01) :47-50
[3]
MAXIMUM LIKELIHOOD ESTIMATION OF PARAMETERS OF 3-PARAMETER LOG-NORMAL-DISTRIBUTION - RECONSIDERATION [J].
CALITZ, F .
AUSTRALIAN JOURNAL OF STATISTICS, 1973, 15 (03) :185-190
[4]
CHENG RCH, 1990, J ROY STAT SOC B MET, V52, P135
[5]
CHENG RCH, 1982, J R STAT SOC B, V44, P394
[6]
MODIFIED MOMENT ESTIMATION FOR THE 3-PARAMETER LOGNORMAL-DISTRIBUTION [J].
COHEN, AC ;
WHITTEN, BJ ;
DING, Y .
JOURNAL OF QUALITY TECHNOLOGY, 1985, 17 (02) :92-99
[8]
ESTIMATION IN THE 3-PARAMETER LOGNORMAL-DISTRIBUTION [J].
COHEN, AC ;
WHITTEN, BJ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1980, 75 (370) :399-404
[9]
Dennis, 1996, NUMERICAL METHODS UN
[10]
DISCRIMINATION BETWEEN LOG-NORMAL AND WEIBULL DISTRIBUTIONS [J].
DUMONCEAUX, R ;
ANTLE, CE .
TECHNOMETRICS, 1973, 15 (04) :923-926