Title
Maximum Likelihood Estimation in the Three-parameter Log-normal Distribution Using the Continuation Method

Authors
H. Hirose

Source
Computational Statistics & Data Analysis, Vol.24, No.2, pp.139-152 (1997.4)

Abstract
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.

Key Words
continuation method, maximum likelihood estimation, extended log-normal distribution, positively skewed log-normal distribution, negatively skewed log-normal distribution, 3-PARAMETER LOGNORMAL-DISTRIBUTION, WEIBULL, MODELS

Citation

 

Times Cited in Web of Science: 7

Times Cited in Scopus: 3

Times Cited in Google Scholar: 13

Mathematical Review: 1

Cited in Books:

Inspec: 1

WoS: JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION 巻: 83 号: 9 ページ: 1629-1647 DOI: 10.1080/00949655.2012.667410 発行: SEP 1 2013; JOURNAL OF STATISTICAL PLANNING AND INFERENCE 巻: 142 号: 7 ページ: 2071-2086 DOI: 10.1016/j.jspi.2012.01.019 発行: JUL 2012; COMPUTATIONAL STATISTICS & DATA ANALYSIS 巻: 52 号: 12 ページ: 5055-5065 DOI: 10.1016/j.csda.2008.04.033 発行: AUG 15 2008; MATHEMATICS AND COMPUTERS IN SIMULATION 74 (6): 443-453 APR 30 2007; JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION 74 (1): 63-74 JAN 2004; IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION 9 (4): 524-536 AUG 2002; MATHEMATICS AND COMPUTERS IN SIMULATION 54 (13): 81-97 NOV 30 2000