Maximum Likelihood Estimation Based on Type Ⅱ Censored Sample Parameters of a Logistic Distribution

CHENG Wei-hu

doi:10.3969/j.issn.0254-0037.2004.01.027

Journal of Beijing University of Technology > 2004 > 30(1): 114-119. > DOI: 10.3969/j.issn.0254-0037.2004.01.027

CHENG Wei-hu. Maximum Likelihood Estimation Based on Type Ⅱ Censored Sample Parameters of a Logistic Distribution[J]. Journal of Beijing University of Technology, 2004, 30(1): 114-119. DOI: 10.3969/j.issn.0254-0037.2004.01.027

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Maximum Likelihood Estimation Based on Type Ⅱ Censored Sample Parameters of a Logistic Distribution

CHENG Wei-hu^1,2

1. College of Applied Sciences, Beijing University of Technology, Beijing 100022, China;
2. The Institute of Statistical Mathematics, Ministry of Education, Science and Culture, Tokyo 106-8569, Japan

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Received Date: April 27, 2003
Available Online: November 02, 2022

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In order to study the goodness-of-fit tests of logistic distribution, the author discusses the maximum likelihood estimation based on type Ⅱ censored sample parameters. From this reasearch the following results are obtained: The maximum likelihood estimation of the logistic distribution parameter exists uniquely, has limits and is consistent to the real parameter if the sample size is large enough and its censored ratio of two sides is a constant; The maximum likelihood estimation of the distribution parameter possesses of asymptoptic normality and asymptotic unbias under the same condition.
- Logistic distribution,
- maximum likelihood estimation,
- typeⅡcensored samples,
- consistency,
- asymptotic normality

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[2]	BALAKRISHNAN N. Handbook of the Logistic Distribution[M]. New York: Marcel ekker, Inc, 1992.
[3]	茆诗松,王静龙,濮晓龙.高等概率统计[M].北京:高等教育出版社,1998. MAO Shi-song, WANG Jing-long, PU Xiao-long. Advanced Mathematical Statistics[M]. Beijing: HigherEducation Press, 1998. (in Chinese)
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[5]	BALAKRISHNAN N, CLIFFORD C A. Order Statistics and Inference Estimation Methods[M]. New York:Academic Press, Inc, 1991.

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