Title
Parameter Estimation Based on Grouped or Continuous Data fo Truncated Exponential Distributions

Authors
Y. Komori, H. Hirose

Source
Communications in Statistics: Theory and Method, Vol.31, No.6, pp.889-900 (2002)

Abstract
Parameter estimation based on truncated data is dealt with; the data are assumed to obey truncated exponential distributions with a variety of truncation time-a, data are obtained by truncation time b(1), a(2) data are obtained by truncation time b(2) and so on, whereas the underlying distribution is the same exponential one. The purpose of the present paper is to give existence conditions of the maximum likelihood estimators (MLEs) and to show some properties of the MLEs in two cases: 1) the grouped and truncated data are given (that is, the data each express the number of the data value falling in a corresponding subinterval), 2) the continuous and truncated data are given.

Key Words
maximum likelihood estimator, existence condition, several truncation time

Citation

 

Times Cited in Web of Science: 4

Times Cited in Google Scholar: 5

Inspec: 1

Mathematical Review: 1 (Reviewer: Graham J. G. Upton)

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Cited in Books:

WoS: EUROPEAN JOURNAL OF OPERATIONAL RESEARCH 巻: 223 号: 3 ページ: 722-731 DOI: 10.1016/j.ejor.2012.07.011 発行: DEC 16 2012; 2012 FIFTH INTERNATIONAL SYMPOSIUM ON PARALLEL ARCHITECTURES, ALGORITHMS AND PROGRAMMING (PAAP) ページ: 100-105; JOURNAL OF APPLIED STATISTICS 巻: 38 号: 5 ページ: 977-986 DOI: 10.1080/02664761003692431 発行: 2011; IEEE TRANSACTIONS ON RELIABILITY 54 (1): 11-21 MAR 2005