Confidence interval for the mean of the exponential distribution, based on grouped data

IEEE Transactions on Reliability

Volumn 45, Issue 4, 1996, Pages 671-677

  Chen, Zhenmin ^a   Mi, Jie ^a  

^a FLORIDA INTERNATIONAL UNIVERSITY   (United States)

Author keywords

Approximate confidence interval; Asymptotic normality; Chi square distribution

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; ESTIMATION; FAILURE ANALYSIS; INSPECTION; MATHEMATICAL MODELS; MONTE CARLO METHODS; SERVICE LIFE; TESTING;

APPROXIMATE CONFIDENCE INTERVAL; ASYMPTOTIC NORMALITY; CHI SQUARE DISTRIBUTION; CONFIDENCE INTERVAL; EXPONENTIAL DISTRIBUTION; MAXIMUM LIKELIHOOD ESTIMATOR;

RELIABILITY THEORY;

EID: 0030412238     PISSN: 00189529     EISSN: None     Source Type: Journal    
DOI: 10.1109/24.556592     Document Type: Article

References (12)

1. L.J. Bain, Statistical Analysis of Reliability and Life-Testing Models: Theory and Methods, 1978; Marcel Dekker.
2. Y.S. Chow, H. Teicher, Probability Theory: Independence, Interchangeability, Martingales, 1978; Spring-Verlag.
3. D.R. Cox, P.A.W. Lewis, The Statistical Analysis of Series of Events, 1966; Chapman & Hall.
4. H.A. David, Order Statistics, 1981; John Wiley & Sons.
5. S. Ehrenfeld, Some experimental design problems in attribute life testing, J. Amer. Statistical Assoc, vol 57, 1962, pp 668-679.
6. P. Fatt, B. Katz, Spontaneous subthreshold activity at motor nerve endings, J. Physiology, vol 117, 1952, pp 109-128.
7. H.L. Harter, Order Statistics and their Use in Testing and Estimation - vol 2: Estimates Based on Order Statistics from Various Populations, US Gov't Printing Office.
8. P.J. Kendell, R.L. Anderson, An estimation problem in life-testing, Technometrics, vol 13, 1971, pp 289-301.
9. G. Kulldorff, Estimation from Grouped and Partially Grouped Samples, 1961; John Wiley & Sons.
10. J.F. Lawless, Statistical Models and Methods for Lifetime Data, 1982; John Wiley & Sons.
11. W. Nelson, Optimum demonstration tests with grouped inspection data from an exponential distribution, IEEE Trans. Reliability, vol R-26, 1977 Aug, pp 226-231.
12. S. Seo, B. Yum, Estimation methods for the mean of the exponential distribution based on grouped & censored data, IEEE Trans. Reliability, vol 42, 1993 Mar, pp 87-96.