Estimation of parameters of the Gompertz distribution using the least squares method

Applied Mathematics and Computation

Volumn 158, Issue 1, 2004, Pages 133-147

  Wu, Jong Wuu ^a   Hung, Wen Liang ^b   Tsai, Chih Hui ^a  

^a TAMKANG UNIVERSITY   (Taiwan)

^b NATIONAL TSING HUA UNIVERSITY   (Taiwan)

Author keywords

First failure censored; Gompertz distribution; Least squares estimate; Maximum likelihood estimate; Series system

Indexed keywords

COMPUTER SIMULATION; DATA ACQUISITION; LEAST SQUARES APPROXIMATIONS; PROBABILITY;

FIRST FAILURE-CENSORED; GOMPERTZ DISTRIBUTION; LEAST SQUARE ESTIMATE; MAXIMUM LIKELIHOOD ESTIMATE; SERIES SYSTEM;

PARAMETER ESTIMATION;

EID: 4544220322     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.08.086     Document Type: Article

References (17)

1. Balasooriya U. Failure-censored reliability sampling plans for the exponential distribution. Journal of Statistical Computation and Simulation. 52:1995;337-349.
2. Barnett V. Probability plotting methods and order statistics. Applied Statistics. 24:1975;95-108.
3. Chen Z. Parameter estimation of the Gompertz population. Biometrical Journal. 39:1997;117-124.
4. D'Agostino R.B., Stephens M.A. Goodness-of-fit Techniques. 1986;Marcel Dekker, New York.
5. Faucher B., Tyson W.R. On the determination of Weibull parameters. Journal of Materials Science Letters. 7:1988;1199-1203.
6. Franses P.H. Fitting a Gompertz curve. Journal of the Operational Research Society. 45:1994;109-113.
7. Garg M.L., Rao B.R., Redmond C.K. Maximum likelihood estimation of the parameters of the Gompertz survival function. Journal of the Royal Statistical Society C. 19:1970;152-159.
8. Gompertz B. On the nature of the function expressive of the law of human mortality and on the new mode of determining the value of life contingencies. Philosophical Transactions of Royal Society A. 115:1825;513-580.
9. Gordon N.H. Maximum likelihood estimation for mixtures of two Gompertz distributions when censoring occurs. Communications in Statistics B: Simulation and Computation. 19:1990;733-747.
10. Kapur K.C., Lamberson L.R. Reliability in Engineering Design. 1977;Wiley, New York.
11. Langlois R. Estimation of Weibull parameters. Journal of Materials Science Letters. 10:1991;1049-1051.
12. Lawless J.F. Statistical Models and Methods for Lifetime Data. 1982;Wiley, New York.
13. Makany R. A theoretical basis of Gompertz's curve. Biometrical Journal. 33:1991;121-128.
14. Rao B.R., Damaraju C.V. New better than used and other concepts for a class of life distribution. Biometrical Journal. 34:1992;919-935.
15. Read C.B. Gompertz Distribution, Encyclopedia of Statistical Sciences. 1983;Wiley, New York.
16. Ross S.M. Introduction to Probability and Statistics for Engineers and Scientists. 1987;Wiley, New York.
17. Wu J.W., Lee W.C. Characterization of the mixtures of Gompertz distributions by conditional expectation of order statistics. Biometrical Journal. 41:1999;371-381.