论文信息 - Estimation of parameters of failure distributions with fuzzy data

Estimation of parameters of failure distributions with fuzzy data

In this paper a simple procedure of estimation of parameters of two widely used failure distributions (the normal and Weibull distributions) and a method of finding confidence intervals for the parameters is developed. The computational burden of estimation with fuzzy data as observed by Kruse and Meyer (1988) is easily overcome by using special properties of the estimators. It is also demonstrated that the order statistics procedure of estimation can easily be modified to tackle fuzzy data.

Krishna B. Misra | K. Misra | K. Soman | K. P. Soman

[1] K. B. Misra,et al. Moments of order statistics using the orthogonal inverse expansion method and its application in reliability , 1992 .

[2] Beichelt Frank,et al. IEEE Trans. Reliab. , 1992 .

[3] R. Plackett. The Analysis of Life Test Data , 1959 .

[4] Tsunéo Yoshioka,et al. Quelques groupes d'automorphismes analytiques de C² , 1977 .

[5] Madan M. Gupta,et al. Introduction to Fuzzy Arithmetic , 1991 .

[6] Lotfi A. Zadeh,et al. The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[7] K. Misra. Reliability Analysis and Prediction: A Methodology Oriented Treatment , 1992 .

[8] A. Gupta,et al. ESTIMATION OF THE MEAN AND STANDARD DEVIATION OF A NORMAL POPULATION FROM A CENSORED SAMPLE , 1952 .

[9] D. Rasch,et al. Sarhan, A. E., and B. G. Greenberg (Ed.): Contributions to Order Statistics. John Wiley & Sons, New York – London 1962; XXV + 482 S., $ 11,25 , 1964 .

[10] Rudolf Kruse,et al. Confidence Intervals for the Parameters of a Linguistic Random Variable , 1988 .

[11] Igor Bazovsky,et al. Reliability Theory and Practice , 1961 .

[12] D. J. Davis,et al. AN ANALYSIS OF SOME FAILURE DATA , 1952 .

[13] D. Dubois,et al. Operations on fuzzy numbers , 1978 .