Citation

Ahmad M, Sheikh AK. Reliab. Eng. 1984; 8(3): 131-148.

Copyright

(Copyright © 1984, Elsevier Publishing)

DOI

10.1016/0143-8174(84)90020-9

PMID

unavailable

Abstract

A Bernstein distribution has recently been developed to model the life characteristics of machine components which deteriorate according to a scheme of non-stationary linear wear processes. The Bernstein model has been successfully used in a variety of situations such as modelling of cutting tool life, monitoring the dimensions of machine parts for statistical quality control, testing the slideways and rotating parts of machine tools using accelerated wear conditions and determining tool replacement intervals in precision machining. In spite of the adequacy of this model in such important areas, no attempt has so far been made to comprehensively investigate the statistical properties and characteristics of the model. In this paper, an attempt is made to explore the statistical characteristics and properties of the Bernstein model, and its applications in some areas of engineering science are pointed out.