Reducing Uncertainty by Imprecise Judgements on Probability Distributions: Application to System Reliability

In this paper the judgement consisting in choosing a function that is believed to dominate the true probability distribution of a continuous random variable is explored. This kind of judgement can significantly increase precision in constructed imprecise previsions of interest, which of great importance for applications. New formulae for computing system reliability are derived on the basis of the technique developed. Keywords imprecise probabilities, probability density function, reliability

• Type: Conference
• Year: 2003
• Where: ISIPTA
• Authors: Igor Kozine, V. Krymsky
• Keywords: Continuous Random Variable, ISIPTA 2003, Keywords Imprecise Probabilities, Mathematics, True Probability Distribution