Using the Bayes estimator for Weibull parameters estimation taking into account left-truncated and rightcensored data

Today , when operation of commercial plants is organised, they are expected to comply constantly increasing requirements for safety, dependability and efficiency operation. The methods procedures that employed the purpose improving safety based on information components, systems equipment. In order identify objective characteristics such facilities, their behaviour in monitored. course facility monitoring, periods continuous fault-free operation, downtime, causes failures, defects malfunctions items, frequency depth preventive maintenance elements systems, as well other recorded. It should be noted today’s industrial nuclear power plants, petrochemical complexes, etc., classified highly dependable Failures equipment rare. number same-type facilities extremely small. Aim. Given above, problem arises developing reliable estimation if item basis limited statistical information. Method. paper examines a method calculating indicators obtained i.e. minimising risk function while taking into account left-truncated right-censored data Weibull distribution parameter estimation. Conclusions. By way example, authors refer evaluating complete, times, as, practice, combination quite common. form likelihood functions given. A test case examined, whereas, using minimisation, estimates parameters sample contains full, data. examined variation values accuracy depending proportion truncated censored