A Bayesian zero-failure reliability demonstration testing procedure for lognormal distribution. (Chinese. English summary) Zbl 0986.62080
Summary: Assume the life \(t\) of a product obeys the lognormal distribution, i.e., \(t\sim LN(\mu, \sigma^2)\), where \(\mu\) is the location parameter and \(\sigma\) the scale parameter. A Bayesian zero-failure reliability demonstration testing procedure is given for the following two cases:
(1) \(\mu\) is unknown, \(\sigma^2\) is known; (2) \(\mu\) and \(\sigma^2\) are unknown.
For each case we give concrete examples.
(1) \(\mu\) is unknown, \(\sigma^2\) is known; (2) \(\mu\) and \(\sigma^2\) are unknown.
For each case we give concrete examples.
MSC:
| 62N05 | Reliability and life testing |
| 62F15 | Bayesian inference |
| 62N03 | Testing in survival analysis and censored data |
