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Questions tagged [reliability]

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is for Reliability Engineering and Reliability Theory that describes the probability of a system to complete its expected function during an interval of time. The engineering is an area focused on optimising the reliability or the probability of successful functioning, of systems such as graphs, percolations and mechanical systems such as airplanes. Originally a tool for insurance companies but nowadays more general interdisciplinary research area.

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I would like to combine warranty information across different products. for a combined warranty metric (incidents per thousand units). Is this a case of multiplying together?
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I don’t know much Probability Theory beyond the undergraduate level. I was trying to model a simple scenario with my family. What is the probability I will develop type 1 diabetes in the following ...
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Context In my statistics lab, I encountered a tricky question regarding the hazard function of a product modeled with a normal failure law. Initially, I was tasked with creating a vector representing ...
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I have two identical pipelines and the failure rate of a leak in one of them expressed in event/year. The two pipelines are identical and not interconnected. I want to know the failure rate of the ...
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Let $X$ and $Y$ be nonnegative integer valued random variables (with same mean). It is customary to define convex order stochastic dominance for such variables (denoted $X<Y$) if $\sum_{j\geq n}\...
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What follows is an illustration of a problem that I am facing in real life. A fabric mades toy and for the delivery there are three different processes: Process A: reception of the pieces. Process B:...
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I'm an engineer and I know probability and combinatorics reasonably well, but this problem has me stumped. I have tried approaching the problem as a 7-bit binary string, then joining the ends to make ...
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I have a component with exponential failure function, i.e. the CDF is ($T$ being the time of failure): $$F(t):= P(T \leq t) = 1 - e^{-\lambda t}$$ I want to find the expected time of failure of the ...
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