Difference between revisions of "Certainty, reliability"
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A priori conviction of the realization of some event, to the exclusion of any doubt. Certainty is a characterization of the realizability of some event, and is labelled with the highest degree of probability. In probability theory the concept of certainty is connected with certain events (cf. [[Certain event|Certain event]]) and with events occurring with probability one. In practice, one speaks of certainty even when the probability of some event is sufficiently close to one. | A priori conviction of the realization of some event, to the exclusion of any doubt. Certainty is a characterization of the realizability of some event, and is labelled with the highest degree of probability. In probability theory the concept of certainty is connected with certain events (cf. [[Certain event|Certain event]]) and with events occurring with probability one. In practice, one speaks of certainty even when the probability of some event is sufficiently close to one. | ||
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| − | [[Reliability theory|Reliability theory]] is the theory studying the probability of correct functioning of a manufactured system. The reliability of such a system is its probability of functioning correctly (and, hence, the reliability is | + | [[Reliability theory|Reliability theory]] is the theory studying the probability of correct functioning of a manufactured system. The reliability of such a system is its probability of functioning correctly (and, hence, the reliability is $\leq1$, in general). The reliability function is the same probability as a function of time and/or other parameters involved in the system. There is, e.g., the reliability function of a communication channel, cf. [[Erroneous decoding, probability of|Erroneous decoding, probability of]]. |
Latest revision as of 16:48, 16 August 2014
A priori conviction of the realization of some event, to the exclusion of any doubt. Certainty is a characterization of the realizability of some event, and is labelled with the highest degree of probability. In probability theory the concept of certainty is connected with certain events (cf. Certain event) and with events occurring with probability one. In practice, one speaks of certainty even when the probability of some event is sufficiently close to one.
Comments
Reliability theory is the theory studying the probability of correct functioning of a manufactured system. The reliability of such a system is its probability of functioning correctly (and, hence, the reliability is $\leq1$, in general). The reliability function is the same probability as a function of time and/or other parameters involved in the system. There is, e.g., the reliability function of a communication channel, cf. Erroneous decoding, probability of.
Certainty, reliability. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Certainty,_reliability&oldid=32969