Abstract:
We find the conditions under which the interval estimation of quasi-convex functions
of many unknown parameters with the confidence level more than the given value $\gamma$ may
be fulfilled by means of the direct substitution of interval estimates with the same confidence
level $\gamma$ into the estimated function. The results are applied to the interval estimation
of the function of unknown parameters of normal distribution and to the interval estimation
of the reliability of complex system by the results of reliability testing of its components.
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