Een nomogram voor betrouwbaarheidsgrenzen van quantielen en overschrijdingskansen bij normaal verdeelde grootheden |
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Abstract: | A nomogram for confidence intervals and exceedance probabilities. In this paper two problems are considered regarding the probability β that an observation on a normally (μ, σ2)-distributed random variable exceeds a given value W: If μ and σ2 are unknown, the two problems are as follows: 1)if Wis given, to determine a confidence interval for β and 2)if β is given, to determine a confidence interval for W. For these two essentially equivalent problems graphs are given from which the confidence intervals can be determined. The graphs are given in terms of: and are based on an approximation for the distribution of x¯ +k s . |
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