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Een nomogram voor betrouwbaarheidsgrenzen van quantielen en overschrijdingskansen bij normaal verdeelde grootheden
Author(s) -
Levert C.
Publication year - 1959
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1959.tb01007.x
Subject(s) - mathematics , confidence interval , nomogram , statistics , random variable , coverage probability , combinatorics , medicine
Summary 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, σ 2 )‐distributed random variable exceeds a given value W: If μ and σ 2 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 .