Confidence limits determined using order statistics | Zendy

Gladwell John S. | Zendy; Lin ChengNan | Zendy

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Confidence limits determined using order statistics

Author(s) -

Gladwell John S.,

Lin ChengNan

Publication year - 1969

Publication title -

water resources research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.863

H-Index - 217

eISSN - 1944-7973

pISSN - 0043-1397

DOI - 10.1029/wr005i005p01120

Subject(s) - statistics , extrapolation , confidence interval , cdf based nonparametric confidence interval , mathematics , confidence distribution , foreknowledge , confidence region , order statistic , population , probability distribution , confidence and prediction bands , econometrics , philosophy , demography , epistemology , sociology

Based upon the known theoretic distribution of ordered data for any continuous probability distribution, a graphic procedure for setting confidence limits can be used. Such a procedure requires foreknowledge or an assumption of the population parameters. Although the procedure does not define confidence limits beyond the maximum return period of the series, a reasonable extrapolation based upon families of curves of various lengths n indicates a rapid deterioration of confidence in any extensions of the cumulative probability curve.

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