Simplified plotting of statistical observations

TitleSimplified plotting of statistical observations
Publication TypeConference Proceedings
Year of Conference1945
AuthorsGumbel, E. L.
Conference Name13th Annual Western Interstate Snow Survey Conference
Series TitleProceedings of the 13th Annual Western Interstate Snow Survey Conference
Date PublishedFebruary 1945
PublisherAmerican Geophysical Union, Transactions, Part I:
Conference LocationSacramento, California
KeywordsStatistical analysis sample size

A procedure is presented to show that the MEAN number depends, in general, upon the nature of the variate. In order to analyze this postulate consideration was given to the largest observation in a sample of size and ask: What is the mean number of observations such that this value or larger one, happens once again? This question is important for statistical variates as earthquake magnitudes, precipitation, floods, temperatures, and pressures, where the largest value involves specific dangers. Similar problems arise in quality control and in gunnery. However, for a wide class of statistical distributions, it converges toward the sample size. The general solution given in the first section will be applied, in the second section, to some interesting distributions, in the last section it will by used to simplify the plotting procedure advocated in a previous article. (See No. 6 of references)