Range (of variation of a sample)
From Encyclopedia of Mathematics
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.
The difference
between the largest and smallest values in the ordered sample
obtained by taking independent measurements of the same random variable . Let be the distribution function of the random variable . Then the probability distribution for the range is
References
[1] | B.L. van der Waerden, "Mathematische Statistik" , Springer (1957) |
[2] | L.N. Bol'shev, N.V. Smirnov, "Tables of mathematical statistics" , Libr. math. tables , 46 , Nauka (1983) (In Russian) (Processed by L.S. Bark and E.S. Kedrova) |
Comments
The range of variation of a sample is also called the sample range.
References
[a1] | D.B. Owen, "Handbook of statistical tables" , Addison-Wesley (1962) |
How to Cite This Entry:
Range (of variation of a sample). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Range_(of_variation_of_a_sample)&oldid=14775
Range (of variation of a sample). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Range_(of_variation_of_a_sample)&oldid=14775
This article was adapted from an original article by T.Yu. Popova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article