Range (of variation of a sample)
From Encyclopedia of Mathematics
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