The expected values of the distribution of the sample range of order statistics from the geometric distribution are presented. For n up to 10, algebraic expressions for the expected values are obtained. Using the algebraic expressions, expected values based on the p and n values can be easily computed.
Calik, Sinan; Colak, Cemil; and Turan, Ayse
"On The Expected Values of Distribution of the Sample Range of Order Statistics from the Geometric Distribution,"
Journal of Modern Applied Statistical Methods: Vol. 8
, Article 16.
Available at: http://digitalcommons.wayne.edu/jmasm/vol8/iss1/16