Recurrence relations for the marginal, joint and conditional characteristic functions of kth record values from the generalized extreme value distribution are established. These relations are utilized to obtain recurrence relations for single, product and conditional moments of kth record values. Moreover, by making use of the recurrence relations the generalized extreme value distribution is characterized.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am38-3-6, author = {M. A. W. Mahmoud and M. A. Atallah and M. Albassam}, title = {On characteristic functions of kth record values from the generalized extreme value distribution and its characterization}, journal = {Applicationes Mathematicae}, volume = {38}, year = {2011}, pages = {357-367}, zbl = {1217.62067}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-3-6} }
M. A. W. Mahmoud; M. A. Atallah; M. Albassam. On characteristic functions of kth record values from the generalized extreme value distribution and its characterization. Applicationes Mathematicae, Tome 38 (2011) pp. 357-367. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-3-6/