Record Ranges for Samples From Asymmetrical Laplace Distributions

Springer Science and Business Media LLC - Tập 17 - Trang 206-212 - 2018
I. V. Belkov1, M. Ahsanullah2, V. B. Nevzorov1
1Department of Mathematics and Mechanics, St. Petersburg State University, St. Petersburg, Russia
2Department of Management Sciences, Rider University, Lawrenceville, United States of America

Tóm tắt

The representations of record ranges via sums of independent identically distributed exponential random variables are obtained for asymmetrical Laplace distributions. This result generalizes the corresponding relations for record values in the cases of exponential and negative exponential distributions

Tài liệu tham khảo

M. Ahsanullah, Record Statistics (Nova Science Publishers Inc., New York, NY, 1995. M. Ahsanullah and V.B. Nevzorov, Ordered Random Variables (Nova Science Publishers Inc., New York, NY, 2001. V.B. Nevzorov, Records: Mathematical Theory (American Math. Soc., Providence, Rhode Island, 2001. M. Ahsanullah and V.B. Nevzorov. Record Statistics, in International Encyclopedia of Statistical Science, part 18, (2011) pp. 1195–1202. Ahsanullah M. and Nevzorov V.B. Records via Probability Theory. (Atlantis Press, Paris, France, 2015). Ahsanullah M. (2005). Record Range of Uniform Distribution. J. of the Iranian Statistical Soc., v.4, N1, 21–34.