참고문헌
-
Arnold, B. C. (1985).
$\rho$ -norm bounds on the expectation of the maximum of a possibly dependent sample. Journal of Multivariate Analysis, 17, 316-332 https://doi.org/10.1016/0047-259X(85)90087-9 - Balakrishnan, N. (1990). Improving the Hartley-David-Gumbel bound for the mean of extreme-order statistics. Statistics and Probability Letters, 9, 291-294 https://doi.org/10.1016/0167-7152(90)90102-D
- Gumbel, E. J. (1954). The maxima of the mean largest values and of the range. The Annals of Mathematical Statistics, 25, 76-84 https://doi.org/10.1214/aoms/1177728847
- Hartley, H. O. and David, H. A. (1954). Universal bounds for mean range and extreme observation. The Annals of Mathematical Statistics, 25, 85-99 https://doi.org/10.1214/aoms/1177728848
- Huang, J. S. (1998). Sequence of expectations of maximum-order statistics. Statistics and Probability Letters, 38, 117-123 https://doi.org/10.1016/S0167-7152(97)00161-2
- Lai, T. L. and Robbins, H. (1978). A class of dependent random variables and their maxima. Z. Wahrscheinlichkeitstheorie venv. Gebiete, 42, 89-111 https://doi.org/10.1007/BF00536046
- Moriguti, S. (1953). A modification of Schwarz's inequality with applications to distributions. The Annals of Mathematical Statistics, 24, 107-113 https://doi.org/10.1214/aoms/1177729088
- Papadatos, N. (2001). Distribution and expectation bounds on order statistics from possibly dependent variates. Statistics and Probability Letters, 54, 21-31 https://doi.org/10.1016/S0167-7152(01)00014-1