论文信息 - Improved bounds for expectations of linear functions of order statistics

Improved bounds for expectations of linear functions of order statistics

The bounds for the expected values of order statistics and their linear functions are obtained under the assumption that the exact value of the expectation of extreme order statistic is known for two smaller sample sizes. It is shown that the existing bounds can be improved considerably by making use of this information.

N. Balakrishnan | S. Bendre

[1] P. Sen,et al. Order statistics and inference : estimation methods , 1992 .

[2] N. Balakrishnan. Improving the Hartley-David-Gumbel bound for the mean of extreme order statistics , 1990 .

[3] Narayanaswamy Balakrishnan,et al. Relations, Bounds and Approximations for Order Statistics , 1989 .

[4] Barry C. Arnold,et al. p-Norm bounds on the expectation of the maximum of a possibly dependent sample , 1985 .

[5] N. Sugiura. On the orthogonal inverse expansion with an application to the moments of order statistics , 1962 .

[6] O. Ludwig. Über Erwartungswerte und Varianzen von Ranggrößen in kleinen Stichproben , 1960 .

[7] E. J. Gumbel,et al. The Maxima of the Mean Largest Value and of the Range , 1954 .

[8] H. O. Hartley,et al. Universal Bounds for Mean Range and Extreme Observation , 1954 .

[9] S. Moriguti. Extremal properties of extreme value distributions , 1951 .