Sharp bounds for the expected value of order statistics

Statistics and Probability Letters

Volumn 33, Issue 1, 1997, Pages 105-107

  Huang, J S ^a  

^a UNIVERSITY OF GUELPH   (Canada)

Author keywords

Bounds; Expected value; Greatest convex minorant; Order statistics; Schwarz inequality

Indexed keywords

EID: 0031569673     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-7152(96)00116-2     Document Type: Article

References (3)

1. Balakrishnan, N. (1993), A simple application of binomial-negative binomial relationship in the derivation of sharp bounds for moments of order statistics based on greatest convex minorants, Statist. Probab. Lett. 18, 301-305.
2. Ludwig, O. (1973), Differenzen der Erwartungswerte von ranggrossen in kleinen stichproben, Proc. 4th Conf. on Probab. Theory, Brasov, Romania.
3. Moriguti, S. (1953), A modification of Schwarz's inequality with applications to distributions, Ann. Math. Statist. 24, 107-113.