✦ LIBER ✦

P-Norm bounds for moments of progressive type II censored order statistics

✍ Scribed by Mohammad Z. Raqab

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 236 KB
Volume: 64
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(03)00204-9

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we present p-norm bounds for the moments of progressive type II censored order statistics, measured in scale units generated by absolute moments of the parent distribution of a single observation. The bounds are established based on combining the Moriguti monotone approximations with the H older inequality. We also determine the distributions for which the bounds are attained. Further, the bounds are evaluated and compared with other classical ones.

📜 SIMILAR VOLUMES

Bounds for means and variances of progre

Bounds for means and variances of progressive type II censored order statistics

✍ N. Balakrishnan; E. Cramer; U. Kamps 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 155 KB

By applying di erent methods, bounds for expected values and variances of progressive type II censored order statistics are derived. Since ordinary order statistics are contained in the model, well-known bounds for their moments are obtained as particular cases. The method of the greatest convex min

An efficient computational method for mo

An efficient computational method for moments of order statistics under progressive censoring

✍ N. Balakrishnan; A. Childs; B. Chandrasekar 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 113 KB

Thomas and Wilson (Technometrics 14 (1972) 679) developed a computational method for calculating the single and product moments of order statistics from progressively censored samples by making use of the corresponding moments of the usual order statistics. The absence of an explicit representation