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
An efficient computational method for moments of order statistics under progressive censoring
โ Scribed by N. Balakrishnan; A. Childs; B. Chandrasekar
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 113 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0167-7152
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โฆ Synopsis
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 for the marginal and joint density function of order statistics under progressive censoring makes their method extremely tedious. By deriving the required marginal and joint density functions in explicit form, we obtain an alternative, highly e cient, method for computing the desired moments.
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