A. David has kindly pointed out that an expression for the joint probability distribution iunction of order statistics from overlapping samples, similar to equation (3) in our paper, had been previously given in the reference cited below. This expression could also have been used in deriving the res
Spectral properties of moving L-estimates of independent data
โ Scribed by A.C. Bovik; A. Restrepo
- Book ID
- 103090471
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 706 KB
- Volume
- 324
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
โฆ Synopsis
A derivation of the joint probability distribution and mass junctions of order statistics coming ,from overlapping samples is presented. The general formulation allows for samples of any size overlapping (coinciding) in any number of observed values ranging from zero to the number of observations in the smaller sample.
These expressions are used to compute the autocovariance function of a moving L-estimate (linear combination of order statistics) of a sequence of independent, identically distributed second-order random variables, under a variety oj assumptions on the parent distribution. The associated variance spectral density is also computed for several jilters of interest,
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