Recurrence Relations Among Moments of Order Statistics from Two Related Outlier Models
✍ Scribed by Dr. N. Balakrishnan
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 258 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0323-3847
No coin nor oath required. For personal study only.
✦ Synopsis
It ia shown that the momenta of order statistics in samples drawn from a continuous population with pdf f(z) symmetric about zero comprising a single outlier with pd/ g(z) symmetric about zero can be e x p d in terms of the momenta of order statistics in samples drawn from the p p nletion obtained by folding the pdf /(r) at zero and the moments of order statistics in samplea drawn from the population obtained by folding the pdf /(z) at zero comprising a single outlier with pf/ obtained by folding g(z) a t zero. The cumulative round off error involved in numerical evaluation of the momenta of order statistics from the symmetric-outlier model, using a table of the momenta of order statistics from the folded population and the moments of order statistics from the foldedoutlier model, is not serious. Key wmd8: ;Order statistics ; Outlier ; Single moments ; Product moments ; Recurrence relations ; Symmetric distribution ; Folded distribution ; Double exponential distribution ; Exponential distribution ; Cumulative rounding error.