Linear combination of concomitants of order statistics with application to testing and estimation |
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Authors: | Shie-Shien Yang |
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Institution: | (1) Kansas State University, Kansas, USA |
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Abstract: | Summary Let (X
1,Y
1), (X
2,Y
2),…, (X
n,Y
n) be i.i.d. as (X, Y). TheY-variate paired with therth orderedX-variateX
rn is denoted byY
rn and terms the concomitant of therth order statistic. Statistics of the form
are considered. The asymptotic normality ofT
n is established. The asymptotic results are used to test univariate and bivariate normality, to test independence and linearity
ofX andY, and to estimate regression coefficient based on complete and censored samples. |
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Keywords: | Primary 62E20 62G30 Secondary 60F05 62E15 62G05 62G10 |
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