Estimation of Shift and Center of Symmetry Based on Kolmogorov-Smirnov Statistics
Open Access
- 1 July 1975
- journal article
- Published by Institute of Mathematical Statistics in The Annals of Statistics
- Vol. 3 (4) , 862-873
- https://doi.org/10.1214/aos/1176343187
Abstract
A point estimator and a set of confidence intervals based on the Kolmogorov-Smirnov statistic are proposed for the shift parameter in the two-sample problem. Asymptotic distibution of the etimator as well as asymptotic bounds for the lengths of the intervals are derived. The two-sample results are then adapted to the one-sample problem to define an estimator and a set of confidence intervals for the center of a symmetric population.Keywords
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