Linearity of regression for non-adjacent order statistics

@article{Dembinska1998LinearityOR,
  title={Linearity of regression for non-adjacent order statistics},
  author={Anna Dembin´ska and Jacek Wesołowski},
  journal={Metrika},
  year={1998},
  volume={48},
  pages={215-222}
}
Abstract. Let X1,X2,…,Xn be a random sample from a continuous distribution with the corresponding order statistics X1:n≤X2:n≤…≤Xn:n. All the distributions for which E(Xk+r: n|Xk:n)=aXk:n+b are identified, which solves the problem stated in Ferguson (1967). 
BETA

Similar Papers

Topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 18 CITATIONS

References

Publications referenced by this paper.
SHOWING 1-8 OF 8 REFERENCES

A characterization of distributions based on linear regression of order statistics and record

F LoÂpez-BlaÂzquez, JL Moreno-Rebollo
  • 1997
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

A characterization of distributions based on linear regression of order statistics and record values

F LoÂpez-BlaÂzquez, JL Moreno-Rebollo
  • SankhyaÅ
  • 1997
VIEW 1 EXCERPT