Likelihood Ratio Tests for Monotone Functions

@inproceedings{Banerjee2000LikelihoodRT,
  title={Likelihood Ratio Tests for Monotone Functions},
  author={Moulinath Banerjee and J. A. Wellner},
  year={2000}
}
We study the problem of testing for equality at a xed point in the setting of nonparametric estimation of a monotone function. The likelihood ratio test for this hypothesis is derived in the particular case of interval censoring (or current status data) and its limiting distribution is obtained. The limiting distribution is that of the integral of the di erence of the squared slope processes corresponding to a canonical version of the problem involving Brownian motion + t and greatest convex… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 33 references

Gaussian white noise models: a partial review and results for monotone functions

  • J. A. Wellner
  • Technical Report ???,
  • 2001
Highly Influential
5 Excerpts

Likelihood Ratio Inference in Regular and Nonregular Problems

  • M. Banerjee
  • Ph.D. dissertation,
  • 2000
Highly Influential
6 Excerpts

Estimation of a unimodal density

  • B.L.S. Prakasa Rao
  • Sankh ya. Ser. A,
  • 1969
Highly Influential
7 Excerpts

Estimating a monotone density from censored observations

  • Y. Huang, C. H. Zhang
  • Ann. Statist. 22,
  • 1994
Highly Influential
4 Excerpts

Estimation of isotonic regression

  • H. D. Brunk
  • Nonparametric Techniques in Statistical Inference…
  • 1970
Highly Influential
9 Excerpts

Consistency of the GMLE with mixed case interval-censored data,

  • A. Schick, Q. Yu
  • Scand. J. Statist. 27,
  • 1999
Highly Influential
1 Excerpt

Cube root asymptotics

  • J. Kim, D. Pollard
  • Ann . Stat .
  • 1990
Highly Influential
2 Excerpts

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