Minimax Detection of Positive Signals

被引:0
作者
Yu. I. Ingster
I. A. Suslina
机构
[1] St.Petersburg State University of Means of Communication,
[2] St.Petersburg State Institute of Fine mechanics and Optics,undefined
关键词
Signal Detection; Positive Signal; Detection Problem; Additional Possibility; Recent Author;
D O I
10.1023/A:1026186405401
中图分类号
学科分类号
摘要
The minimax signal detection problem for an admissible sets of signals forming a ball with a removed domain around its center has been considered in detail in the recent author's papers. In the present paper, we study additional possibilities arising under the assumption of positivity of the signal. Bibliography: 12 titles.
引用
收藏
页码:5570 / 5585
页数:15
相关论文
共 15 条
  • [1] Burnashev M. V.(1979)Minimax detection of an inaccurately known signal in a Gaussian noise background Teor. Veroyat n. Pri men 24 107-119
  • [2] Donoho D. L.(1995)Wavelet shrinkage:asymptopia ?(with discussion) J. Royal Statist. Soc., Ser. B 57 301-369
  • [3] Johnstone I. M.(1990)Minimax detection of a signal in a Gaussian white noise Teor. Veroyatn. Primen 35 704-715
  • [4] Kerkyacharian G.(1986)Minimax testing of nonparametric hypothesis on a distribution density in L p –metrics Teor. Veroyat n. Pri men 31 333-337
  • [5] Picard D.(1990)Minimax detection of signals in l p –metrics Zap. Nauchn. Semin. LOMI 184 152-168
  • [6] Ermakov M. S.(1993)Asymptotically minimax hypothesis testing for nonparametric alternatives. I, II, III Mathematical Methods of Statistics 2 85-114
  • [7] Ingster Y. I.(1996)Minimax hypothesis testing for nondegenerate loss functions and extremal convex problems Zap. Nauchn. Semin. POMI 228 162-188
  • [8] Ingster Y. I.(1998)Minimax detection of a signal for l n-balls Mathematical Methods of Statistics 7 401-428
  • [9] Ingster Y. I.(2000)Minimax nonparametric hypothesis testing for ellipsoids and Besov bodies ESAIM:Probability & Statistics 4 53-135
  • [10] Ingster Y. I.(1998)Adaptive and spatially adaptive testing of nonparametric hypothesis Mathematical Methods of Statistics 7 245-273