Publication Cover
Statistics
A Journal of Theoretical and Applied Statistics
Volume 44, 2010 - Issue 2
103
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Semiparametric estimation of outbreak regression

, &
Pages 107-117 | Received 28 Feb 2008, Published online: 25 Jun 2009

References

  • Bunke , O. , Droge , B. and Polzehl , J. 1999 . Model selection, transformations and variance estimation in nonlinear regression . Statistics , 33 : 197 – 240 .
  • Andersson , E. 2002 . Monitoring cyclical processes – a nonparametric approach . J. Appl. Stat. , 29 : 973 – 990 .
  • Frisén , M. 2003 . Statistical surveillance. Optimality and methods . Int. Stat. Rev. , 71 : 403 – 434 .
  • Andersson , E. , Bock , D. and Frisén , M. 2008 . Modeling influenza incidence for the purpose of on-line monitoring . Stat. Methods Med. Res. , 17 : 421 – 438 .
  • Bock , D. , Andersson , E. and Frisén , M. 2008 . Statistical surveillance of epidemics: peak detection of influenza in Sweden . Biom. J. , 50 : 71 – 85 .
  • Ion , R. A. and Klaassen , C. A.J. 2005 . Non-parametric Shewhart control charts . J. Nonparametr. Stat. , 17 : 971 – 988 .
  • Frisén , M. 1986 . Unimodal regression . Statistician , 35 : 479 – 485 .
  • Andersson , L. and Frisén , M. 2002 . Verifications of turning points . J. Nonparametr. Stat. , 14 : 623 – 645 .
  • Andersson , E. , Bock , D. and Frisén , M. 2005 . Statistical surveillance of cyclical processes. Detection of turning points in business cycles . J. Forecast , 24 : 465 – 490 .
  • Hildreth , C. 1954 . Point estimation of ordinates of concave functions . J. Am. Stat. Assoc. , 49 : 598 – 619 .
  • Gill , R. and Baron , M. 2004 . Consistent estimation in generalized broken-line regression . J. Stat. Plan. Inference , 126 : 441 – 460 .
  • Härdle , W. 1991 . Smoothing techniques. With implementations in S , New York : Springer .
  • Mammen , E. 1991 . Nonparametric regression under qualitative smoothness assumptions . Ann. Stat. , 19 : 741 – 759 .
  • Efromovich , S. 2001 . Density estimation under random censorship and order restrictions: from asymptotic to small samples . J. Am. Stat. Assoc. , 96 : 667 – 684 .
  • Frisén , M. 2007 . Discussion on “Sequential design and estimation in heteroscedastic nonparametric regression” by Sam Efromovich . Sequential Anal. , 26 : 45 – 47 .
  • Frisén , M. and Andersson , E. 2009 . Semiparametric surveillance of outbreaks , to appear in Sequential Anal
  • Frisén , M. , Andersson , E. and Schiöler , L. 2009 . Robust outbreak surveillance of epidemics in Sweden . Stat. Med. , 28 : 476 – 493 .
  • Barlow , R. E. , Bartholomew , D. J. , Bremer , J. M. and Brunk , H. D. 1972 . Statistical inference under order restrictions , London : Wiley .
  • Robertson , T. , Wright , F. T. and Dykstra , R. L. 1988 . “ Order restricted statistical inference ” . Chichester : Wiley .
  • Silvapulle , M. and Sen , P. K. 2005 . Constrained statistical inference. Inequality, order and shape restriction , Wiley .
  • Sonesson , C. and Bock , D. 2003 . A review and discussion of prospective statistical surveillance in public health . J. R. Stat. Soc. A , 166 : 5 – 21 .
  • Andersson , E. , Kuhlmann-Berenzon , S. , Linde , A. , Schiöler , L. , Rubinova , S. and Frisén , M. 2008 . Predictions by early indicators of the time and height of yearly influenza outbreaks in Sweden . Scand. J. Public Health , 36 : 475 – 482 .
  • Silverman , B. W. 1985 . Some aspects of the spline smoothing approach to non-parametric regression curve fitting . J. R. Stat. Soc. B , 47 : 1 – 52 .
  • Wu , W. , Woodroofe , M. and Mentz , G. 2001 . Isotonic regression: another look at the changepoint problem . Biometrika , 88 : 793 – 804 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.