Skip to main content
SpringerLink
Log in

Sequential Designs

  • Chapter
  • First Online:
Book cover Optimal Experimental Design for Non-Linear Models

Part of the book series: SpringerBriefs in Statistics ((BRIEFSSTATIST))

  • 1583 Accesses

Abstract

The Sequential Principle of design is adopted as the point estimation method and the theoretical insight is discussed, in a compact way. The Stochastic Approximation iterative scheme is discussed as a particular case.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • Chaudhuri P, Mykland PA (1995) On efficient design on nonlinear experiments. Stat Sinica 5:421–440

    MATH  MathSciNet  Google Scholar 

  • Consonni G, Marin J-M (2007) Mean-field variational approximate Bayesian inference for latent variable model. Comput Statistics Data Anal 52:790–798

    Article  MATH  MathSciNet  Google Scholar 

  • Ford I, Titterington DM, Wu CFJ (1985) Inference and sequential design. Biometrika 72:545–551

    Article  MathSciNet  Google Scholar 

  • Ford I, Kitsos CP, Titterington DM (1989) Recent advances in nonlinear experimental design. Technometrics 31:49–60

    Article  MATH  MathSciNet  Google Scholar 

  • Guttman L, Guttman R (1959) An illustration of the use of stochastic approximation. Biometrics 15:551–559

    Article  MATH  Google Scholar 

  • Hu I (1998) On sequential designs in nonlinear problems. Biometrika 85:496–503

    Article  MATH  MathSciNet  Google Scholar 

  • Kitsos CP (1986) Design and inference in nonlinear problems. Ph.D. thesis, University of Glasgow, UK

    Google Scholar 

  • Kitsos CP (1989) Fully sequential procedures in nonlinear design problems. Comp Stat Data Anal 8:13–19

    Article  MATH  MathSciNet  Google Scholar 

  • Kitsos CP (1999) Optimal designs for estimating the percentiles of the risk in multistage models in carcinogenesis. Biometrical J 41:33–43

    Article  MATH  MathSciNet  Google Scholar 

  • Lai TL, Robbins H (1981) Adaptive design and stochastic approximation. Ann Stat 7:1196–1221

    Google Scholar 

  • Olin S, Farland W, Park C, Rhomberg L, Scheuplein R, Start T, Wilson J (1995) Low-dose extrapolation of cancer risks. ILSI Press, Washington, D.C

    Google Scholar 

  • Robbins H, Monro S (1951) A stochastic approximation method. Ann Math Stat 22:400–407

    Article  MATH  MathSciNet  Google Scholar 

  • Schervish JM (1995) Theory of statistics. Springer, New York

    Book  MATH  Google Scholar 

  • Titterington DM (1980) Aspects of optimal design in dynamic systems. Technometrics 22:287–299

    Article  MATH  MathSciNet  Google Scholar 

  • Wosniok W, Kitsos CP, Watanabe K (1999) Statistical issues in the application of multistage and biologically based models. In: Cogliano VJ, Luebeck EG, Zapponi GA (eds) Perspectives on biologically based risk assessment (Chap. 7). Plenum Publishers, Berlin

    Google Scholar 

  • Wu CFJ (1981) Asymptotic theory of nonlinear least squares estimates. Ann Stat 9:501–513

    Article  MATH  Google Scholar 

  • Wu CFJ (1985) Efficient sequential designs with binary data. JASA 80:974–984

    Google Scholar 

  • Wu CFJ, Wynn HP (1978) The convergence of general step-length algorithms for regular optimum design criteria. Ann Stat 6:1273–1285

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Informatics, Technological Educational Institute of Athens, Athens, Greece

    Christos P. Kitsos

Authors
  1. Christos P. Kitsos
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Christos P. Kitsos .

Rights and permissions

Reprints and permissions

Copyright information

© 2013 The Author(s)

About this chapter

Cite this chapter

Kitsos, C.P. (2013). Sequential Designs. In: Optimal Experimental Design for Non-Linear Models. SpringerBriefs in Statistics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45287-1_5

Download citation

Publish with us

Policies and ethics

Search

Navigation