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Optimum designs for estimation of optimum point under cost constraint

Author

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  • Manisha Pal
  • Nripes Mandal

Abstract

In this paper, we consider the estimation of the optimum factor combination in a response surface model. Assuming that the response function is quadratic concave and there is a linear cost constraint on the factor combination, we attempt to find the optimum design using the trace optimality criterion. As the criterion function involves the unknown parameters, we adopt a pseudo-Bayesian approach to resolve the problem.

Suggested Citation

  • Manisha Pal & Nripes Mandal, 2009. "Optimum designs for estimation of optimum point under cost constraint," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(9), pages 999-1008.
    • Handle: RePEc:taf:japsta:v:36:y:2009:i:9:p:999-1008
    DOI: 10.1080/02664760802582264
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    Citations

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    Cited by:

    1. Mandal, N.K. & Pal, Manisha & Aggarwal, M.L., 2012. "Pseudo-Bayesian A-optimal designs for estimating the point of maximum in component-amount Darroch–Waller mixture model," Statistics & Probability Letters, Elsevier, vol. 82(6), pages 1088-1094.
    2. Nripes Mandal & Manisha Pal & Bikas Sinha & Premadhis Das, 2015. "Optimum mixture designs in a restricted region," Statistical Papers, Springer, vol. 56(1), pages 105-119, February.
    3. Mandal, Nripes Kumar & Pal, Manisha, 2013. "Maximin designs for the detection of synergistic effects," Statistics & Probability Letters, Elsevier, vol. 83(7), pages 1632-1637.

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