## Optimal design: an introduction to the theory for parameter estimationLinear theory; Approximate theory for linear regression design; Algorithms; Approximate theory - particular criteria; Non-linear problems; Sequential designs. |

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### Contents

Linear theory | 9 |

Approximate theory for linear regression design | 15 |

Algorithms | 28 |

Copyright | |

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### Other editions - View all

Optimal Design: An Introduction to the Theory for Parameter Estimation S. Silvey No preview available - 2013 |

### Common terms and phrases

algorithms approximate theory ATM~A choose concave function consider constructing optimal design containing SC convex combination convex cone convex function convex hull convex set criterion function D-optimal defined denote depend on 9 design measure corresponding design measure putting design measure rj design point design problem design space SC discuss duality theory ellipsoid equivalent estimator of 9 example exists experimentation Fedorov Fisher's information matrix Gateaux derivative Hence induced design space interest iteration iV-observation design k x k matrix Kiefer least-squares estimator linear regression design logdet minimize n e H N-observation non-linear non-singular matrix Note observations optimal design measure optimal measure particular points of SC positive definite possible practical probability distribution Proof Pukelsheim 1980 random vector s x s Section sequentially constructed design Silvey singular information matrix step-length support points Suppose take the value Theorem 3.7 variance matrix vector with distribution verify W-algorithm xeSC