Quotient of information matrices in comparison of linear experiments for quadratic estimation

• Autorzy: Czesław Stępniak
• Języki publikacji: EN

Abstrakty

EN

The ordering of normal linear experiments with respect to quadratic estimation, introduced by Stępniak in [Ann. Inst. Statist. Math. A 49 (1997), 569-584], is extended here to the experiments involving the nuisance parameters. Typical experiments of this kind are induced by allocations of treatments in the blocks. Our main tool, called quotient of information matrices, may be interesting itself. It is known that any orthogonal allocation of treatments in blocks is optimal with respect to linear estimation of all treatment contrasts. We show that such allocation is, however, not optimal for quadratic estimation.

Słowa kluczowe

EN

Normal linear experiment; Comparison of experiments for quadratic estimation; Nuisance parameter; Quotient of information matrices; Orthogonal block design; Nonoptimality for quadratic estimation

Kategorie tematyczne

• 62K10: Block designs
• 62J05: Linear regression
• 05B20: Matrices (incidence, Hadamard, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1599-1605

Daty

wydano

2017-01-01

otrzymano

2017-04-13

zaakceptowano

2017-08-23

online

2017-12-29

Twórcy

autor

Czesław Stępniak

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Identyfikatory

DOI

10.1515/math-2017-0135