Results 171 to 180 of about 68,154 (212)
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Computational Statistics and Data Analysis, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ashish Das, Sanpei Kageyama
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ashish Das, Sanpei Kageyama
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A relation between BIB designs and chemical balance weighing designs
Statistics and Probability Letters, 1987The paper gives a certain new construction method for optimum chemical balance weighing designs. It utilizes a relation between the incidence matrices of a set of BIB designs and the design matrix of a chemical balance weighing design.
B Ceranka
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Construction of Balanced Ternary Designs with Nested Rows and Columns Using BIB Designs
Calcutta Statistical Association Bulletin, 1998Balanced ternary designs with nested rows and columns have been constructed using balanced incomplete block designs.
Tyagi, B. N., Rizwi, S. K.
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Constructions of nested directed BIB designs [PDF]
Australas. J Comb., 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miwako Mishima +3 more
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New Constructions of BIB Designs
Biometrical Journal, 1985AbstractA method of construction of certain balanced incomplete block (BIB) designs is defined from which we get new series of BIB designs.
Kageyama, S., Mohan, R. N.
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BIB-Designs from Circular Nearrings
Results in Mathematics, 2012Let (\(N,\Phi\)) be a finite circular Ferrero pair. The set \(\Phi(a)+b\), \(a,b\in N\), \(a\not=0\), is visualized as a circle centered at \(b\) passing through \(a\). Then \(\mathcal D(a;b)=\{x\in\Phi(r)+c\mid r\not=0\), \(b\in \Phi(r)+c\), \(|(\Phi(r)+c)\cap(\Phi(a)+b)|=1\}\) can be visualized as the disk centered at \(b\) with its boundary circle ...
BENINI, ANNA +2 more
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Results on the support of BIB designs
Journal of Statistical Planning and Inference, 1989This paper presents further results on BIB designs with repeated blocks by the first author in collaboration with two new co-authors. Let \(BIB(v,b,r,k,\lambda)/b^*)\) denote a BIB (v,b,r,k,\(\lambda)\) design with precisely \(b^*\) distinct blocks. The set of all distinct blocks is called the support of the BIB design and the number \(b^*\) is called ...
Hedayat, A. S. +2 more
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Acta Mathematica Sinica, English Series, 2000
The author improves his estimate [J. Comb. Des. 4, No. 2, 83-93 (1996; Zbl 0913.05017)] of the upper bound for the smallest integer \(c(k,\lambda)\) such that \(v\in B(k,\lambda)\) for every integer \(v\geq c(k,\lambda)\) that satisfies the congruences \(\lambda v(v- 1)\equiv 0\;(\text{mod }k(k- 1))\) and \(\lambda(v- 1)\equiv 0\;(\text{mod }k- 1)\) in
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The author improves his estimate [J. Comb. Des. 4, No. 2, 83-93 (1996; Zbl 0913.05017)] of the upper bound for the smallest integer \(c(k,\lambda)\) such that \(v\in B(k,\lambda)\) for every integer \(v\geq c(k,\lambda)\) that satisfies the congruences \(\lambda v(v- 1)\equiv 0\;(\text{mod }k(k- 1))\) and \(\lambda(v- 1)\equiv 0\;(\text{mod }k- 1)\) in
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On a Family of Resolvable BIB Designs
Calcutta Statistical Association Bulletin, 1981In this paper we give a method of construction of a family of resolvable BIB designs with parameters v = p2 q, k = pq, λ = ( pq -1)⁄( q -1), where p is a prime or prime power and q is an integer such that p ⩾ q ⩾ 2 and ( pq- 1 )⁄( q -1) is an integer.
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Journal of the Australian Mathematical Society, 1979
AbstractA series of balanced incomplete block (BIB) designs with parameters , is constructed, where , w any integer.
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AbstractA series of balanced incomplete block (BIB) designs with parameters , is constructed, where , w any integer.
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