A survey of resolvable solutions of partially balanced designs

被引：2

作者：

Saurabh, Shyam ^{[1
]}

Sinha, Kishore ^{[2
]}

Singh, Mithilesh Kumar ^{[1
]}

机构：

[1] Ranchi Univ, Dept Math, Ranchi 834001, Bihar, India

[2] Birsa Agr Univ, Dept Stat, Ranchi, Bihar, India

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 06期

关键词：

Resolvable design; group divisible (GD) design; regular and semi-regular GD designs; triangular designs; Latin square designs; LDPC codes; LIST;

D O I：

10.1080/03610926.2021.1942049

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Kageyama (1972) presented a survey of resolvable solutions of balanced incomplete block designs. Clatworthy (1973) produced tables of two associate classes partially balanced designs in the practical range of r, k <= 10 and presented resolvable solutions whenever possible. Here, the minimum alpha (<= 1) - resolvable solutions of partially balanced designs not found in Clatworthy (1973) and Saurabh and Sinha (2020) are presented. This paper is in sequel to the paper by Saurabh and Sinha (2020).

引用

页码：1946 / 1962

页数：17

共 50 条

[21] On a class of partially balanced incomplete block designs with applications in survey sampling
See, K
Song, SY
Stufken, J
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1997, 26 (01) : 1 - 13
[22] Incomplete split-plot designs generated by some resolvable balanced designs
Ozawa, K
Mejza, S
Jimbo, M
Mejza, I
Kuriki, S
STATISTICS & PROBABILITY LETTERS, 2004, 68 (01) : 9 - 15
[23] Resolvable balanced incomplete block designs with block size 5
Abel, RJR
Ge, GN
Greig, M
Zhu, L
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2001, 95 (1-2) : 49 - 65
[24] Frame difference families and resolvable balanced incomplete block designs
Costa, Simone
Feng, Tao
Wang, Xiaomiao
DESIGNS CODES AND CRYPTOGRAPHY, 2018, 86 (12) : 2725 - 2745
[25] THE IMPOSSIBILITY OF CERTAIN AFFINE RESOLVABLE BALANCED INCOMPLETE BLOCK DESIGNS
SHRIKHANDE, SS
ANNALS OF MATHEMATICAL STATISTICS, 1951, 22 (04): : 609 - 609
[26] Frame difference families and resolvable balanced incomplete block designs
Simone Costa
Tao Feng
Xiaomiao Wang
Designs, Codes and Cryptography, 2018, 86 : 2725 - 2745
[27] Resolvable Balanced Incomplete Block Designs with Block Size 8
Greig M.
Abel J.
Designs, Codes and Cryptography, 1997, 11 (2) : 123 - 140
[28] PARTIALLY BALANCED DESIGNS AND SUM OF KRONECKER PRODUCTS OF DESIGNS
SURENDRA.PU
CALCUTTA STATISTICAL ASSOCIATION BULLETIN, 1968, 17 (68): : 161 - &
[29] PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS
Bose, R. C.
Nair, K. R.
SANKHYA, 1939, 4 : 337 - 372
[30] SOME THEOREMS FOR PARTIALLY BALANCED DESIGNS
CONNOR, WS
CLATWORTHY, WH
ANNALS OF MATHEMATICAL STATISTICS, 1954, 25 (01): : 100 - 112

← 1 2 3 4 5 →