Symbolic operators for multiple sums

被引：4

作者：

Bellhouse, DR ^{[1
]}

Philips, R ^{[1
]}

Stafford, JE ^{[1
]}

机构：

[1] UNIV WESTERN ONTARIO,DEPT STAT & ACTUARIAL SCI,WESTERN SCI CTR,LONDON,ON B6A 5B7,CANADA

来源：

COMPUTATIONAL STATISTICS & DATA ANALYSIS | 1997年 / 24卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

computer algebra; expected value; full partition; outer product; symbolic computation; unbiased estimate;

D O I：

10.1016/S0167-9473(96)00072-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 [计算机应用技术]; 0835 [软件工程];

摘要：

Operators for expectation and the derivation of unbiased estimates for multiple sums are given. Calculations automated are functions of outer products of full partitions. An operator FP for the derivation of a full partition is iterated across the dimensions of a sum to automate a calculation. Applications include multi-stage sample surveys and r-way contingency tables. The procedures have been defined in Mathematica.

引用

页码：443 / 454

页数：12

共 10 条

[1]

ANDREWS DF, 1997, IN PRESS STAT COMPUT

[2]

BARNDORFFNIELSE.OE, 1989, ASYMPTOTIC TECHNIQUE

[3]

Everitt B.S., 1992, The analysis of contingency tables

[4]

KENDALL WS, 1994, STAT COMPUT, V4

[5]

COMPLEMENTARY SET PARTITIONS [J].

MCCULLAGH, P ;

WILKS, AR .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1988, 415 (1849) :347-362

[6]

McCullagh P, 1987, TENSOR METHODS STAT

[7]

STAFFORD JE, 1994, J COMPUT GRAPH STAT, V3, P249

[8]

STAFFORD JE, 1997, SAMPLE SURVEY METHOD

[9]

van Lint J., 1992, A Course in Combinatorics

[10]

Wolfram Stephen., 1988, Mathematica: A system for Doing Mathematics by Computer, V2nd

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