Seat excess variances of apportionment methods for proportional representation

Udo Schwingenschlögl; Mathias Drton

doi:10.1016/j.spl.2006.04.014

Seat excess variances of apportionment methods for proportional representation

Udo Schwingenschlögl, Mathias Drton^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Apportionment methods round vote proportions to integer numbers of seats in a parliament. The seat excess is the difference between the integer seat allocation and the fractional ideal share of seats. In order to quantify biased treatment of larger versus smaller parties, previous studies derived the conditional expectation of the seat excess, when the vote proportions are conditioned to be ordered. We complement these studies by computing the conditional seat excess variance for popular apportionment methods.

Original language	English (US)
Pages (from-to)	1723-1730
Number of pages	8
Journal	Statistics and Probability Letters
Volume	76
Issue number	16
DOIs	https://doi.org/10.1016/j.spl.2006.04.014
State	Published - Oct 1 2006
Externally published	Yes

Keywords

Divisor methods
Quota method of greatest remainders
Rounding methods
Seat bias

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1016/j.spl.2006.04.014

Cite this

@article{dd173544ac2143b5a7c6b408c7878930,

title = "Seat excess variances of apportionment methods for proportional representation",

abstract = "Apportionment methods round vote proportions to integer numbers of seats in a parliament. The seat excess is the difference between the integer seat allocation and the fractional ideal share of seats. In order to quantify biased treatment of larger versus smaller parties, previous studies derived the conditional expectation of the seat excess, when the vote proportions are conditioned to be ordered. We complement these studies by computing the conditional seat excess variance for popular apportionment methods.",

keywords = "Divisor methods, Quota method of greatest remainders, Rounding methods, Seat bias",

author = "Udo Schwingenschl{\"o}gl and Mathias Drton",

year = "2006",

month = oct,

day = "1",

doi = "10.1016/j.spl.2006.04.014",

language = "English (US)",

volume = "76",

pages = "1723--1730",

journal = "Statistics and Probability Letters",

issn = "0167-7152",

publisher = "Elsevier",

number = "16",

}

TY - JOUR

T1 - Seat excess variances of apportionment methods for proportional representation

AU - Schwingenschlögl, Udo

AU - Drton, Mathias

PY - 2006/10/1

Y1 - 2006/10/1

N2 - Apportionment methods round vote proportions to integer numbers of seats in a parliament. The seat excess is the difference between the integer seat allocation and the fractional ideal share of seats. In order to quantify biased treatment of larger versus smaller parties, previous studies derived the conditional expectation of the seat excess, when the vote proportions are conditioned to be ordered. We complement these studies by computing the conditional seat excess variance for popular apportionment methods.

AB - Apportionment methods round vote proportions to integer numbers of seats in a parliament. The seat excess is the difference between the integer seat allocation and the fractional ideal share of seats. In order to quantify biased treatment of larger versus smaller parties, previous studies derived the conditional expectation of the seat excess, when the vote proportions are conditioned to be ordered. We complement these studies by computing the conditional seat excess variance for popular apportionment methods.

KW - Divisor methods

KW - Quota method of greatest remainders

KW - Rounding methods

KW - Seat bias

UR - http://www.scopus.com/inward/record.url?scp=33747153823&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2006.04.014

DO - 10.1016/j.spl.2006.04.014

M3 - Article

AN - SCOPUS:33747153823

SN - 0167-7152

VL - 76

SP - 1723

EP - 1730

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 16

ER -

Seat excess variances of apportionment methods for proportional representation

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this