The discrepancy distribution of stationary multiplier rules for rounding probabilities

Metrika

Volumn 53, Issue 2, 2001, Pages 171-181

  Happacher, Max ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

Discrepancy distribution; Multiplier methods of rounding; Round off error; Rounding rules; Stationary rounding function; Uniform distribution

Indexed keywords

EID: 0035648284     PISSN: 00261335     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001840000099     Document Type: Article

References (20)

1. Balinski ML, Rachev ST (1993) Rounding proportions: Rules of rounding. Numerical Functional Analysis and Optimization 14:475-501
2. Balinski ML, Ramírez V (1999) Parametric methods of apportionment, rounding and production. Mathematical Social Sciences 37:107-122
3. Balinski ML, Young HP (1982) Fair representation - meeting the ideal of one man, one vote. Yale University Press, New Haven CT
4. Bild am Sonntag (1999) Kann die ARD nicht rechnen? Issue of 19 December 1999. page 23
5. Billingsley P (1986) Probability and measure, second edition. Wiley, New York
6. Diaconis P, Freedman D (1979) On rounding percentages. Journal of the American Statistical Association 74:359-364
7. Dorfleitner G, Klein T (1999) Rounding with multiplier methods: An efficient algorithm and applications in statistics. Statistical Papers 40:143-157
8. Feller W (1968) An introduction to probability theory and its applications, volume I, third edition. Wiley, New York
9. Happacher M (1996) Die Verteilung der Diskrepanz bei stationären Multiplikatorverfahren zur Rundung von Wahrscheinlichkeiten. Augsburger Mathematisch-Naturwissenschaftliche Schriften 9. Wißner, Augsburg
10. Happacher M, Pukelsheim F (1996) Rounding probabilities: Unbiased multipliers. Statistics & Decisions 14:373-382
11. Happacher M, Pukelsheim F (1998) And round the world away. In Proceedings of the Ithaca 1996 Conference in Honor of Shayle R. Searle. Cornell University Biometrics Unit, Ithaca NY, pp. 93-108
12. Happacher M, Pukelsheim F (2000) Rounding probabilities: Maximum probability and minimum complexity multipliers. Journal of Statistical Planning and Inference 85:145-158
13. Johnson NL, Kotz S, Balakrishnan N (1995) Continuous univariate distributions, volume II, second edition. Wiley, New York
14. Kopfermann K (1978) Wahlverfahren. Technical University Mathematics Department, Hannover
15. Kopfermann K (1991) Mathematische Aspekte der Wahlverfahren - Mandatsverteilung bei Abstimmungen. Wissenschaftsverlag, Mannheim
16. Mitra S[amarenda]K, Banerjee SN (1971) On the probability distribution of round-off errors propagated in tabular differences. Australian Computer Journal 3:60-68
17. Mosteller F, Youtz C, Zahn D (1967) The distribution of sums of rounded percentages. Demography 4:850-858
18. Pukelsheim F (1993) Optimal design of experiments. Wiley, New York
19. Seal HL (1950) Spot the prior reference. Journal of the Institute of Actuaries Students' Society 10:255-258
20. Wainer, H (1998) Rounding tables. Chance 11:46-50