Uniformly distributed sequences with an additional uniform property

1976 ◽  
Vol 16 (5) ◽  
pp. 236-242 ◽  
Author(s):  
I.M. Sobol
Keyword(s):  
Uniform Property ◽  
Uniformly Distributed Sequences

SPECIES OF PROPERTY: THE AMERICAN PROPERTY-TAX UNIFORMITY CLAUSES RECONSIDERED

2001 ◽  
Vol 61 (4) ◽  
pp. 974-1008 ◽  
Author(s):  
Robin L. Einhorn
Keyword(s):  
United States ◽  
Political Economy ◽  
Property Tax ◽  
The United States ◽  
The South ◽  
State Constitutions ◽  
Uniform Property ◽  
The U.S

Economic historians have traced the origin of the uniform property tax in the United States to the insertion of uniformity clauses into state constitutions in the Northwest and to efforts to tax commercial wealth. This article shows that the tax was created by legislation in the Northeast and that the first constitutional clauses were adopted in the South to protect slaveholders. It is time for historians of the U.S. political economy to abandon the dated paradigms of the “progressive history” tradition.

scholarly journals Asymptotic Behavior of k-Word Matches Between two Uniformly Distributed Sequences

2007 ◽  
Vol 44 (03) ◽  
pp. 788-805
Author(s):  
M. R. Kantorovitz ◽  
H. S. Booth ◽  
C. J. Burden ◽  
S. R. Wilson
Keyword(s):  
Asymptotic Behavior ◽  
Stein’S Method ◽  
Finite Alphabet ◽  
Stein's Method ◽  
Sequence Database ◽  
Letter Word ◽  
Uniform Case ◽  
Est Sequence ◽  
Uniformly Distributed Sequences ◽  
Independent And Identically Distributed

Given two sequences of length n over a finite alphabet A of size |A| = d, the D 2 statistic is the number of k-letter word matches between the two sequences. This statistic is used in bioinformatics for EST sequence database searches. Under the assumption of independent and identically distributed letters in the sequences, Lippert, Huang and Waterman (2002) raised questions about the asymptotic behavior of D 2 when the alphabet is uniformly distributed. They expressed a concern that the commonly assumed normality may create errors in estimating significance. In this paper we answer those questions. Using Stein's method, we show that, for large enough k, the D 2 statistic is approximately normal as n gets large. When k = 1, we prove that, for large enough d, the D 2 statistic is approximately normal as n gets large. We also give a formula for the variance of D 2 in the uniform case.

scholarly journals On families of equi-uniformly distributed sequences in compact spaces

1965 ◽  
Vol 161 (4) ◽  
pp. 255-278 ◽  
Author(s):  
P. C. Baayen ◽  
G. Helmberg
Keyword(s):  
Compact Spaces ◽  
Uniformly Distributed Sequences
Sign in / Sign up

Export Citation Format

Share Document