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The Exact Asymptotic Distribution Function of Watson's UN-Squared for Testing Goodness-of-Fit With Circular Discrete Data

We show that the full asymptotic distribution for Watson’s statistic, modified for discrete data, can be computed by standard methods. Previous approximate percentiles for the uniform multinomial case are found to be accurate. More extensive percentiles are presented for this distribution, and for the distribution associated with “Benford’s Law”.
Year of publication:
2006-11-17
Authors: Giles, David E. A.
Institutions: Department of Economics, University of Victoria
Subject: Distributions on the Circle | Goodness-of-fit | Watson's UN-squared | Discrete data | Benford's Law
Extent:
application/pdf
Series:
Type of publication: Book / Working Paper
Language: English
Notes:
ISSN 1485-6441 Number 0607 8 pages
Classification: C12 - Hypothesis Testing ; c46
Source:
Persistent link: https://www.econbiz.de/10005260597
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