RT Journal Article
T1 Rukhin's uniformity test based on sample quantiles
A1 Marhuenda García, Yolanda
A1 Morales González, Domingo
A1 Pardo Llorente, Julio Ángel
A1 Pardo Llorente, María del Carmen
AB The problem of testing if a given probability distribution fits to a set of independent and identically distributed observations is usually treated by categorizing the data range. Discretization can be done by means of relative frequencies or by using sample quantiles. In this article, quantile-based test statistics are proposed to test the hypothesis of uniformity in the interval (0, 1). Exact critical values of the family of Rukhin's statistics are estimated. A Monte Carlo simulation experiment is carried out to calculate powers of these tests in different alternatives. Results obtained from each kind of categorization are compared to give several recommendations about the use of Rukhin's statistics and type of categorization.
PB Taylor & Francis
SN 0094-9655
YR 2005
FD 2005-03
LK https://hdl.handle.net/20.500.14352/50279
UL https://hdl.handle.net/20.500.14352/50279
DS Docta Complutense
RD 17 may 2024