On two tests based on disjoint m-spacings
Applicationes Mathematicae (1998)
- Volume: 25, Issue: 3, page 359-373
- ISSN: 1233-7234
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topCzekała, Franciszek. "On two tests based on disjoint m-spacings." Applicationes Mathematicae 25.3 (1998): 359-373. <http://eudml.org/doc/219209>.
@article{Czekała1998,
abstract = {This paper is concerned with the properties of two statistics based on the logarithms of disjoint m-spacings. The asymptotic normality is established in an elementary way and exact and asymptotic means and variances are computed in the case of uniform distribution on the interval [0,1]. This result is generalized to the case when the sample is drawn from a distribution with positive step density on [0,1]. Bahadur approximate efficiency of tests based on those statistics is found for such alternatives.},
author = {Czekała, Franciszek},
journal = {Applicationes Mathematicae},
keywords = {step densities; disjoint m-spacings; limit distributions; Bahadur approximate efficiency},
language = {eng},
number = {3},
pages = {359-373},
title = {On two tests based on disjoint m-spacings},
url = {http://eudml.org/doc/219209},
volume = {25},
year = {1998},
}
TY - JOUR
AU - Czekała, Franciszek
TI - On two tests based on disjoint m-spacings
JO - Applicationes Mathematicae
PY - 1998
VL - 25
IS - 3
SP - 359
EP - 373
AB - This paper is concerned with the properties of two statistics based on the logarithms of disjoint m-spacings. The asymptotic normality is established in an elementary way and exact and asymptotic means and variances are computed in the case of uniform distribution on the interval [0,1]. This result is generalized to the case when the sample is drawn from a distribution with positive step density on [0,1]. Bahadur approximate efficiency of tests based on those statistics is found for such alternatives.
LA - eng
KW - step densities; disjoint m-spacings; limit distributions; Bahadur approximate efficiency
UR - http://eudml.org/doc/219209
ER -
References
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- S. R. Jammalamadaka and R. C. Tiwari (1986), Efficiencies of some disjoint spacings tests relative to a test, in: M. L. Puri, J. Vilaplana and W. Wertz (eds.), New Perspectives in Theoretical and Applied Statistics, Wiley, New York, 311-318.
- B. K. Kale (1969), Unified derivation of tests of goodness of fit based on spacings, Sankhyā Ser. A 31, 43-48. Zbl0176.48604
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