Power of A Class of Goodness-of-Fit Tests I

Christopher S. Withers; Saralees Nadarajah

ESAIM: Probability and Statistics (2009)

  • Volume: 13, page 283-300
  • ISSN: 1292-8100

Abstract

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Consider testing whether F = F0 for a continuous cdf on R = (-∞,∞) and for a random sample X1,..., Xn from F. We derive expansions of the associated asymptotic power based on the Cramer-von Mises, Kolmogorov-Smirnov and Kuiper statistics. We provide numerical illustrations using a double-exponential example with a shifted alternative.

How to cite

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Withers, Christopher S., and Nadarajah, Saralees. "Power of A Class of Goodness-of-Fit Tests I." ESAIM: Probability and Statistics 13 (2009): 283-300. <http://eudml.org/doc/250631>.

@article{Withers2009,
abstract = { Consider testing whether F = F0 for a continuous cdf on R = (-∞,∞) and for a random sample X1,..., Xn from F. We derive expansions of the associated asymptotic power based on the Cramer-von Mises, Kolmogorov-Smirnov and Kuiper statistics. We provide numerical illustrations using a double-exponential example with a shifted alternative. },
author = {Withers, Christopher S., Nadarajah, Saralees},
journal = {ESAIM: Probability and Statistics},
keywords = {Asymptotic power; Brownian bridge; goodness-of-fit; Pitman efficiency; asymptotic power; pitman efficiency},
language = {eng},
month = {7},
pages = {283-300},
publisher = {EDP Sciences},
title = {Power of A Class of Goodness-of-Fit Tests I},
url = {http://eudml.org/doc/250631},
volume = {13},
year = {2009},
}

TY - JOUR
AU - Withers, Christopher S.
AU - Nadarajah, Saralees
TI - Power of A Class of Goodness-of-Fit Tests I
JO - ESAIM: Probability and Statistics
DA - 2009/7//
PB - EDP Sciences
VL - 13
SP - 283
EP - 300
AB - Consider testing whether F = F0 for a continuous cdf on R = (-∞,∞) and for a random sample X1,..., Xn from F. We derive expansions of the associated asymptotic power based on the Cramer-von Mises, Kolmogorov-Smirnov and Kuiper statistics. We provide numerical illustrations using a double-exponential example with a shifted alternative.
LA - eng
KW - Asymptotic power; Brownian bridge; goodness-of-fit; Pitman efficiency; asymptotic power; pitman efficiency
UR - http://eudml.org/doc/250631
ER -

References

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