Pitman efficiencies of L p -goodness-of-fit tests

Jan Beirlant; László Györfi

Kybernetika (1994)

  • Volume: 30, Issue: 3, page 223-232
  • ISSN: 0023-5954

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Beirlant, Jan, and Györfi, László. "Pitman efficiencies of $L_p$-goodness-of-fit tests." Kybernetika 30.3 (1994): 223-232. <http://eudml.org/doc/28323>.

@article{Beirlant1994,
author = {Beirlant, Jan, Györfi, László},
journal = {Kybernetika},
keywords = {Pitman efficiencies; empirical distribution; goodness-of-fit tests; histogram density estimates},
language = {eng},
number = {3},
pages = {223-232},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Pitman efficiencies of $L_p$-goodness-of-fit tests},
url = {http://eudml.org/doc/28323},
volume = {30},
year = {1994},
}

TY - JOUR
AU - Beirlant, Jan
AU - Györfi, László
TI - Pitman efficiencies of $L_p$-goodness-of-fit tests
JO - Kybernetika
PY - 1994
PB - Institute of Information Theory and Automation AS CR
VL - 30
IS - 3
SP - 223
EP - 232
LA - eng
KW - Pitman efficiencies; empirical distribution; goodness-of-fit tests; histogram density estimates
UR - http://eudml.org/doc/28323
ER -

References

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  1. J. Beirlant L. Györfi, G. Lugosi, On the asymptotic normality of the L 1 - and L 2 -errors in histogram density estimation, Canad. J. Statist. (to appear 1995). (1995) 
  2. J. Beirlant, D. M. Mason, On the asymptotic normality of L p norms of empirical functionals, Mathem. Methods Statist. (to appear 1995). (1995) MR1324687
  3. L. Devroye, L. Györfi, Nonparametric Density Estimation: The L 1 -View, Wiley, New York 1985. (1985) MR0780746
  4. L. Györfi, E. C. van der Meulen, A consistent goodness-of-fit test based on the total variation distance, In: Nonparametric Functional Estimation and Related Topics (G. Roussas, ed.), Kluwer Academic Publishers, Dordrecht 1991, pp. 631-645. (1991) MR1154355
  5. C. Morris, Central limit theorems for multinomial sums, Ann. Statist. 3 (1975), 165-188. (1975) Zbl0305.62013MR0370871
  6. M. P. Quine, J. Robinson, Efficiences of chi-square and likelihood ratio goodness-of-fit tests, Ann. Statist. 13 (1985), 727-742. (1985) MR0790568

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