Arbeitspapier

Parametric versus nonparametric goodness of fit: Another view

We consider chi-squared type tests for testing the hypothesis H 0 that a density f of observations X1,..., Xn lies in a parametric class of densities F. We consider a version of chi-squared type test using kernel estimates for the density. The main result is, following Liero, Läuter and Konakov (1998) the derivation of the asymptotic behavior of the power of the test under Pitman and sharp peak type alternatives. The connection of the rate of convergence of these local alternatives, the bandwidth of the kernel estimator, the parametric estimator, the power of the test are studied.

Language
Englisch

Bibliographic citation
Series: SFB 373 Discussion Paper ; No. 1999,14

Classification
Wirtschaft
Subject
maximum likelihood estimator
local alternative
asymptotic power
Chi-squared test
Goodness-of-fit test
Density
kernel estimators
Pitman alternative
sharp peak alternative

Event
Geistige Schöpfung
(who)
Läuter, Henning
Nikulin, Michail
Event
Veröffentlichung
(who)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(where)
Berlin
(when)
1999

Handle
URN
urn:nbn:de:kobv:11-10056085
Last update
10.03.2025, 11:44 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Läuter, Henning
  • Nikulin, Michail
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Time of origin

  • 1999

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