Arbeitspapier

Constructive asymptotic equivalence of density estimation and Gaussian white noise

A recipe is provided for producing, from a sequence of procedures in the Gaussian regression model, an asymptotically equivalent sequence in the density estimation model with i. i. d. observations. The recipe is, to put it roughly, to calculate square roots of normalised frequencies over certain intervals, add a small random distortion, and pretend these to be observations from a Gaussian discrete regression model.

Language
Englisch

Bibliographic citation
Series: SFB 373 Discussion Paper ; No. 1998,53

Classification
Wirtschaft
Subject
asymptotic minimax risk
Nonparametric experiments
deficiency distance
Markov kernel
curve estimation

Event
Geistige Schöpfung
(who)
Nussbaum, Michael
Klemelä, Jussi
Event
Veröffentlichung
(who)
Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes
(where)
Berlin
(when)
1998

Handle
URN
urn:nbn:de:kobv:11-10057073
Last update
10.03.2025, 11:42 AM CET

Data provider

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Object type

  • Arbeitspapier

Associated

  • Nussbaum, Michael
  • Klemelä, Jussi
  • Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes

Time of origin

  • 1998

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