On some topological properties of stable measures

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Standard

On some topological properties of stable measures. / Nielsen, Carsten Krabbe.

I: Economic Theory, Bind 8, Nr. 3, 1996, s. 531-553.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Nielsen, CK 1996, 'On some topological properties of stable measures', Economic Theory, bind 8, nr. 3, s. 531-553. https://doi.org/10.1007/s001990050104

APA

Nielsen, C. K. (1996). On some topological properties of stable measures. Economic Theory, 8(3), 531-553. https://doi.org/10.1007/s001990050104

Vancouver

Nielsen CK. On some topological properties of stable measures. Economic Theory. 1996;8(3):531-553. https://doi.org/10.1007/s001990050104

Author

Nielsen, Carsten Krabbe. / On some topological properties of stable measures. I: Economic Theory. 1996 ; Bind 8, Nr. 3. s. 531-553.

Bibtex

@article{85b69720ec5a11dcbee902004c4f4f50,
title = "On some topological properties of stable measures",
abstract = "Summary The paper shows that the set of stable probability measures and the set of Rational Beliefs relative to a given stationary measure are closed in the strong topology, but not closed in the topology of weak convergence. However, subsets of the set of stable probability measures which are characterized by uniformity of convergence of the empirical distribution are closed in the topology of weak convergence. It is demonstrated that such subsets exist. In particular, there is an increasing sequence of sets of SIDS measures who's union is the set of all SIDS measures generated by a particular system and such that each subset consists of stable measures. The uniformity requirement has a natural interpretation in terms of plausibility of Rational Beliefs",
author = "Nielsen, {Carsten Krabbe}",
note = "JEL Classification: C53, D84",
year = "1996",
doi = "10.1007/s001990050104",
language = "English",
volume = "8",
pages = "531--553",
journal = "Economic Theory",
issn = "0938-2259",
publisher = "Springer",
number = "3",

}

RIS

TY - JOUR

T1 - On some topological properties of stable measures

AU - Nielsen, Carsten Krabbe

N1 - JEL Classification: C53, D84

PY - 1996

Y1 - 1996

N2 - Summary The paper shows that the set of stable probability measures and the set of Rational Beliefs relative to a given stationary measure are closed in the strong topology, but not closed in the topology of weak convergence. However, subsets of the set of stable probability measures which are characterized by uniformity of convergence of the empirical distribution are closed in the topology of weak convergence. It is demonstrated that such subsets exist. In particular, there is an increasing sequence of sets of SIDS measures who's union is the set of all SIDS measures generated by a particular system and such that each subset consists of stable measures. The uniformity requirement has a natural interpretation in terms of plausibility of Rational Beliefs

AB - Summary The paper shows that the set of stable probability measures and the set of Rational Beliefs relative to a given stationary measure are closed in the strong topology, but not closed in the topology of weak convergence. However, subsets of the set of stable probability measures which are characterized by uniformity of convergence of the empirical distribution are closed in the topology of weak convergence. It is demonstrated that such subsets exist. In particular, there is an increasing sequence of sets of SIDS measures who's union is the set of all SIDS measures generated by a particular system and such that each subset consists of stable measures. The uniformity requirement has a natural interpretation in terms of plausibility of Rational Beliefs

U2 - 10.1007/s001990050104

DO - 10.1007/s001990050104

M3 - Journal article

VL - 8

SP - 531

EP - 553

JO - Economic Theory

JF - Economic Theory

SN - 0938-2259

IS - 3

ER -

ID: 3047464