TY - JOUR
T1 - Semi-stable processes on local fields
AU - Yasuda, Kumi
N1 - Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.
PY - 2006/9
Y1 - 2006/9
N2 - Some characters of semi-stable stochastic processes on local fields such as epochs, spans, and indices are given, and differences in nature from the corresponding objects for Euclidean spaces are clarified. Criteria for the recurrence and for the polarity of one point sets are given, and it is shown that semi-stable processes are characterized as limits of suitably scaled sums of independent identically distributed random variables.
AB - Some characters of semi-stable stochastic processes on local fields such as epochs, spans, and indices are given, and differences in nature from the corresponding objects for Euclidean spaces are clarified. Criteria for the recurrence and for the polarity of one point sets are given, and it is shown that semi-stable processes are characterized as limits of suitably scaled sums of independent identically distributed random variables.
KW - Limit theorem
KW - Local field
KW - Semi-stable processes
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U2 - 10.2748/tmj/1163775138
DO - 10.2748/tmj/1163775138
M3 - Article
AN - SCOPUS:33751030519
SN - 0040-8735
VL - 58
SP - 419
EP - 431
JO - Tohoku Mathematical Journal
JF - Tohoku Mathematical Journal
IS - 3
ER -