Abstract
Hiroki Masuda, Graduate School of Mathematics, Kyushu University, presented an erratum on ergodicity and exponential βmixing bound for multidimensional diffusions with jumps. He clarified that in assumption 2(a), a bounded transition density of Y^{u}△ was supposed to exist, however, X△ was actually needed. In the proof of Lemma 2.4(i) q ∈ (0, 1) from the beginning, although the condition Lemma 2.4(i) contains q possibly lying in [1,2); this point does not affect Lemma 2.4(ii), while the assertion Af(x) ≥ Gf(x) + 0(1) fails. This point is needed to be modified. Moreover, the proof of Lemma 2.5 contains some mistakes in estimating J* f(x): what should be J* f(x).
Original language  English 

Pages (fromto)  676678 
Number of pages  3 
Journal  Stochastic Processes and their Applications 
Volume  119 
Issue number  2 
DOIs 

Publication status  Published  Feb 1 2009 
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All Science Journal Classification (ASJC) codes
 Statistics and Probability
 Modelling and Simulation
 Applied Mathematics
Cite this
Erratum to : "Ergodicity and exponential β mixing bound for multidimensional diffusions with jumps" [Stochastic Process. Appl. 117 (2007) 3556] (DOI:10.1016/j.spa.2006.04.010). / Masuda, Hiroki.
In: Stochastic Processes and their Applications, Vol. 119, No. 2, 01.02.2009, p. 676678.Research output: Contribution to journal › Comment/debate
}
TY  JOUR
T1  Erratum to
T2  "Ergodicity and exponential β mixing bound for multidimensional diffusions with jumps" [Stochastic Process. Appl. 117 (2007) 3556] (DOI:10.1016/j.spa.2006.04.010)
AU  Masuda, Hiroki
PY  2009/2/1
Y1  2009/2/1
N2  Hiroki Masuda, Graduate School of Mathematics, Kyushu University, presented an erratum on ergodicity and exponential βmixing bound for multidimensional diffusions with jumps. He clarified that in assumption 2(a), a bounded transition density of Yu△ was supposed to exist, however, X△ was actually needed. In the proof of Lemma 2.4(i) q ∈ (0, 1) from the beginning, although the condition Lemma 2.4(i) contains q possibly lying in [1,2); this point does not affect Lemma 2.4(ii), while the assertion Af(x) ≥ Gf(x) + 0(1) fails. This point is needed to be modified. Moreover, the proof of Lemma 2.5 contains some mistakes in estimating J* f(x): what should be J* f(x).
AB  Hiroki Masuda, Graduate School of Mathematics, Kyushu University, presented an erratum on ergodicity and exponential βmixing bound for multidimensional diffusions with jumps. He clarified that in assumption 2(a), a bounded transition density of Yu△ was supposed to exist, however, X△ was actually needed. In the proof of Lemma 2.4(i) q ∈ (0, 1) from the beginning, although the condition Lemma 2.4(i) contains q possibly lying in [1,2); this point does not affect Lemma 2.4(ii), while the assertion Af(x) ≥ Gf(x) + 0(1) fails. This point is needed to be modified. Moreover, the proof of Lemma 2.5 contains some mistakes in estimating J* f(x): what should be J* f(x).
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U2  10.1016/j.spa.2008.02.010
DO  10.1016/j.spa.2008.02.010
M3  Comment/debate
AN  SCOPUS:59049086894
VL  119
SP  676
EP  678
JO  Stochastic Processes and their Applications
JF  Stochastic Processes and their Applications
SN  03044149
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