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Communications of the Korean Mathematical Society
Journal Basic Information
pISSN :
1225-1763
eISSN :
2234-3024
Journal DOI :
10.4134/CKMS
Frequency :
Others
Publisher:
The Korean Mathematical Society
Editor in Chief :
Seoung Dal Jung
Volume & Issues
Volume 14, Issue 4 - Oct 1999
Volume 14, Issue 3 - Jul 1999
Volume 14, Issue 2 - Apr 1999
Volume 14, Issue 1 - Jan 1999
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1
A LAW OF ITERATED LOGARITHM FOR OCCUPATION TIME BROWNIAN IN ι
Cho, Nhan-Sook ;
Communications of the Korean Mathematical Society, volume 14, issue 3, 1999, Pages 569~579
Abstract
We consider a random measure defined by the occu-pation time of Brownian motion in ι
. If it is normalized λ
log λthen we show that its cluster set as λlongrightarrow
can be represented by Ι-function on
-finite measure in ι
2
THE UNIFORM CLT FOR MARTINGALE DIFFERENCE OF FUNCTION-INDEXED PROCESS UNDER UNIFORMLY INTEGRABLE ENTROPY
Bae, Jong-Sig ; Choi, Moon-Joo ;
Communications of the Korean Mathematical Society, volume 14, issue 3, 1999, Pages 581~595
Abstract
In the present paper we provide a short of the uni-form CLT for the function-indexed martingale difference process under the uniformly integrable entropy by establishing a maximal inequality.
3
A CLT FOR WEAKLY DEPENDENT RANDOM FIELDS
Jeon, Tae-Il ;
Communications of the Korean Mathematical Society, volume 14, issue 3, 1999, Pages 597~609
Abstract
In this article we prove a central limit theorem for strictly stationary weakly dependent random fields with some interlaced mix-ing conditions. Mixing coefficients are not assumed. The result it basically the same to Peligrad([4]), which is CLT weakly depen-dent arrays of random variables. The proof is quite similar to the of Peligrad.
4
MAP/G/1/K QUEUE WITH MULTIPLE THRESHOLDS ON BUFFER
Choi, Doo-Il ;
Communications of the Korean Mathematical Society, volume 14, issue 3, 1999, Pages 611~625
Abstract
We consider ΜΑΡ/G/ 1 finite capacity queue with mul-tiple thresholds on buffer. The arrival of customers follows a Markov-ian arrival process(MAP). The service time of a customer depends on the queue length at service initiation of the customer. By using the embeded Markov chain method and the supplementary variable method, we obtain the queue length distribution ar departure epochs and at arbitrary epochs. This gives the loss probability and the mean waiting time by Little's law. We also give a simple numerical examples to apply the overload control in packetized networks.
5
FUNCTIONAL CENTRAL LIMIT THEOREMS FOR THE GIBBS SAMPLER
Lee, Oe-Sook ;
Communications of the Korean Mathematical Society, volume 14, issue 3, 1999, Pages 627~633
Abstract
Let the given distribution
have a log-concave density which is proportional to exp(-V(x)) on R\ulcorner. We consider a Markov chain induced by the method Gibbs sampling having
as its in-variant distribution and prove geometric ergodicity and the functional central limit theorem for the process
6
FUNCTIONAL CENTRAL LIMIT THEOREMS FOR THE GIBBS SAMPLER
Lee, Ae Suk ;
Communications of the Korean Mathematical Society, volume 14, issue 3, 1999, Pages 629~629
Abstract
7
AN IDENTITY INVOLVING THE CENERALIZED HYPERGEOMETRIC SERIES
Cho, Young-Joon ; Seo, Tae-Young ;
Communications of the Korean Mathematical Society, volume 14, issue 3, 1999, Pages 635~639
Abstract
We provide a generalization of Whipple's Whipple's quadratic transformation formula for
F
.
8
SUME OF CERTAIN CLASSES OF SERIES
Choi, June-Sang ; Peter.Zofnig ; A.K.Rathie ;
Communications of the Korean Mathematical Society, volume 14, issue 3, 1999, Pages 641~647
Abstract
The object of this note is to give sums of certain families of series which are initiated from their special cases considered here. Pelevant connections of the series identities presented here with those given elsewhere are also pointed out.