• Journal of the Korean Data and Information Science Society
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• 제11권1호
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• pp.31-35
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• 2000

We shall give upper and lower bounds of the odds ratio of an event by a slight condition of the conditional probability of events.

• Communications for Statistical Applications and Methods
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• 제21권3호
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• pp.201-212
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• 2014

We provide a simple basic method to find bounds for higher order moments of unimodal distributions in terms of lower order moments when the random variable takes value in a given finite real interval. The bounds for moments in terms of the geometric mean of the distribution are also derived. Both continuous and discrete cases are considered. The bounds for the ratio and difference of moments are obtained. The special cases provide refinements of several well-known inequalities, such as Kantorovich inequality and Krasnosel'skii and Krein inequality.

• 한국통신학회논문지
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• 제33권11C호
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• pp.880-882
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• 2008

This paper presents LDPC codes' upper bounds over the waterfall SNR region. The previous researches have focused on the average bound or ensemble bound over the whole SNR region and showed the performance differences for the fixed block size. In this paper, the particular LDPC codes' upper bounds for various block sizes are calculated over the waterfall SNR region and are compared with BP decoding performance. For different block sizes the performance degradation of BP decoding is shown.

• Journal of Communications and Networks
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• 제18권2호
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• pp.182-189
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• 2016

The focus in this paper is on obtaining tight, simple algebraic-form bounds and invertible expressions for the average symbol error probability (ASEP) of M-ary phase shift keying (MPSK) in a class of composite fading channels. We employ the mixture gamma (MG) distribution to approximate the signal-to-noise ratio (SNR) distributions of fading models, which include Nakagami-m, Generalized-K ($K_G$), and Nakagami-lognormal fading as specific examples. Our approach involves using the tight upper and lower bounds that we recently derived on the Gaussian Q-function, which can easily be averaged over the general MG distribution. First, algebraic-form upper bounds are derived on the ASEP of MPSK for M > 2, based on the union upper bound on the symbol error probability (SEP) of MPSK in additive white Gaussian noise (AWGN) given by a single Gaussian Q-function. By comparison with the exact ASEP results obtained by numerical integration, we show that these upper bounds are extremely tight for all SNR values of practical interest. These bounds can be employed as accurate approximations that are invertible for high SNR. For the special case of binary phase shift keying (BPSK) (M = 2), where the exact SEP in the AWGN channel is given as one Gaussian Q-function, upper and lower bounds on the exact ASEP are obtained. The bounds can be made arbitrarily tight by adjusting the parameters in our Gaussian bounds. The average of the upper and lower bounds gives a very accurate approximation of the exact ASEP. Moreover, the arbitrarily accurate approximations for all three of the fading models we consider become invertible for reasonably high SNR.

• Journal of the Korean Statistical Society
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• 제23권1호
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• pp.187-198
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• 1994

We derive a new Cramer-Rao type lower bound for the reciprocal of the density height of the median-unbiased estimators which improves most of the previous lower bounds and is attainable under much weaker conditions. We also identify useful necessary and sufficient condition for the attainability of the lower bound which is considerably weaker than those for the mean-unbiased estimators. It is shown that these lower bounds are attained not only for the family of continuous distributions with monotone likelihood ratio (MLR) property but also for the location and scale families with strong unimodal property.

• 대한수학회지
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• 제48권3호
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• pp.655-667
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• 2011

A class of functions involving divided differences of the psi and tri-gamma functions and originating from Kershaw's double inequality are proved to be completely monotonic. As applications of these results, the monotonicity and convexity of a function involving the ratio of two gamma functions and originating from the establishment of the best upper and lower bounds in Kershaw's double inequality are derived, two sharp double inequalities involving ratios of double factorials are recovered, the probability integral or error function is estimated, a double inequality for ratio of the volumes of the unit balls in $\mathbb{R}^{n-1}$ and $\mathbb{R}^n$ respectively is deduced, and a symmetrical upper and lower bounds for the gamma function in terms of the psi function is generalized.

• Journal of the Korean Statistical Society
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• 제25권4호
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• pp.489-497
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• 1996

Lower bounds for the full level probabilities are derived under order restrictions in weights. Discussions are made on typical isotonic cones such as linear order, simple tree order, and unimodal order cones. We also discuss applications of these results for constructing conditional likelihood ratio tests for ordered hypotheses in a contingency table. A real data set on torus mandibularis will be analyzed for illustrating the testing procedure.

• 한국통신학회논문지
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• 제25권5B호
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• pp.797-808
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• 2000

이 논문에서는 강우 페이딩 환경하에서 Ka 밴드 위성을 사용하는 비대칭 8PSK 트랠리스 부호(Trellis-Coded Asymmetric 8PSK : TC-A8PSK)의 BER 상한을 제시한다. 대수정규분포 강우감쇠 모델을 이용하여 강우 페이딩 PDF를 새롭게 유도하고 Crane 모델의 강우강도 데이터에 근거하여 강우 페이딩 파라미터를 계산한다. 나아가 TCM 상태수와 CSI 유무에 따른 TC-A8PSK 시스템의 BER 상한을 각각 분석하고 그 성능을 비교한다. 과거 Divsalar와 Simon[9]에 의해 라이시안 페이딩 채널에서 2 상태 TCM 시스템의 BER 상한이 분석된 바 있으나 강우 페이딩 채널에서 TCM 시스템의 BER 상한을 분석한 것은 이 논문이 처음이다. 최종적으로 강우 페이딩 채널에서 TC-A8PSK 위성시스템의 BER 상한에 지배적인 영향을 미치는 요소는 사용주파수, 강우강도, 앙각, 신호전력대 잡음전력비, 비대칭 성좌각, 그리고 CSI 6가지로 요약 할 수 있다.

• 한국통신학회논문지
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• 제31권12A호
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• pp.1223-1228
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• 2006

본 논문에서는 독립적이며 주파수 비선택적인 정적 MIMO Rayleigh 페이딩 채널 가정 하에 다중사용자 다이버시티가 적용된 MRT/MRC MIMO의 capacity bound를 closed-form 형태의 수식으로 표현하였다. 분석 결과는 수치 검증 결과와 정확히 일치하며 MRT/MRC가 다중 사용자 다이버시티에 미치는 영향을 명확히 보여준다.

• 국제지역연구
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• 제15권2호
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• pp.101-123
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• 2011

본 연구는 한국, 미국, 및 일본간의 상호무역에서 요소가격균등화가 성립되는가를 ARDL모형에 의한 bounds test로 분석하여 요소가격균등화(factor price equalization, FPE)의 동일성(equality)과 수렴성(convergence)을 검정하려는 시도이다. 실증분석결과에 의하면 국제화가 심화됨에 따라 국가간 무역에서 시현될 가능성이 높아진 요소가격균등화는 무역규모에 있어서 상대적으로 대국인 미국이나 일본보다는 한국과 같은 소국에서 나타나며, 실질변수 보다는 명목변수를 통한 조정과정이 용이한 것으로 분석되었다. 그리고 국가간에 노동이나 자본과 같은 생산요소가 직접적으로 이동하는 단기적인 효과가 요소가격균등화에 미치는 영향은 미미한 것으로 분석되어 요소가격균등화가 장기적인 경제현상임을 알 수 있다. 따라서 우리나라의 경우 교역비중이 높은 미국, 일본, 중국, 및 EU 등과의 무역정책과 기타 국가와의 무역정책은 선별적으로 수립해야 하고, 또한 보다 장기적인 차원에서 시행하여야 할 것이다.