• Journal of the Chungcheong Mathematical Society
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• v.27 no.3
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• pp.347-361
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• 2014

Generalized Pareto distribution play an important role in reliability, extreme value theory, and other branches of applied probability and statistics. This family of distribution includes exponential distribution, Pareto or Lomax distribution. In this paper, we established exact expressions and recurrence relations satised by the quotient moments of generalized order statistics for a generalized Pareto distribution. Further the results for quotient moments of order statistics and records are deduced from the relations obtained and a theorem for characterizing this distribution is presented.

• Journal of the Korean Statistical Society
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• v.28 no.3
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• pp.279-296
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• 1999

In this paper we establish some recurrence relations for both single and product moments of order statistics from a doubly truncated linear- exponential distribution with increasing hazard rate. These recurrence relations would enable one to compute all the higher order moments of order statistics for all sample sizes from those of the lower order in a simple recursive way. In addition, percentage points of order statistics are also discussed. These generalize the corresponding results for the linear- exponential distribution with increasing hazard rate derived by Balakrishnan and Malik(1986)

• Journal of applied mathematics & informatics
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• v.35 no.5_6
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• pp.477-493
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• 2017

The dual generalized order statistics is a unified model which contains the well known decreasingly ordered random variables like order statistics and lower record values. With this definition we give simple expressions for single and product moments of dual generalized order statistics from Dagum distribution. The results for order statistics and lower records are deduced from the relations derived and some computational works are also carried out. Further, a characterizing result of this distribution on using the conditional moment of the dual generalized order statistics is discussed. These recurrence relations enable computation of the means, variances and covariances of all order statistics for all sample sizes in a simple and efficient manner. By using these relations, we tabulate the means, variances, skewness and kurtosis of order statistics and record values of the Dagum distribution.

• Journal of Contemporary Eastern Asia
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• v.20 no.2
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• pp.138-156
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• 2021

The aim of this article is to describe direction of Sino-Russian relations toward a new epoch - as the decision-making centers of both countries define them - indicating the commitment to building the future international order. It includes the synthesis of evolution of relations, descriptions of cooperation building of mutual confidence by both sides in variety of institutions; analyses of geo-economic relations emphasizing their geostrategic dimension and finally dynamics showing how two great powers want to achieve new areas of cooperation focused on building multipolar world order which is the essence of "new epoch". The argument goes towards recognizing the relationship as a "hhybrid alliance". This hybridity is a structural factor that can constrain the use of new dimensions of asymmetric interdependence as political leverage especially by United States against the two non-western powers but also facilitate to use it against West.

• Journal of the Korean Statistical Society
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• v.31 no.3
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• pp.391-403
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• 2002

In this paper, some general results for obtaining recurrence relations between product moments of order statistics for doubly truncated distributions are established. These results are then applied to some specific doubly truncated distributions, viz. doubly truncated Weibull, Exponential, Pareto, power function, Cauchy, Lomax and Rayleigh.

• Kyungpook Mathematical Journal
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• v.55 no.3
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• pp.541-548
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• 2015

In this paper, concepts of quasi-normal and dually quasi-normal relations are introduced. Characterizations of these relations are obtained. In addition, particulary we show that the anti-order relation ${\nleqslant}$ ($={\leqslant}^C$) is a (dually) quasi-normal relation if and only if the partially ordered set (X, ${\leqslant}$) is an anti-chain.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.3
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• pp.441-451
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• 2013

In this paper, we derive recurrence relations for moments of lower generalized order statistics within a class of doubly truncated distributions. Inverse Weibull, exponentiated Weibull, power function, exponentiated Pareto, exponentiated gamma, generalized exponential, exponentiated log-logistic, generalized inverse Weibull, extended type I generalized logistic, logistic and Gumble distributions are given as illustrative examples. Further, recurrence relations for moments of order statistics and lower record values are obtained as special cases of the lower generalized order statistics, also two theorems for characterizing the general form of distribution based on single moments of lower generalized order statistics are given.

• Analyses & Alternatives
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• v.2 no.1
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• pp.107-125
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• 2018

This paper aims to elucidate the historical significance and issues about DPRK-Japan relations in terms of the Korean Peninsula-Japan relations. The first issue is the 'Treaty on Basic Relations between Japan and the Republic of Korea', and DPRK-Japan relations during the Cold War. The Relations Order between the Korean Peninsula and Japan, of 1965 ("65 Order), was closely linked with inter-Korean relations. The second issue is a critical re-interpretation of previous studies on the Stockholm agreement. Previous studies have focused on analyzing the question "Why did North Korea and Japan agree to Stockholm?", In other words, what was the intention of North Korea and Japan in Stockholm? This paper adds to raise the question of "How Did the Stockholm can be agreed?", to critically review the analysis performed by the previous studies. Through the analysis of this question, this paper reveals that the relationship between North Korea and Japan is on the qualitative change. And, based on this analysis, this paper argue that the South Korean government should attempt more active engagement and deploy more comprehensive approach to improve the relationship between North Korea and Japan.

• Korean Journal of Mathematics
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• v.17 no.4
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• pp.361-374
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• 2009

We characterize a fuzzy partial order relation using its level set, find sufficient conditions for the image of a fuzzy partial order relation to be a fuzzy partial order relation, and find sufficient conditions for the inverse image of a fuzzy partial order relation to be a fuzzy partial order relation. Also we define a fuzzy lattice as fuzzy relations, characterize a fuzzy lattice using its level set, show that a fuzzy totally ordered set is a distributive fuzzy lattice, and show that the direct product of two fuzzy lattices is a fuzzy lattice.

• Honam Mathematical Journal
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• v.43 no.1
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• pp.1-16
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• 2021

In this paper, we generalize the notion of soft congruence relations from rings to semirings. We construct some examples in order to show that these relations exist over semirings. Some properties of these relations are investigated.