• 대한수학회논문집
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• 제32권1호
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• pp.65-74
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• 2017

In this paper, we establish a unique common fixed point theorem for T-contraction of two self maps on generalized cone b-metric spaces with solid cone. The result of this paper improves and generalizes several well-known results in the literature. Two examples are also given to support the result.

• 대한수학회논문집
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• 제24권2호
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• pp.197-214
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• 2009

In this paper, we formulate the definition of compatible mappings of type (I) and (II) in intuitionistic fuzzy metric spaces and prove a common fixed point theorem by using the conditions of compatible mappings of type (I) and (II) in complete intuitionistic fuzzy metric spaces. Our results intuitionistically fuzzify the result of Cho, Sedghi, and Shobe [4].

• Korean Journal of Mathematics
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• 제28권2호
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• pp.169-189
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• 2020

A common fixed point result for weakly increasing mappings satisfying generalized contractive type in ordered partial S-metric spaces are derived. Also as an application of our results we consider a couple integral equations.to guarantee the existence of a common solution.

• Journal of the Korean Data and Information Science Society
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• 제18권1호
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• pp.247-257
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• 2007

In this paper, we develop the noninformative priors for the common shape parameter in the gamma distributions. We develop the matching priors and reveal that the second order matching prior does not exist. It turns out that the one-at-a-time reference prior and the two group reference prior satisfy a first order probability matching criterion. Some simulation study is peformed.

• Journal of the Korean Data and Information Science Society
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• 제16권4호
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• pp.791-799
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• 2005

We consider two components parallel system in which the lifetimes have the bivariate Pareto model with bivariate random censored data. We assume that bivariate Pareto model is affected by common stress which is independent of the lifetimes of the components. We obtain estimators for the system reliability based on likelihood function and relative frequency. Also we construct approximated confidence intervals for the reliability based on maximum likelihood estimator and relative frequency estimator, respectively. Finally we present a numerical study.

• Journal of the Korean Data and Information Science Society
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• 제15권4호
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• pp.981-992
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• 2004

In this paper, we develop the noninformative priors for the common scale parameter in the inverse gaussian distributions. We developed the first and second order matching priors. Next we revealed that the second order matching prior satisfies a HPD matching criterion. Also we showed that the second order matching prior matches alternative coverage probabilities up to the second order. It turns out that the one-at-a-time reference prior satisfies a second order matching criterion. Some simulation study is performed.

• Journal of applied mathematics & informatics
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• 제35권3_4호
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• pp.231-239
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• 2017

In this paper, we prove common fixed point theorems for $\mathcal{L}$-fuzzy mappings under implicit relation in b-metric spaces. Further, results obtained for an integral type contractive condition. These theorems generalize and improve previous corresponding results.

• 대한수학회논문집
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• 제24권1호
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• pp.17-27
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• 2009

In the present work, we introduce two types of compatible maps and prove a common fixed point theorem for such maps in Menger probabilistic metric spaces. Our result generalizes and extends many known results in metric spaces and fuzzy metric spaces.

• 대한안전경영과학회:학술대회논문집
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• 대한안전경영과학회 2009년도 추계학술대회
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• pp.549-555
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• 2009

The research proposes two calculation methods for estimating the overall, within and between standard deviation of population. These standard deviations can be used to evaluate the process capability and performance indexes. The guidelines for using $C_{PK}$ and $P_{PK}$ according to the pattern of common and assignable causes are presented.

• Journal of the Korean Data and Information Science Society
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• 제22권6호
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• pp.1241-1250
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• 2011

In this paper, we develop noninformative priors for the log-normal distributions when the parameter of interest is the common mean. We developed Jeffreys' prior, th reference priors and the first order matching priors. It turns out that the reference prior and Jeffreys' prior do not satisfy a first order matching criterion, and Jeffreys' pri the reference prior and the first order matching prior are different. Some simulation study is performed and a real example is given.