• 한국신뢰성학회:학술대회논문집
• /
• 한국신뢰성학회 2004년도 정기학술대회
• /
• pp.167-175
• /
• 2004

A nonparametric procedure is proposed to test the exponentiality against the hypothesis that one life distribution has a greater residual life times than the other life distribution. Such a hypothesis turns out to be equivalent to the one that one failure rate is greater than the other and so the proposed test works as a competitor to more IFR tests by Kochar (1979, 1981) and Cheng (1985). Our test statistic utilizes the U-statistics theory and a large sample nonpara metric test is established. The power of the proposed test is discussed by calculating the Pitman asymptotic relative efficiencies against several alter native hypotheses. A numerical example is presented to exemplify the proposed test.

• Journal of the Korean Statistical Society
• /
• 제18권2호
• /
• pp.97-106
• /
• 1989

We consider two semiparametric regression lines where the density of the error terms are unknown. We give simultaneous estimatros of the differences of intercepts and slopes which turn out to be asymptotically minimax as well as efficient in semiparametric sense.

• International Journal of Reliability and Applications
• /
• 제10권2호
• /
• pp.81-88
• /
• 2009

A non-parametric procedure is presented for testing exponentially against used better than aged in convex ordering class (UBAC) of life distributions based on u-test. Convergence of the proposed statistic to the normal distribution is proved. Selected critical values are tabulated for sample sizes 5(5)40. The Pitman asymptotic relative efficiency of my proposed test to tests of other classes is studied. An example of 40 patients suffering from blood cancer disease demonstrates practical application of the proposed test.

• 응용통계연구
• /
• 제22권1호
• /
• pp.17-28
• /
• 2009

본 연구에서는 한미간 경기동향의 선행성을 주가와 경기간 선행성과 연계시켜 검정해 보았다. 이들의 선후행관계는 외환위기 이후 선명히 식별되며, 이때의 벡터자기회귀모형은 국내외 시장변수들간 연관성이 강화되고 국내경제의 대미의존도가 높아진 현실을 그대로 반영한다. 추정결과는 주가의 경기 선행성과 미국경기의 국내경기 선행성이라는 그간의 통설을 통계적으로 입증하고 있다.

• Journal of applied mathematics & informatics
• /
• 제29권5_6호
• /
• pp.1541-1547
• /
• 2011

In this paper, using B.Ricceri's three critical points theorem, we prove the existence of at least three classical solutions for the problem $$\{u^{(4)}(t)={\lambda}f(t,\;u(t)),\;t{\in}(0,\;1),\\u(0)=u(1)=u^{\prime}(0)=u^{\prime}(1)=0,$$ under appropriate hypotheses.

• 한국도서관정보학회지
• /
• 제30권3호
• /
• pp.1-25
• /
• 1999

The purpose of this study is to make observation of the Presidential Libraries in U.S. their system and related raws asnd regulations. And to investigate the current statistics and situations of George Bush Library with ten U.S. Presidential Libraries and Nixon Presidential materials Staff. So to establish appropriate 'Presidential Library' in Korea.

• Journal of Information Science Theory and Practice
• /
• 제4권4호
• /
• pp.64-74
• /
• 2016

In this paper we define a two parametric new generalized useful average code-word length $L_{\alpha}^{\beta}$(P;U) and its relationship with two parametric new generalized useful information measure $H_{\alpha}^{\beta}$(P;U) has been discussed. The lower and upper bound of $L_{\alpha}^{\beta}$(P;U), in terms of $H_{\alpha}^{\beta}$(P;U) are derived for a discrete noiseless channel. The measures defined in this communication are not only new but some well known measures are the particular cases of our proposed measures that already exist in the literature of useful information theory. The noiseless coding theorems for discrete channel proved in this paper are verified by considering Huffman and Shannon-Fano coding schemes on taking empirical data. Also we study the monotonic behavior of $H_{\alpha}^{\beta}$(P;U) with respect to parameters ${\alpha}$ and ${\beta}$. The important properties of $H_{{\alpha}}^{{\beta}}$(P;U) have also been studied.

• Communications for Statistical Applications and Methods
• /
• 제3권3호
• /
• pp.187-194
• /
• 1996

We treat the problem of estimating reliability R = P[Y < X] in the stress-strength model in which a unit of strength X is subfected to enviromental stress Y./ In this paper several nonparametric approaches to estimation of R are analyzed and compared by simulations.

• Journal of the Korean Statistical Society
• /
• 제27권1호
• /
• pp.91-100
• /
• 1998

A method of estimating probability density using regression tools is presented here. It is based on equal-length binning and locally weighted approximate likelihood for bin counts. The method is particularly useful for densities with bounded supports, where it automatically corrects edge effects without using boundary kernels.

• Communications for Statistical Applications and Methods
• /
• 제16권5호
• /
• pp.813-820
• /
• 2009

In this paper, we review the utility-based generalization of the Shannon entropy and Kullback-Leibler information measure as the U-entropy and the U-relative entropy that was introduced by Friedman et al. (2007). Then, we derive some relations between the U-relative entropy and other information measures based on a parametric family of utility functions.