• Communications for Statistical Applications and Methods
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• 제5권2호
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• pp.307-313
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• 1998

The entropy measure is considered to denote the uncertainty of order statistics filters and choose the length of consecutive order statistic filters. However, it needs much calculations to get the amount of the entropy of all possible sets of consecutive order statistics, and the results of those calculations return many numerical values. Thus we provide an efficient graphical presentation of those numerical values, which make it easy to understand the distribution of the entropy among order statistics.

• Communications for Statistical Applications and Methods
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• 제6권2호
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• pp.397-402
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• 1999

We first derive the Fisher information identity in order statistics in terms of the hazard rate by considering the Fisher information identity in terms of the hazard rate (Efron and Johnstone, 1990). Then we use the identity and show an interesting and useful result that some identities and recurrence relations for the Fisher information in order statistics can be directly obtained from those between the c.d.f.s of order statistics.

• Journal of the Korean Statistical Society
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• 제25권2호
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• pp.255-263
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• 1996

Let $(X_{1j}, X_{2j}, … , X_{nj}, Y_j/)$j = 1, 2, … , n, be a sample of size n on an (m + l)-dimensional vector $(X_1, X_2, … , X_m, Y)$, m .geq. 1. If $Y_{(r)}$ denote the rth order statistic from Y, then the $X_{[r:n]}$ paired with $Y_(r)$ is termed the concomitant vector of the order statistics. The general distributions of concomitant of order statistics will be found. The mean, variance and covariance of$X_{[r:n]}$ Will be studied. Then we will apply the results to the multivariate normal variate case.e.

• Communications for Statistical Applications and Methods
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• 제20권1호
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• pp.1-13
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• 2013

This paper introduces an extended version of ${\kappa}$-records. Kullback-Leibler (K-L) information between two generalized distributions arising from ${\kappa}$-records is derived; subsequently, it is shown that K-L information does not depend on the baseline distribution. The behavior of K-L information for order statistics and ${\kappa}$-records, is studied. The exact expressions for K-L information between distributions of order statistics and upper (lower) ${\kappa}$-records are obtained and some special cases are provided.

• Journal of the Korean Statistical Society
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• 제31권3호
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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.

• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.225-238
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• 2006

Generalized order statistics (gos) introduced by Kamps [8] as a unified approach to several models of order random variables (rv's), e.g., (ordinary) order statistics (oos), records, sequential order statistics (sos). In a wide subclass of gos, included oos and sos, the possible limit distribution functions (df's) of the maximum gos are obtained in Nasri-Roudsari [10]. In this paper, for this subclass, as the df of the suitably normalized extreme gos converges on an interval [c, d] to one of possible limit df's of the extreme gos, the continuation of this (weak) convergence on the whole real line to this limit df is proved.

• 한국음향학회지
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• 제33권1호
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• pp.81-86
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• 2014

본 논문은 음악신호의 옥타브 밴드 상에서 주파수와 시간 방향의 순서 통계량에 기반한 음악분류기에 대한 연구이다. 음악의 화음 및 강약 구조를 표현하기 위해서 파워스펙트럼의 옥타브 밴드 순서 통계량을 이용하였다. 널리 사용되고 있는 두 음악 데이터셋을 이용한 성능 실험을 통해서, 옥타브 밴드 순서 통계량이 기존의 MFCC 와 옥타브밴드 스펙트럼 고저차 특징에 비해서 두 데이터셋에대해 각각 2.61 %와 8.9 % 장르 분류정확도가 개선되었다. 실험결과는 옥타브 밴드 순서 통계량이 음악 장르 분류에 적합함을 보인다.

• 대한수학회보
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• 제51권5호
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• pp.1399-1409
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• 2014

In this article, we establish the $\mathfrak{F}_p$-uniform moderate deviation principles of the sample quantiles and order statistics for a sequence of independent and identically distributed samples.

• Journal of the Korean Data and Information Science Society
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• 제14권4호
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• pp.1031-1044
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• 2003

In this paper, we establish some recurrence relations of the moments, product moments, percentage points, and modes of order statistics from the transformed exponential distribution.

• Communications for Statistical Applications and Methods
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• 제2권2호
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• pp.227-230
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• 1995

In this paper, we discuss simple ways of implementing non-basic kernel density estimators which typically ceed extra pilot estimation. The methods utilize order statistics at the pilot estimation stages. We focus mainly on bariable lacation and scale kernel density estimator (Jones, Hu and McKay, 1994), but the same idea can be applied to other methods too.