• Communications for Statistical Applications and Methods
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• 제7권2호
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• pp.371-383
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• 2000

Lindsay (1994) and Basu et al (1997) show that another density-based distance called the negative exponential disparity (NED) is an excellent competitor to the Hellinger distance (HD) in generating an asymptotically fully efficient and robust estimator. Bhattacharya and Basu (1996) consider estimation of the locations of several normal populations when an order relation between them is known to be true. They empirically show that the robust HD based weighted likelihood estimators compare favorably with the M-estimators based on Huber's $\psi$ function, the Gastworth estimator, and the trimmed mean estimator. In this paper we investigate the performance of the weighted likelihood estimator based on the NED as a robust alternative relative to that based on the HD. The NED based estimator is found to be quite competitive in the settings considered by Bhattacharya and Basu.

• Journal of the Korean Data and Information Science Society
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• 제20권5호
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• pp.941-948
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• 2009

We consider a life testing experiment in which several two component shared parallel system are put on test, and the test is terminated at a specified number of system failures. The bivariate data obtained from such a system level life testing can be classified into three classes: (1) the case of failed two components with known failure times, (2) the case of one censored component and the other failed component of which the failure time might be known or unknown, (3) the case of censored two components. In this thesis, the maximum likelihood estimators of parameters for Block and Basu bivariate exponential distribution under above censoring scheme are obtained. And the results of comparative studies are presented.

• 품질경영학회지
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• 제22권3호
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• pp.124-141
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• 1994

The maximum likelihood estimator (M.L.E.) and the Bayes estimators of Pr (X < Y) are derived when X and Y have a absolutely continuous bivariate exponential distribution in Block & Basu's model. The performances of M.L.E. are compared to those Bayes estimators for moderate sample size.

• Communications for Statistical Applications and Methods
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• 제5권2호
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• pp.517-529
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• 1998

When the sample size is small the robust minimum Hellinger distance (HD) estimator can have substantially poor relative efficiency at the true model. Similarly, approximating the exact null distributions of the ordinary Hellinger distance tests with the limiting chi-square distributions can be quite inappropriate in small samples. To overcome these problems Harris and Basu (1994) and Basu et at. (1996) recommended using a modified HD called penalized Hellinger distance (PHD). Lindsay (1994) and Basu et al. (1997) showed that another density based distance, namely the negative exponential disparity (NED), is a major competitor to the Hellinger distance in producing an asymptotically fully efficient and robust estimator. In this paper we investigate the small sample performance of the estimates and tests based on the NED and penalized NED (PNED). Our results indicate that, in the settings considered here, the NED, unlike the HD, produces estimators that perform very well in small samples and penalizing the NED does not help. However, in testing of hypotheses, the deviance test based on a PNED appears to achieve the best small-sample level compared to tests based on the NED, HD and PHD.

• 한국재료학회:학술대회논문집
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• 한국재료학회 1998년도 IUMRS-ICEM ABSTRACT BOOK
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• pp.90.3-90
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• 1998

• 한국재료학회:학술대회논문집
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• 한국재료학회 1998년도 IUMRS-ICEM ABSTRACT BOOK
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• pp.110.4-110
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• 1998

• Journal of the Korean Statistical Society
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• 제30권3호
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• pp.347-366
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• 2001

Robust analogues of the likelihood ratio test are considered for testing of hypotheses involving multiple discrete distributions. The test statistics are generalizations of the Hellinger deviance test of Simpson(1989) and disparity tests of Lindsay(1994), obtained by looking at a 'penalized' version of the distances; harris and Basu (1994) suggest that the penalty be based on reweighting the empty cells. The results show that often the tests based on the ordinary and penalized distances enjoy better robustness properties than the likelihood ratio test. Also, the tests based on the penalized distances are improvements over those based on the ordinary distances in that they are much closer to the likelihood ratio tests at the null and their convergence to the x$^2$ distribution appears to be dramatically faster; extensive simulation results show that the improvement in performance of the tests due to the penalty is often substantial in small samples.

• Journal of the Korean Data and Information Science Society
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• 제18권3호
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• pp.637-644
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• 2007

We consider a life testing experiment in which several two component shared parallel system are put on test, and the test is terminated at a pre-designed experiment. The bivariate data obtained from such a system level life testing can be classified into three cases: (1) the case of failed two components with known failure times, (2) the case of one censored component and the other failed component of which the failure time might be known or unknown, (3) the case of censored two components. In this paper, the maximum likelihood estimators of parameters for Block and Basu bivariate exponential model under above censoring scheme are obtained and the results of comparative studies are presented.

• 국제지역연구
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• 제15권3호
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• pp.239-261
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• 2011

생산성의 순환성문제는 거시경제학의 중요한 쟁점들 중의 하나이며 특히 경기변동이론에서 본질적인 개념으로 이해되고 있다. 생산성의 순환성문제에 관한 논의는 1990년대부터 생산성의 경기순행성(procyclicality)을 설명하려는 이론과 실증연구를 통하여 활발하게 진행되어 오고 있다. 솔로우 잔차항(Solow' residual)을 이용한 총요소생산성의 측정방식은 Solow (1957) 이후 다양하게 발전해왔다. 기본적인 솔로우 잔차항에 근거한 총요소생산성의 추정은 세 가지 점을 고려하지 않은 단점을 지니고 있다. 즉 표준적인 솔로우 잔차항에 근거한 총요소생산성은 완전경쟁시장, 규모의 보수불변 그리고 자원 의 완전고용을 전제로 추정되기 때문에 현실적으로 시장지배력(market power), 규모의 보수 증가, 노동과 자본의 유보문제 (labor and capital hoarding)를 고려하지 못하였다. 본 논문은 Hall(1990)과 Basu(1997)의 모형을 개방경제모형으로 확장하여 총요소생산성을 측정하고 한국경제의 생산성의 순응성 문제를 분석하였다. 분석기간은 1975-2010이며 분석되는 산업은 제조업과 전기가스와 운수통신의 서비스 산업이다. 분석결과, 요소이용률을 고려하고 원유수입물가지수를 도구변수로 사용한 2단계최소자승법에 의해서 추정된 총요소생산성은 제조산업과 전기가스에서 경기순행성(procyclicality)을 나타내고 있으며 요소이용율을 적용하는 경우, 경기순응적인 요소보다 경기역행적인 요소가 제거되었음을 밝히고 있다.

• Communications for Statistical Applications and Methods
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• 제4권2호
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• pp.549-556
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• 1997

본 논문에서는 Block과 Basu (1974)가 제안한 절대연속이변량지수분포(absolutely continuous bivariate exponential distribution : ACBVED)의 독립성검정에 대한 Score검정과 이 검정의 점근성을 높이기 위하여 Cordeiro와 Ferrari (1991)가 제시한 Bartlett수정항과 유사한 형태의 수정된 Score검정을 유도하였다. 그리고 수정된 Score검정의 점근성의 효과와 주변분포가 동일하다는 가정하에서 Gupta, Mehrotra와 Michalek (1984)가 제안한 우도비검정을 모의실험으로 비교하였다.