• International Journal of Reliability and Applications
• /
• v.6 no.1
• /
• pp.1-12
• /
• 2005

A new test for testing that a life distribution is exponential against the alternative that it is harmonic new better (worse) than used in expectation upper tail HNBUET (HNWUET), but not exponential is presented based on the highly popular 'Kernel methods' of curve fitting. This new procedure is competitive with old one in the sense of Pitman's asymptotic relative efficiency, easy to compute and does not depend on the choice of either the band width or kernel. It also enjoys good power.

• Journal of Korea Society of Industrial Information Systems
• /
• v.5 no.2
• /
• pp.39-46
• /
• 2000

Recent]y van Es (1992) and Correa (1995) proposed an estimator of entropy. In this paper, we proposed the goodness of fit test statistics for exponentiality based on Vasicek's estimator and Correa's estimator of Kullback-Leibier Information. And we compare the power of the proposed test statistics with Kolmogorov-Sminov, Kuiper, Cramer von Mises, Watson, Andersen-Darling and Finkelstein and Schefer statistics.

• Journal of Korean Society for Quality Management
• /
• v.27 no.2
• /
• pp.143-151
• /
• 1999

In this thesis, a new test statistic is proposed for testing exponentiality against New Better than Used (NBU) alternatives. Our test statistic, which is based on a quadratic function of the order statistics from the sample, is readily applied in the case of small sample. Also, Our test statistic is more simple than the test statistic of Hollander and Proschan(1972).

• Journal of the Korean Data and Information Science Society
• /
• v.14 no.4
• /
• pp.951-963
• /
• 2003

In this paper, we propose goodness of fit test statistics based on the estimated Kullback-Leibler information functions using the data from three step stress accelerated life test. This acceleration model is assumed to be a tampered random variable model. The power of the proposed test under various alternatives is compared with Kolmogorov-Smirnov statistic, Cramer-von Mises statistic and Anderson-Darling statistic.

• Journal of Korean Society for Quality Management
• /
• v.19 no.2
• /
• pp.138-144
• /
• 1991

In this paper, we suggest the test statistic based on the total time on test (TTT-) transtorm for testing exponentiality against new better than used in convex ordering (NBUC) and its dual, new worse than used in convex ordering (NWUC). The validity of the test is examined by simulation for some alternative distributions when the sample size is n = 10 and n = 20.

• International Journal of Reliability and Applications
• /
• v.10 no.1
• /
• pp.59-62
• /
• 2009

We comment on a new testing procedure for testing exponentiality against different ageing classes. We show that the proposed test is inappropriate at least for two alternatives. We point out the subtle flaw in their argument.

• International Journal of Reliability and Applications
• /
• v.13 no.1
• /
• pp.49-56
• /
• 2012

Using total time on test transform (TTT), a new approach is taken for testing exponentiality versus the unknown age, exponential better than equilibrium life in convex ordering (EBELC). Selected critical values are tabulated for sample size n =2(2)50 and powers of the test are estimated for some commonly used distributions in reliability. Finally real example is presented to illustrate the theoretical results.

• The Korean Journal of Applied Statistics
• /
• v.14 no.2
• /
• pp.369-378
• /
• 2001

본 논문에서는, 신뢰성분석에서 고려되는 평균고장률의 추이에 관한 검정법에 대해 연구하였다. 즉, 수명분포가 지수분포를 따르는지 또는 수명분포의 평균고장률이 증가하는지를 검정하는 검정통계량을 제안하였다. 제안된 검정통계량은 순서통계량의 선형 함수의 형태로 이루어져 있고 대표본 뿐만 아니라 소표본에서도 쉽게 적용될 수 있다. 또한 제안된 검정통계량의 점근상대효율을 평가하기 위해, Klefsjo(1983)가 제안한 검정통계량과 비교하여 보았다.

• Journal of Korean Society for Quality Management
• /
• v.22 no.1
• /
• pp.152-161
• /
• 1994

In this paper we develop a test for alternatives representing decreasing mean residual life. The test statistic for decreasing mean residual life, $K_{1n}$, is a modified version of Hollander and Proschan's test $V^*$ and critical constants and large sample approximation are shown to make the test readily applicable. Consistency is also shown for the tests based on $K_{1n}$. And small sample powers for four alernatives are obtained.

• The Korean Journal of Applied Statistics
• /
• v.16 no.2
• /
• pp.395-406
• /
• 2003

In this thesis, we propose a test statistic for testing exponentiality against NBU alternatives. Our test statistics is based on a linear function of the order statistics and is readily applied in the case of small sample as well as large sample. The exact and asymptotic distribution of the test statistics is derived and asymptotic efficiencies are studied. Our new test is easier to compute and performs better for several alternatives than test of Hollander and Proschan(1972).