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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 한국신뢰성학회 International Journal of Reliability and Applications International Journal of Reliability and Applications 제15권 제1호
- 발행연도
- 2014.6
- 수록면
- 1 - 9 (9page)
이용수
초록· 키워드
오류제보하기
Let X and X<SUB>t</SUB> denote the lifetime and the residual life at age t , respectively. X is said to be a NBUL (new better than used in Laplace transform order) random variable if X<SUB>t</SUB> is smaller than X in Laplace order, i.e., X<SUB>t</SUB>≤<SUB>LT</SUB> X. We propose a new test statistics for testing exponentiality versus NBUL class of life distribution. The tests by Hollender and Proschan (1975) and the generalized Hollender and Proschan test by Ains and Mitra (2011) are considered as special cases of the our of test statistics. Our proposed test statistics is simple, consistent and asymptotically normal. Efficiency and powers of the test statistics for some commonly used distributions in reliability are discussed. Finally, real examples are presented to illustrate the theoretical results.
목차
Abstract
1. INTRODUCTION
2. TESTING EXPONENTIALITY VERSUS NBUL
3. THE ASYMPTOTIC DISTRIBUTION OF TEST STATISTICS
4. CONSISTENCY
5. PITMAN EFFICIENCY
6. THE POWER ESTIMATES OF THE TEST STATISTICS
7. EXAMPLES
8. CONCLUSIONS
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2016-323-001390088