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Estimating the Deviation from Exponentiality Under Random Censorship.
- Source :
-
Communications in Statistics: Theory & Methods . Nov2003, Vol. 32 Issue 11, p2117-2137. 21p. - Publication Year :
- 2003
-
Abstract
- Let X be a nonnegative random variable with cumulative distribution function F. In this article, we introduce a concept of deviation from exponentiality for F, based on the Mean Residual Life function. Our aim is to estimate this deviation under the random censorship model. For this purpose, we propose two slightly different estimators. For each one, we determine the limit distribution of an appropriately normalized version. Then, this work leads to the construction of a test of H0 : F is exponential vs. H1 : F is not exponential. It is applied to the Koziol and Green data set (Koziol, S. A., Green, S. B. (1976). A cramer-von mises statistic for randomly censored data. Biometrika 23:465–474). [ABSTRACT FROM AUTHOR]
- Subjects :
- *EXPONENTIAL functions
*DEVIATION (Statistics)
*ESTIMATION theory
*STATISTICS
Subjects
Details
- Language :
- English
- ISSN :
- 03610926
- Volume :
- 32
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 10737449
- Full Text :
- https://doi.org/10.1081/STA-120024471