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Memory Ordering of Survival Functions
Authors:
N. B. Ebrahimi a;
Hassan Zahedi b
| Affiliations: | a Division of Statistics, Northern Illinois University, De Kalb, Illinois, U.S.A. |
| b Department of Statistics, Florida International University, Miami, Florida, U.S.A. |
DOI:
10.1080/02331889208802380
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
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(English)
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Abstract
A new partial ordering among life distributions in terms of their memories of aging is introduced. The relationship between this ordering and various existing orderings of life distributions are discussed. For example, it is shown that there is no relationship between memory ordering and failure rate ordering. Statistical procedure is developed to verify whether one survival function [ILM0001] has less (more) memory than the other survival function [ILM0002]
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| Keywords: Mean residual life function; hazard function; DMRL; IMRL; virtual age; local memory; interval memory; global memory; convex ordering; exponential distribution; normal distribution |
| AMS 1980 subject classifications: 62B10; 60G15 |
| view references (15) |
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