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- W808428404 abstract "In order to estimate a parameter , in a distribution belonging to a location-scale family we usually use best invariant estimator (BIE) and best unbiased estimator (BUE). But in some conditions Ryu (1996) showed that BIE is better than BUE. In this paper we calculate risks of BIE and BUE in a normal and an exponential distribution respectively and calculate a percentage risk improvement exponential distribution respectively and calculate a percentage risk improvement (PRI). We find the sample size n which make no significant differences between BIE and BUE in a normal distribution. And we show that BIE is always significantly better than BUE in an exponential distribution. Also simulation in a normal distribution is given to convince us of our result." @default.
- W808428404 created "2016-06-24" @default.
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- W808428404 date "1999-01-01" @default.
- W808428404 modified "2023-09-23" @default.
- W808428404 title "Comparison of Best Invariant Estimators with Best Unbiased Estimators in Location-scale Families" @default.
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