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On Expected Lengths of Predictive Intervals

Scandinavian Journal of Statistics, 2003
Abstract.  We consider the problem of comparing predictive intervals for a future observation via their expected lengths at a given confidence level. A higher order asymptotic theory is developed. This yields an explicit formula for expected length comparison and associated admissibility results. Illustrative examples are given.
Mukerjee, R., Chen, Z.
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Bootstrap confidence intervals for ratios of expectations

ACM Transactions on Modeling and Computer Simulation, 1999
We are concerned with computing a confidence interval for the ratioE[Y]/E[X, where (X,Y) is a pair of random variables. This ratio estimation problem arises in, for instance, regenerative simulation. As an alternative to confidence intervals based on asymptotic normality, we study and compare different variants of the bootstrap for one-sided and two ...
Denis Choquet   +2 more
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A NOTE ON THE CORRELATION OF FUZZY NUMBERS BY EXPECTED INTERVAL

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2001
In this paper, we propose a method to calculate the correlation coefficient of fuzzy numbers by means of "expected interval" (see [8], [9]). This value obtained from our formula tell us not only the strength of relationship between the fuzzy numbers, but also whether the fuzzy numbers are positively or negatively related.
Wen-Liang Hung, Jong-Wuu Wu
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Properties of the fuzzy expected value and the fuzzy expected interval

Fuzzy Sets and Systems, 1988
The evaluation of the fuzzy expected value (FEV) requires a complete knowledge about the domain of the evaluation, and the distribution of the population in that domain. Since it is not always possible to assume a complete knowledge about the domain, it is necessary to find some relaxations to the restrictions involving the evaluation of FEV.
Schneider, Moti, Kandel, Abraham
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PROPERTIES OF THE FUZZY EXPECTED VALUE AND THE FUZZY EXPECTED INTERVAL IN FUZZY ENVIRONMENT

Fuzzy Sets and Systems, 1988
Abstract The fuzzy expected value (FEV) over some domain measures the typical value of some object in that domain. The evaluation of FEV requires a complete knowledge about the domain of the evaluation, and the distribution of the population in that domain [1].
Moti Schneider, Abraham Kandel
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