Estimating the expected value of fuzzy random variables in random samplings from finite populations

作者: M. Asunción Lubiano , M. Angeles Gil

DOI: 10.1007/BF02929876

关键词: Algebraic formula for the varianceMixture distributionMathematicsStandard normal deviateRandom elementMultivariate random variableRandom variateSum of normally distributed random variablesStatisticsRandom field

摘要: In this paper we consider the problem of estimating expected value a fuzzy-valued random element in samplings from finite populations. To purpose, quantify associated sampling error by means parameterized measure have introduced previous paper. Keywords: Aumann's integral, fuzzy variable, variable, $$\bar \lambda $$ -mean squared dispersion, samplings, set.

参考文章(26)
Rudolf Kruse, Klaus Dieter Meyer, Statistics with vague data ,(1987)
Gerard Debreu, Integration of correspondences Proceedings of the Fifth Berkeley Symposium on Mathematical Statistics and Probability, Volume 2: Contributions to Probability Theory, Part 1. pp. 351- 372 ,(1967)
Jörg Gebhardt, María Angeles Gil, Rudolf Kruse, Fuzzy Set-Theoretic Methods in Statistics The Handbooks of Fuzzy Sets Series. pp. 311- 347 ,(1998) , 10.1007/978-1-4615-5645-9_10
Siegfried Gottwald, Hans Bandemer, Fuzzy sets, fuzzy logic, fuzzy methods with applications ,(1995)
Carlo Bertoluzza, Norberto Corral Blanco, Antonia Salas, On a new class of distances between fuzzy numbers soft computing. ,vol. 2, pp. 71- 84 ,(1995)
Dan Ralescu, Fuzzy Probabilities and their Applications to Statistical Inference international conference information processing. pp. 217- 222 ,(1994) , 10.1007/BFB0035953
J. Michael Hardin, Simulation, Knowledge-Based Computing, and Fuzzy Statistics Technometrics. ,vol. 31, pp. 129- 130 ,(1987) , 10.1080/00401706.1989.10488503
Madan L Puri, Dan A Ralescu, Fuzzy random variables Journal of Mathematical Analysis and Applications. ,vol. 114, pp. 409- 422 ,(1986) , 10.1016/0022-247X(86)90093-4
Anca L Ralescu, Dan A Ralescu, Probability and fuzziness Information Sciences. ,vol. 34, pp. 85- 92 ,(1984) , 10.1016/0020-0255(84)90018-5