Estimation of several types of correlation information between sound and electromagnetic waves leaked from VDT environment based on the introduction of fuzzy probability and the prediction of probability distribution

2003 ◽  
Author(s):  
Akira Ikuta ◽  
Mitsuo Ohta ◽  
Seijiro Hiromitsu
Keyword(s):  
Probability Distribution ◽  
Electromagnetic Waves ◽  
Fuzzy Probability ◽  
Correlation Information

scholarly journals Electromagnetic Waves Through Disordered Systems: Comparison of Intensity, Transmission and Conductance

2001 ◽  
Vol 694 ◽  
Author(s):  
Fredy R Zypman ◽  
Gabriel Cwilich
Keyword(s):  
Probability Distribution ◽  
Disordered Systems ◽  
Electromagnetic Waves ◽  
Delta Function ◽  
Rayleigh Distribution ◽  
Dirac Delta Function ◽  
Universal Form ◽  
Dirac Delta ◽  
Diffusive Regime ◽  
Analytical Expressions

AbstractWe obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities x, follow a universal form, YU(x) = xne−xμ. This family of functions includes the Rayleigh distribution (when α=0, μ=1) and the Dirac delta function (α →+ ∞), which are the expressions for intensity and transmission in the diffusive regime neglecting correlations. Finally, we find simple analytical expressions for the nth moment of the distributions and for to the ratio of the moments of the intensity and transmission, which generalizes the n! result valid in the previous case.

FOUR MODELS TO CALCULATE A FUZZY PROBABILITY DISTRIBUTION WITH A SMALL SAMPLE

2007 ◽  
Vol 06 (04) ◽  
pp. 611-623 ◽  
Author(s):  
CHONGFU HUANG ◽  
TIAN ZONG ◽  
ZHIFEN CHEN
Keyword(s):  
Probability Distribution ◽  
Natural Disaster ◽  
Small Sample ◽  
Fuzzy Probability ◽  
System Calls ◽  
Fuzzy Methods ◽  
Disaster System

The need to cope with complicated natural disaster system calls for a sophisticated way of analyzing it with the help of fuzzy methods. Therefore, four models are suggested succeedingly to represent a fuzzy probability distribution with a small sample. In this paper, we inspect the four models in detail and evaluate their performance on an emulation test.

scholarly journals Statistical Signal Processing by Using the Higher-Order Correlation between Sound and Vibration and Its Application to Fault Detection of Rotational Machine

2008 ◽  
Vol 2008 ◽  
pp. 1-7 ◽  
Author(s):  
Hisako Masuike ◽  
Akira Ikuta
Keyword(s):  
Signal Processing ◽  
Probability Distribution ◽  
Time Domain ◽  
Statistical Signal Processing ◽  
Higher Order ◽  
Orthogonal Expansion ◽  
Mutual Relationship ◽  
Diagnosis Method ◽  
Correlation Information ◽  
Multidimensional Probability

In this study, a stochastic diagnosis method based on the changing information of not only a linear correlation but also a higher-order nonlinear correlation is proposed in a form suitable for online signal processing in time domain by using a personal computer, especially in order to find minutely the mutual relationship between sound and vibration emitted from rotational machines. More specifically, a conditional probability hierarchically reflecting various types of correlation information is theoretically derived by introducing an expression on the multidimensional probability distribution in orthogonal expansion series form. The effectiveness of the proposed theory is experimentally confirmed by applying it to the observed data emitted from a rotational machine driven by an electric motor.

Study on Fire Accident of Cotton Plant Based on L-R Fuzzy Numerals

2013 ◽  
Vol 716 ◽  
pp. 581-585
Author(s):  
Jin Feng Zhang ◽  
Yan Min Zheng
Keyword(s):  
Probability Distribution ◽  
Reliability Analysis ◽  
Cotton Plant ◽  
Fuzzy Number ◽  
Fault Tree ◽  
Fuzzy Probability ◽  
Fuzzy Information ◽  
Field Equipment ◽  
Fire Accidents ◽  
Fire Accident

A reliability analysis on fire accident was made by using the L-R fuzzy number with the function of fuzzy fault tree theory. According to the statistics of running condition of field equipment and the fuzzy information provided by expert experience, the fault tree of fire accident in the cotton plant was built, and the fuzzy probability distribution of the explosion was gained. The structural importance of each basic event also was analyzed, and the most important factors which influence the system were established. It provides a new way and means for the safety analysis of the system and preventing fire accidents.

scholarly journals A comparison of the Normal and Laplace distributions in the models of fuzzy probability distribution for portfolio selection

2020 ◽  
Vol 8 (5) ◽  
pp. 183-198
Author(s):  
Marcus Pinto da Costa da Rocha ◽  
Lucelia M. Lima ◽  
Valcir J. C. Farias ◽  
Benjamin Bedregal ◽  
Heliton R. Tavares
Keyword(s):  
Probability Distribution ◽  
Normal Distribution ◽  
Portfolio Selection ◽  
Real Data ◽  
Laplace Distribution ◽  
Fuzzy Probability ◽  
Variance Model ◽  
Risk Rate ◽  
Mean Variance ◽  
Fuzzy Normal Distribution

The propose of this work is applied the fuzzy Laplace distribution on a possibilistic mean-variance model presented by Li et al which appliehe fuzzy normal distribution. The theorem necessary to introduce the Laplace distribution in the model was demonstrated. It was made an analysis of the behavior of the fuzzy normal and fuzzy Laplace distributions on the portfolio selection with VaR constraint and risk-free investment considering real data. The results showns that were not difference in assets selection and in return rate, however, There was a change in the risk rate, which was higher in the Laplace distribution than in the normal distribution.

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