This article proposes an approximated Bayesian entropy estimator for a discrete random variable. An entropy estimator that achieves least square error is obtained through Bayesian estimation of the occurrence probabil...
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ISBN:
(纸本)0780384393
This article proposes an approximated Bayesian entropy estimator for a discrete random variable. An entropy estimator that achieves least square error is obtained through Bayesian estimation of the occurrence probabilities of each value taken by the discrete random variable. This Bayesian entropy estimator requires large amount of calculation cost if the randomvariable takes numerous sorts of values. Therefore, the present article proposes a practical method for calculating an Bayesian entropy estimate;the proposed method utilizes approximation of the entropy function by a truncated Taylor series. Numerical experiments demonstrate that the proposed entropy estimation method improves estimation precision of entropy remarkably in comparison to the conventional entropy estimation method.
This presentation describes a technique for generating a discrete random variable (DRV) for raindrop diameter when using a raindrop geometry model that is not continuous in nature. This can be applied to high-frequenc...
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ISBN:
(纸本)9781629935898
This presentation describes a technique for generating a discrete random variable (DRV) for raindrop diameter when using a raindrop geometry model that is not continuous in nature. This can be applied to high-frequency canonical problems such as satellite dish simulations, where modelling precipitation at the particulate level enhances the accuracy of the obtained results.
In this paper we propose an extension to the Fuzzy Cognitive Maps (FCMs) that aims at aggregating a number of reasoning tasks into a one parallel run. The described approach consists in replacing realvalued activation...
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ISBN:
(纸本)9783319393780;9783319393773
In this paper we propose an extension to the Fuzzy Cognitive Maps (FCMs) that aims at aggregating a number of reasoning tasks into a one parallel run. The described approach consists in replacing realvalued activation levels of concepts (and further influence weights) by randomvariables. Such extension, followed by the implemented software tool, allows for determining ranges reached by concept activation levels, sensitivity analysis as well as statistical analysis of multiple reasoning results. We replace multiplication and addition operators appearing in the FCM state equation by appropriate convolutions applicable for discrete random variables. To make the model computationally feasible, it is further augmented with aggregation operations for discrete random variables. We discuss four implemented aggregators, as well as we report results of preliminary tests.
The parameters of principal and directional extrema in a marine environment are important in marine engineering design, especially for appropriate construction of oceanic platforms and other structures. When designing...
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The parameters of principal and directional extrema in a marine environment are important in marine engineering design, especially for appropriate construction of oceanic platforms and other structures. When designing wave walls and break water structures, the orientation of the breakwater or seawall depends mainly on the direction of the strongest waves. However, the strength of the breakwater and the elevation of the seawall depend on the magnitude of the biggest wave height of the strongest waves. Thus, identification of directional extrema plays an important role in the design of wave factors. When calculating the directional extremum, different materials may require different specific computational methods, yet few theoretical studies have been conducted in this field of research. Based on multivariate extremnm statistical theory, this paper utilizes a discrete random variable to build a joint probability model compounded by a discrete random variable and a multivariate continuous randomvariable. Furthermore, this paper provides the first investigation on the theories and methodologies to deduce wave directional extrema. The results provide tools for both creating the calculation method of the directional extremum value and providing the rational directional extremum parameters for marine engineering design.
This paper presents a procedure for solving a multiobjective chance-constrained programming problem. randomvariables appearing on both sides of the chance constraint are considered as discrete random variables with a...
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This paper presents a procedure for solving a multiobjective chance-constrained programming problem. randomvariables appearing on both sides of the chance constraint are considered as discrete random variables with a known probability distribution. The literature does not contain any deterministic equivalent for solving this type of problem. Therefore, classical multiobjective programming techniques are not directly applicable. In this paper, we use a stochastic simulation technique to handle randomness in chance constraints. A fuzzy goal programming formulation is developed by using a stochastic simulation-based genetic algorithm. The most satisfactory solution is obtained from the highest membership value of each of the membership goals. Two numerical examples demonstrate the feasibility of the proposed approach.
In this paper, we derive the probability mass function (PMF) and the cumulative mass function (CMF) of the sum of discrete independent and identically distributed randomvariables. As an application of the PMF and CMF...
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In this paper, we derive the probability mass function (PMF) and the cumulative mass function (CMF) of the sum of discrete independent and identically distributed randomvariables. As an application of the PMF and CMF, we analyze the missed-detection, false-alarm, and overall error probabilities of cooperative spectrum sensing with any numbers of quantization levels and any quantization thresholds in a closed form. Computer simulation results match the analysis perfectly. In addition, centralized and distributed threshold selections are discussed.
In this paper we investigate a multiuser vector-disjunctive channel where users transmit binary vectors of length L. Previously the capacity of this channel was estimated and it was shown that there are some cases whe...
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In this paper we investigate a multiuser vector-disjunctive channel where users transmit binary vectors of length L. Previously the capacity of this channel was estimated and it was shown that there are some cases when it achieves on non-uniform input distributions. This fact motivates us to investigate concatenated code constructions that allow us to reach target input distribution and detect or correct some error patterns appearing due to user interference or channel noise.
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