Modeling of Random Variable with Digital Probability Hyper Digraph: Data-Oriented Approach
نویسندگان
چکیده
In this paper we introduce Digital Probability Hyper Digraph for modeling random variable as the hierarchical data-oriented model. Keywords—Data-Oriented Models, Data Structure, Digital Probability Hyper Digraph, Random Variable, Statistic and Probability.
منابع مشابه
A Novel Method for Improving the Uniformity of Random Number Generator Based on Data Oriented Modeling
In this paper a new method is introduced for generating uniform random numbers based on data oriented modeling. This modeling method of random variable is proposed in [1]. By using this method, uniform random variable is modeled with several data. Up to now, statisticians have used mathematical functions to model random variables. This approach conforms to human brain structure, in other words ...
متن کاملA Probability Space based on Interval Random Variables
This paper considers an extension of probability space based on interval random variables. In this approach, first, a notion of interval random variable is introduced. Then, based on a family of continuous distribution functions with interval parameters, a concept of probability space of an interval random variable is proposed. Then, the mean and variance of an interval random variable are intr...
متن کاملStatistical Modeling and Performance Characterization of Ultrafast Digital Lightwave Communication System Using Power-Cubic Optical Nonlinear Preprocessor (Extended Version)
In this paper, we present an analytical approach in obtaining the probability density function (pdf) of the random decision variable Y , formed at the output of power-cubic all-optical nonlinear preprocessor followed by the photodetector. Our approach can be used to accurately evaluate the performance of ultrafast pulse detection in the presence of Gaussian noise. Through rigorous Monte-Carlo s...
متن کاملDATA ENVELOPMENT ANALYSIS WITH FUZZY RANDOM INPUTS AND OUTPUTS: A CHANCE-CONSTRAINED PROGRAMMING APPROACH
In this paper, we deal with fuzzy random variables for inputs andoutputs in Data Envelopment Analysis (DEA). These variables are considered as fuzzyrandom flat LR numbers with known distribution. The problem is to find a method forconverting the imprecise chance-constrained DEA model into a crisp one. This can bedone by first, defuzzification of imprecise probability by constructing a suitablem...
متن کاملStatistical Modeling and Performance Characterization of an Ultrafast Digital Lightwave Communication System Using a Power-Cubic Optical Nonlinear Preprocessor (Extended Version)
In this paper, we present an analytical approach in obtaining the probability density function (pdf) of the random decision variable Y , formed at the output of power-cubic all-optical nonlinear preprocessor followed by the photodetector. Our approach can be used to accurately evaluate the performance of ultrafast pulse detection in the presence of Gaussian noise. Through rigorous Monte-Carlo s...
متن کامل