Some Neutrosophic Probability Distributions
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Some Neutrosophic Probability Distributions
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Author : Rafif Alhabib
language : en
Publisher: Infinite Study
Release Date :
Some Neutrosophic Probability Distributions written by Rafif Alhabib and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
In this paper, we introduce and study some neutrosophic probability distributions, The study is done through generalization of some classical probability distributions as Poisson distribution, Exponential distribution and Uniform distribution, this study opens the way for dealing with issues that follow the classical distributions and at the same time contain data not specified accurately.
The Neutrosophic Statistical Distribution More Problems More Solutions
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Author : S. K. Patro
language : en
Publisher: Infinite Study
Release Date :
The Neutrosophic Statistical Distribution More Problems More Solutions written by S. K. Patro and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
In this paper , the authors explore neutrosophic statistics, that was initiated by Florentin Smarandache in 1998 and developed in 2014, by presenting various examples of several statistical distributions, from the work [1]. The paper is presented with more case studies, by means of which this neutrosophic version of statistical distribution becomes more pronounced.
Generating Neutrosophic Random Variables Based Gamma Distribution
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Author : Maissam Jdid
language : en
Publisher: Infinite Study
Release Date : 2024-01-01
Generating Neutrosophic Random Variables Based Gamma Distribution written by Maissam Jdid and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.
In practical life, we encounter many systems that cannot be studied directly, either due to their high cost or because some of these systems cannot be studied directly. Therefore, we resort to the simulation method, which depends on applying the study to systems similar to real ones and then projecting these results if they are suitable for the real system. The simulation process requires a good understanding of probability distributions and the methods used to transform random numbers that follow a regular distribution in the field [0,1] into random variables that follow them, so that we can achieve the greatest possible benefit from the simulation process and obtain more accurate and appropriate results for all conditions that arise. In previous research, we presented a neutrosophical vision of the process of generating random numbers that follow a regular distribution in the field [0, 1] and some techniques used to generate random variables, such as the inverse transformation technique that was used to generate random variables that follow a uniform distribution in the domain [a, b] and the exponential distribution, the rejection and acceptance technique, which was used to generate random variables that follow the beta distribution, and the mixed technique, which was used to generate random variables that follow the Poisson distribution. In this research, we present a neutrosophic study to generate neutrosophic random variables that follow the gamma distribution, a distribution that is frequently used in engineering applications.
The Box And Muller Technique For Generating Neutrosophic Random Variables Follow A Normal Distribution
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Author : Maissam Ahmad Jdid
language : en
Publisher: Infinite Study
Release Date : 2024-01-01
The Box And Muller Technique For Generating Neutrosophic Random Variables Follow A Normal Distribution written by Maissam Ahmad Jdid and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Mathematics categories.
The focus of operations research is the existence of a problem that requires making an appropriate decision that helps reduce risk and achieves a good level of performance. Operations research methods depend on formulating realistic issues through mathematical models consisting of a goal function and constraints, and the optimal solution is the ideal decision, despite the multiplicity of these methods. However, we encounter many complex issues that cannot be represented mathematically, or many issues that cannot be studied directly. Here comes the importance of the simulation process in all branches of science, as it depends on applying the study to systems similar to real systems and then projecting this. The results if they fit on the real system. So simulation is the process of building, testing, and running models that simulate complex phenomena or systems using specific mathematical models. The simulation process depends on generating a series of random numbers subject to a regular probability distribution in the field [0, 1], and then converting these random numbers into random variables subject to the distribution law. Probability, according to which the system to be simulated operates, using appropriate techniques for both the probability density function and the cumulative distribution function. Classical studies have provided many techniques that are used during the simulation process, and to keep pace with the great scientific development witnessed by our contemporary world, we found that a new vision must be presented for this. Techniques A vision based on the concepts of neutrosophics, the science founded by the American mathematical philosopher Florentin Smarandache. The year 1995, in which new concepts of probabilities and probability distributions are used, as we presented in previous research some techniques from a neutrosophic perspective, and as an extension of what we presented previously, we present in this research a neutrosophic vision of the Box and Muller technique used to generate random variables that follow a normal distribution.
Neutrosophic Beta Distribution With Properties And Applications
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Author : Rehan A. Khan Sherwani
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Beta Distribution With Properties And Applications written by Rehan A. Khan Sherwani and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This research is an extension of classical statistics distribution theory as the theory did not deal with the problems having ambiguity, impreciseness, or indeterminacy. An important life-time distribution called Beta distribution from classical statistics is proposed by considering the indeterminate environment and named the new proposed distribution as neutrosophic beta distribution.
Generating Neutrosophic Random Variables Following The Poisson Distribution Using The Composition Method The Mixed Method Of Inverse Transformation Method And Rejection Method
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Author : Maissam Jdid
language : en
Publisher: Infinite Study
Release Date : 2024-01-01
Generating Neutrosophic Random Variables Following The Poisson Distribution Using The Composition Method The Mixed Method Of Inverse Transformation Method And Rejection Method written by Maissam Jdid and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-01 with Business & Economics categories.
Simulation is a numerical technique used to perform tests on a numerical computer, and involves logical and mathematical relationships interacting with each other to describe the behavior and structure of a complex system in the real world over a period of time. Analysis using simulation is a "natural" and logical extension of the mathematical analytical models inherent in operations research, because most operations research methods depend on building mathematical models that closely approximate the real-world environment and we obtain the optimal solution for them using algorithms appropriate to the type of these models. The importance of the simulation process comes in all branches of science, there are many systems that cannot be studied directly, due to the great difficulty that we may encounter when studying, and the high cost, in addition to the fact that some systems cannot be studied directly. The simulation process depends on generating a series of numbers. Randomness subject to a uniform probability distribution over the domain [0,1] , then converting these numbers into random variables subject to the law of probability distribution by which the system to be simulated works, using known transformation methods.
Neutrosophic Weibull Distribution And Neutrosophic Family Weibull Distribution
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Author : Kawther Fawzi Hamza Alhasan
language : en
Publisher: Infinite Study
Release Date :
Neutrosophic Weibull Distribution And Neutrosophic Family Weibull Distribution written by Kawther Fawzi Hamza Alhasan and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Many problems in life are filled with ambiguity, uncertainty, impreciseness …etc., therefore we need to interpret these phenomena. In this paper, we will focus on studying neutrosophic Weibull distribution and its family, through explaining its special cases , and the functions' relationship with neutrosophic Weibull such as Neutrosophic Inverse Weibull, Neutrosophic Rayleigh, Neutrosophic three parameter Weibull, Neutrosophic Beta Weibull, Neutrosophic five Weibull, Neutrosophic six Weibull distributions (various parameters).This study will enable us to deal with indeterminate or inaccurate problems in a flexible manner. These problems will follow this family of distributions. In addition, these distributions are applied in various domains, such as reliability, electrical engineering, Quality Control ….. etc. Some properties and examples for these distributions are discussed.
Double Indeterminacy Neutrosophic Study Of An Approximation Techniques Used To Find Random Variables
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Author : Maissam Jdid
language : en
Publisher: Infinite Study
Release Date : 2023-01-01
Double Indeterminacy Neutrosophic Study Of An Approximation Techniques Used To Find Random Variables written by Maissam Jdid and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
The main interest in statistical analysis is to generate a series of random variables that follow the probability distribution in which the system under study operates. In almost all simulation tests, we need to generate random variables that follow a distribution, a distribution that adequately describes and represents the physical process involved in the experiment at That point. During the experiment, it may be necessary to simulate a real and perform the process of generating a random variable from a distribution many times depending on the complexity of the model to be simulated in order to obtain more accurate simulation results. In previous research, we presented a neutrosophical study of the process of generating random numbers and some techniques that can be used to convert these random numbers into variables. Randomness follows the probability distributions according to which the system to be simulated operates. These techniques were specific to probability distributions defined by a probability density function that is easy to deal with in terms of finding the cumulative distribution function and the inverse function of the cumulative distribution function or by calculating the values of this function at a certain value, and in reality, we encounter Many systems operate according to these distributions, which requires techniques other than the techniques presented. Therefore, in this research we will present a neutrosophical study of the approximation technique for generating random variables that follow probability distributions known as a complex probability density function.
Neutrosophic Generalized Pareto Distribution
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Author : Nahed I. Eassa
language : en
Publisher: Infinite Study
Release Date : 2023-01-01
Neutrosophic Generalized Pareto Distribution written by Nahed I. Eassa and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.
The purpose of this paper is to present a neutrosophic form of the generalized Pareto distribution (NGPD) which is more flexible than the existing classical distribution and deals with indeterminate, incomplete and imprecise data in a flexible manner. In addition to this, NGPD will be obtained as a generalization of the neutrousophic Pareto distribution. Also, the paper introduces its special cases as neutrosophic Lomax distribution. The mathematical properties of the proposed distributions, such as mean, variance and moment generating function are derived. Additionally, the analysis of reliability properties, including survival and hazard rate functions, is mentioned. Furthermore, neutrosophic random variable for Pareto distribution was presented and recommended using it when data in the interval form follow a Pareto distribution and have some sort of indeterminacy. This research deals the statistical problems that have inaccurate and vague data. The proposed model NGPD is widely used in finance to model low probability events. So, it is applied to a real-world data set to modelling the public debt in Egypt for the purpose of dealing with neutrosophic scale and shape parameters, finally the conclusions are discussed.
Neutrosophic Statistics Is An Extension Of Interval Statistics While Plithogenic Statistics Is The Most General Form Of Statistics Second Version
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Author : Florentin Smarandache
language : en
Publisher: Infinite Study
Release Date : 2022-06-01
Neutrosophic Statistics Is An Extension Of Interval Statistics While Plithogenic Statistics Is The Most General Form Of Statistics Second Version written by Florentin Smarandache and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-01 with Mathematics categories.
In this paper, we prove that Neutrosophic Statistics is more general than Interval Statistics, since it may deal with all types of indeterminacies (with respect to the data, inferential procedures, probability distributions, graphical representations, etc.), it allows the reduction of indeterminacy, and it uses the neutrosophic probability that is more general than imprecise and classical probabilities and has more detailed corresponding probability density functions. While Interval Statistics only deals with indeterminacy that can be represented by intervals. And we respond to the arguments by Woodall et al. [1]. We show that not all indeterminacies (uncertainties) may be represented by intervals. Also, in some cases, we should better use hesitant sets (that have less indeterminacy) instead of intervals. We redirect the authors to the Plithogenic Probability and Plithogenic Statistics which are the most general forms of MultiVariate Probability and Multivariate Statistics respectively (including, of course, the Imprecise Probability and Interval Statistics as subclasses).