On Some Estimation Methods of Neutrosophic Continuous Probability Distributions Using One-Dimensional AH-Isometry

被引:0
作者
Astambli A. [1 ]
Zeina M.B. [1 ]
Karmouta Y. [1 ]
机构
[1] Faculty of Science, Dept. of Mathematical Statistics, University of Aleppo, Aleppo
关键词
AH Isometry; Maximum Likelihood; Moments; Neutrosophic Field of Reals; Neutrosophic Fisher Information; Probability Density Functions;
D O I
10.5281/zenodo.7536101
中图分类号
学科分类号
摘要
In this research, we introduce an algebraic approach to define the concept of neutrosophic maximum likelihood estimation method based on neutrosophic continuous probability distributions based on classical neutrosophic numbers of the form N = a + bI; I2 = I i.e., I is a letter not a numerical set. We prove that the neutrosophic log likelihood function gives the same estimators given by neutrosophic likelihood function. Also, we present the concept of neutrosophic moments estimation method which produces system of neutrosophic equations to derive the neutrosophic estimators using an algebraic isomorphism. Estimators based on two mentioned methods were derived successfully for some neutrosophic continuous probability distributions. Concept of neutrosophic Fisher information is also presented. Theorems were proved using an algebraic approach depending on the one-dimensional AH-Isometry. A simulation study is also presented to show the efficiency of the presented estimators. © 2023,Neutrosophic Sets and Systems. All Rights Reserved.
引用
收藏
页码:641 / 652
页数:11
相关论文
共 22 条
[11]  
Alaswad M. F., A Study of the Integration of Neutrosophic Thick Function, International Journal of Neutrosophic Science, 6, (2020)
[12]  
Alaswad M. F., A Study of Neutrosophic Differential Equation by Using a Neutrosophic Thick Function, Neutrosophic Knowledge, 1, (2020)
[13]  
Rashad H., Mohamed M., Neutrosophic Theory and Its Application in Various Queueing Models: Case Studies, Neutrosophic Sets and Systems, 42, pp. 117-135, (2021)
[14]  
Zeina M. B., Neutrosophic Event-Based Queueing Model, International Journal of Neutrosophic Science, 6, (2020)
[15]  
Zeina M. B., Erlang Service Queueing Model with Neutrosophic Parameters, International Journal of Neutrosophic Science, 6, 2, pp. 106-112, (2020)
[16]  
Khan Z., Amin A., Khan S. A., Gulistan M., Statistical Development of the Neutrosophic Lognormal Model with Application to Environmental Data, Neutrosophic Sets and Systems, 47, pp. 1-11, (2021)
[17]  
Salem S., Khan Z., Ayed H., Brahmia A., Amin A., The Neutrosophic Lognormal Model in Lifetime Data Analysis: Properties and Applications, Journal of Function Spaces, (2021)
[18]  
Khan Z., Al-Bossly A., Almazah M. M. A., Alduais F. S., On Statistical Development of Neutrosophic Gamma Distribution with Applications to Complex Data Analysis, Complexity, (2021)
[19]  
Duan W.-Q., Khan Z., Gulistan M., Khurshid A., Neutrosophic Exponential Distribution: Modeling and Applications for Complex Data Analysis, Complexity, (2021)
[20]  
Shah F., Aslam M., Khan Z., Almazah M. M. A., Alduais F. S., On Neutrosophic Extension of the Maxwell Model: Properties and Applications, Journal of Function Spaces, (2022)