WSEAS Transactions on Mathematics最新文献_第10页

Rogue Waves of the Hirota Equation in Terms of Quasi-rational Solutions Depending on Multi-parameters 多参数拟有理解下Hirota方程的异常波

WSEAS Transactions on Mathematics Pub Date : 2023-03-07 DOI: 10.37394/23206.2023.22.24

P. Gaillard

引用次数: 0

The Prime Graphs PG3(R) and PG4(R) over a Ring R 环R上的素图PG3（R）和PG4（R）

WSEAS Transactions on Mathematics Pub Date : 2023-03-02 DOI: 10.37394/23206.2023.22.22

Pinku Sarkar, K. Patra

引用次数: 0

Parameter Estimations of Normal Distribution via Genetic Algorithm and Its Application to Carbonation Depth 基于遗传算法的正态分布参数估计及其在碳化深度中的应用

WSEAS Transactions on Mathematics Pub Date : 2023-03-02 DOI: 10.37394/23206.2023.22.23

S. Boonthiem, Chatchai Sutikasana, W. Klongdee, W. Ieosanurak

引用次数: 0

Raising All Group Elements to a Common Power 将所有群体元素提升为共同力量

WSEAS Transactions on Mathematics Pub Date : 2023-03-02 DOI: 10.37394/23206.2023.22.21

Hui-Ting Chen, Ching-Lueh Chang

引用次数: 0

Adequate Mathematical Models of the Cumulative Distribution Function of Order Statistics to Construct Accurate Tolerance Limits and Confidence Intervals of the Shortest Length or Equal Tails 序统计累积分布函数的适当数学模型，以构造最短长度或等尾的精确公差限和置信区间

WSEAS Transactions on Mathematics Pub Date : 2023-03-02 DOI: 10.37394/23206.2023.22.20

N. Nechval, G. Berzins, K. Nechval

{"title":"Adequate Mathematical Models of the Cumulative Distribution Function of Order Statistics to Construct Accurate Tolerance Limits and Confidence Intervals of the Shortest Length or Equal Tails","authors":"N. Nechval, G. Berzins, K. Nechval","doi":"10.37394/23206.2023.22.20","DOIUrl":"https://doi.org/10.37394/23206.2023.22.20","url":null,"abstract":"The technique used here emphasizes pivotal quantities and ancillary statistics relevant for obtaining tolerance limits (or confidence intervals) for anticipated outcomes of applied stochastic models under parametric uncertainty and is applicable whenever the statistical problem is invariant under a group of transformations that acts transitively on the parameter space. It does not require the construction of any tables and is applicable whether the experimental data are complete or Type II censored. The exact tolerance limits on order statistics associated with sampling from underlying distributions can be found easily and quickly making tables, simulation, Monte-Carlo estimated percentiles, special computer programs, and approximation unnecessary. The proposed technique is based on a probability transformation and pivotal quantity averaging. It is conceptually simple and easy to use. The discussion is restricted to one-sided tolerance limits. Finally, we give practical numerical examples, where the proposed analytical methodology is illustrated in terms of the exponential distribution. Applications to other log-location-scale distributions could follow directly.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45893645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

On the Diophantine Equation n^x + 10^y = z^2 丢番图方程n^x + 10^y = z^2

WSEAS Transactions on Mathematics Pub Date : 2023-02-23 DOI: 10.37394/23206.2023.22.19

S. Tadee

引用次数: 1

An Alternative Method for Estimating the Parameters of Log-Cauchy Distribution 对数柯西分布参数估计的一种替代方法

WSEAS Transactions on Mathematics Pub Date : 2023-02-23 DOI: 10.37394/23206.2023.22.18

Mohammad A. Amleh, Ahmad Al-Natoor, Baha' Abughazaleh

引用次数: 0

Continuous-Time Markov Decision Problems with Binary State 具有二元状态的连续时间马尔可夫决策问题

WSEAS Transactions on Mathematics Pub Date : 2023-02-16 DOI: 10.37394/23206.2023.22.17

Chiara Brambilla, L. Grosset, E. Sartori

引用次数: 0

Zero Truncated Poisson - Pareto Distribution: Application and Estimation Methods 零截断泊松-帕累托分布:应用和估计方法

WSEAS Transactions on Mathematics Pub Date : 2023-02-16 DOI: 10.37394/23206.2023.22.16

Abdallah M. M Badr, Tamer Hassan, Tarek Shams El Din, Faisal. A. M Ali

{"title":"Zero Truncated Poisson - Pareto Distribution: Application and Estimation Methods","authors":"Abdallah M. M Badr, Tamer Hassan, Tarek Shams El Din, Faisal. A. M Ali","doi":"10.37394/23206.2023.22.16","DOIUrl":"https://doi.org/10.37394/23206.2023.22.16","url":null,"abstract":"This article introduces and discusses a new three-parameter lifespan distribution called Zero-Truncated Poisson Pareto distribution ZTPP. that is built on compounding Pareto distribution as a continuous distribution and Zero-Truncated Poisson distribution as a discrete distribution. Various statistical properties and reliability characteristics of the proposed distribution have been investigated including explicit expressions for the moments, moment generating function, quantile function, and median. With three parameters, the suggested distribution has an advantage over other distributions in that it makes estimating the model parameters simpler. To estimate the unknown parameters of the ZTPP distribution, the maximum likelihood method, and L. Moments method are employed. Moreover, a real data set is used to evaluate the significance and ensure the applicability of the proposed distribution as compared to other probability distributions. The derived model proved to be the best compared to other fitted models, where the criteria values of (AIC), (CAIC), and (BIC) are minimum values by using the ZTPP distribution. The proposed model is hoped to attract a wider application.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"157 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135532963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Comparison of Logistic Regression and Discriminant Analysis for Classification of Multicollinearity Data 多元共线性数据分类的Logistic回归与判别分析的比较

WSEAS Transactions on Mathematics Pub Date : 2023-02-16 DOI: 10.37394/23206.2023.22.15

Autcha Araveeporn

{"title":"Comparison of Logistic Regression and Discriminant Analysis for Classification of Multicollinearity Data","authors":"Autcha Araveeporn","doi":"10.37394/23206.2023.22.15","DOIUrl":"https://doi.org/10.37394/23206.2023.22.15","url":null,"abstract":"The objective of this study is to concentrate on the classification method of the logistic regression and the discriminant analysis by using the simulation dataset and the liver patients as the actual data. These datasets are used the binary dependent variable depending on the correlated independent variables or called multicollinearity data. The standard classification method is logistic regression, which uses the logit function’s probability to conduct the dichotomous dependent variable. The iteration process can be solved to estimate logit function parameters and explain the relationship between a dependent binary variable and independent variables. Discriminant analysis is a powerful classification based on linear discriminant analysis (LDA), quadratic discriminant analysis (QDA), and regularized discriminant analysis (RDA). These methods consider the decision boundaries by building a classifier model on the multivariate normal distribution. LDA defines the standard covariance matrix, but QDA has an individual covariance matrix. RDA extends from QDA by setting the regularized parameter to estimate the covariance matrix. In the case of the simulation study, the independent variables are generated by defining the constant correlation on the multivariate normal distribution that made the multicollinearity problem. Then the binary response variable can be approximated from the logit function. For application to actual data, we expressed the classification of type liver and non-liver patients as the dependent variables and obtained patient personal information on the nine independent variables. The highest average percentage of accuracy determines the performance of these methods. The results have shown that the logistic regression was successful when using small independent variables, but the RDA performed when using large independent variables.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46561571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0