发布求助
文献互助 智能选刊 最新文献

Jordan Journal of Mathematics and Statistics最新文献

筛选
英文 中文
An Empirical Study of Robust Modified Recursive Fits of Moving Average Models 移动平均模型鲁棒修正递推拟合的实证研究
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.87.100
M. Ismail, Hend Auda, J. McKean, Mahmoud M. Sadek
{"title":"An Empirical Study of Robust Modified Recursive Fits of Moving Average Models","authors":"M. Ismail, Hend Auda, J. McKean, Mahmoud M. Sadek","doi":"10.3844/jmssp.2022.87.100","DOIUrl":"https://doi.org/10.3844/jmssp.2022.87.100","url":null,"abstract":": The time-series Moving Average (MA) model is a nonlinear model; see, for example. For traditional Least Squares (LS) fits, there are several algorithms to use for computing its fit. Since the model is nonlinear, Fuller discusses a Newton-type step algorithm. proposed a recursive algorithm based on a sequence of three linear LS regressions. In this study, we robustify Koreisha and Pukkila’s algorithm, by replacing these LS fits with robust fits. We selected an efficient, high breakdown robust fit that has good properties for skewed as well as symmetrically distributed random errors. Other robust estimates, however, can be chosen. We present the results of a simulation study comparing our robust modification with the Maximum Likelihood Estimates (MLE) in terms of efficiency and forecasting. Our robust modification has relatively high empirical efficiency relative to the MLE estimates under normally distributed errors, while it is much more efficient for heavy-tailed error distributions, including heavy-tailed skewed distributions.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"31 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84677027","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
Modified Human Development Index using Data Envelopment Analysis Approach  基于数据包络分析方法的修正人类发展指数
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.115.133
Y. Salama, R. Hamed, M. Rashwan
{"title":"Modified Human Development Index using Data Envelopment Analysis Approach ","authors":"Y. Salama, R. Hamed, M. Rashwan","doi":"10.3844/jmssp.2022.115.133","DOIUrl":"https://doi.org/10.3844/jmssp.2022.115.133","url":null,"abstract":": Composite Indicator is considered the mathematical aggregation which has wide usage for monitoring performances, conducting benchmarks, analyzing policies, and communicating publicly. Human Development Index (HDI) is the most popular index which measures human development through average achievement in its main dimensions: Health status, education status, and living standard but it is faced with several critiques, positive and negative. Moreover, HDI was tested to have a positive and significant correlation with natural resource abundance. Therefore, based on Mathematical Programming approaches, previously tested for Composite Indicators’ development, this research proposes a new calculated HDI using a Data Envelopment Analysis approach based on the Goal Programming model; including missing values’ estimation. This new proposed HDI was validated through Sensitivity Analysis of Normalization and Weighting methods; in addition to Wilcoxon Signed Rank Test. The first test shows a positive high correlation between the proposed HDIs and the United Nations HDI. Those tests ensure that HDI rankings are highly correlated and that they are unchanged given the different normalization and weighting techniques. Moreover, they reflect that the paired sample mean is not the same. This highlights the advantageous property of the proposed HDI; preserving both the advantages of Goal Programming and Data Envelopment Analysis approaches, in addition to others.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79690641","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
Predicting the Movement of Dentistry Students using Markov Chain 用马尔可夫链预测牙科学生的运动
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.27.35
Esmail Hassan Abdullatif Al-Sabri
{"title":"Predicting the Movement of Dentistry Students using Markov Chain","authors":"Esmail Hassan Abdullatif Al-Sabri","doi":"10.3844/jmssp.2022.27.35","DOIUrl":"https://doi.org/10.3844/jmssp.2022.27.35","url":null,"abstract":"Email: esmailsabri2006@gmail.com Abstract: Developing and increasing the effectiveness of any system (university system) depends on continuous evaluation and improvement using quantitative methods based on quantitative measurement and efficient mathematical models that can predict the future of the system, discover its improvement requirements and increase its effectiveness . This study is an application of the Stochastics Markov Process for students of the College of Dentistry at Ibb University. It was carried out by building a model for the movement (transition) of student’s cohorts in the college during the years of study and predicting the average times spent by the student until obtaining a degree in his/her track, as well as predicting the number of students expected to graduate for the post-study period. The study found that the average time for obtaining a bachelor's degree (graduation) is ordinary for the total students, although the average times for male students are less than the average times for female students.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"10 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84067935","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
Hopf Algebraic Structure of the (p,q)-Square Heizenberg White Noise Algebra (p,q)平方Heizenberg白噪声代数的Hopf代数结构
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.65.70
A. Riahi
{"title":"Hopf Algebraic Structure of the (p,q)-Square Heizenberg White Noise Algebra","authors":"A. Riahi","doi":"10.3844/jmssp.2022.65.70","DOIUrl":"https://doi.org/10.3844/jmssp.2022.65.70","url":null,"abstract":"The two-parameter quantum deformations algebras based on the Fock representation for the two parameters deformed quantum oscillator algebra obtained in (Riahi et al., 2020a) and its connection with the Meixner classes given in a series of papers (Berezansky, 1968; Berezansky and Kondratiev, 2013; Barhoumi and Riahi, 2010) which found a lot of interesting applications in quantum probability. The Hopf algebraic structure problem stated below has led, in the past 30 years, to a multiplicity of new results in different fields of mathematics and physics. The theory of multiparameter quantum deformations of Lie algebras (Hu, 1999; Riahi et al., 2021), Lie bialgebras (Song and Su, 2006; Yue and Su, 2008), and quantization of Lie algebras (Chakrabarti and Jagannathan, 1991; Song et al., 2008; Su and Yuan, 2010) play an essential role in the quantum white noise literature. More precisely, the Fock representation of two parameters deformed commutation relation was first studied by (Riahi et al., 2021) by constructing an interacting Fock space Fp,q() as the space of representation.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76197612","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
Chlodowsky Type (λ, q)-Bernstein Stancu Operator of Korovkin-Type Approximation Theorem of Rough I-Core of Triple Sequences 三序列粗糙i核的korovkin型逼近定理的Chlodowsky型(λ， q)-Bernstein Stancu算子
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.71.77
A. Esi, S. Nagarajan, Kemal Ozdemir
{"title":"Chlodowsky Type (λ, q)-Bernstein Stancu Operator of Korovkin-Type Approximation Theorem of Rough I-Core of Triple Sequences","authors":"A. Esi, S. Nagarajan, Kemal Ozdemir","doi":"10.3844/jmssp.2022.71.77","DOIUrl":"https://doi.org/10.3844/jmssp.2022.71.77","url":null,"abstract":": In this study, we obtain a Korovkin-type approximation theorem for Chlodowsky type ( λ, q )-Bernstein Stancu operator of rough I -convergent of triple sequences of positive linear operators of two variables from H w ( K ) to C w ( K ). We introduce and study some basic properties of Korovkin-type approximation theorem for Chlodowsky type ( λ, q )-Bernstein Stancu operator of rough I -convergent of triple sequence spaces and also study the set of all Korovkin-type approximation theorem for Chlodowsky type ( λ, q )− Bernstein Stancu operator of rough I -limits of triple sequence spaces and the relation between analyticness and Korovkin-type approximation theorem for Chlodowsky type ( λ, q )-Bernstein Stancu operator of rough I -core of triple sequence spaces.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"100 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75409977","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
Proof of Frankl's Conjecture: A Non-Constructive Approach 弗兰克尔猜想的证明:一种非建设性方法
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.134.137
Yonghong Liu
{"title":"Proof of Frankl's Conjecture: A Non-Constructive Approach","authors":"Yonghong Liu","doi":"10.3844/jmssp.2022.134.137","DOIUrl":"https://doi.org/10.3844/jmssp.2022.134.137","url":null,"abstract":": Let U be a finite set and X a family of nonempty subsets of U , which is closed under unions. We establish a connection between Frankl's conjecture and equipollence sets, in which a complementary set is an Equipollence set on the Frobenius group. We complete the proof of the union-closed sets using a non-constructive approach. The proof relies upon that we need to prove, that the series of the prime divisor diverges, and there exists x i which appears at least half distributed in subsets.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"247 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89054068","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
Mathematical Analysis of M/M/C Vacation Queueing Model with a Waiting Server and Impatient Customers 具有等待服务和不耐烦顾客的M/M/C假期排队模型的数学分析
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.36.48
Ganesh Sapkota, R. Ghimire
{"title":"Mathematical Analysis of M/M/C Vacation Queueing Model with a Waiting Server and Impatient Customers","authors":"Ganesh Sapkota, R. Ghimire","doi":"10.3844/jmssp.2022.36.48","DOIUrl":"https://doi.org/10.3844/jmssp.2022.36.48","url":null,"abstract":"Corresponding Author: Ganesh Sapkota Department of Mathematics, Kathmandu University, Nepal Email: sapkotaganesh15005@gmail.com Abstract: In this study, the transient analysis of the M/M/C queueing system has been made under the provision of servers' single vacation and loss of impatient customers. Customers arrive in the system in the Poisson process and are served by multiple servers in an exponential distribution process. Customers are served in the chronological order of their arrival. The main purpose of this investigation is to derive (i) the probability distribution functions, (ii) the formulas for the expected number of the customers in the system as well as in queue in the explicit form, (iii) the expected sojourn time and the expected time spent in waiting in the queue. Moreover, the sensitiveness of performance measures due to the small change of vacation rate γ, impatient rate ξ, and server’s waiting rate η has also been shown graphically. To show the applicability of the model under study, ample numerical results have been illustrated. The error computations have also been cited during the vacation period and busy period. Queueing model understudy may have its applications in multichannel telecommunications, security systems in the airport, train stations, and the manufacturing system.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80907857","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: 1
The Efficiency of Seven-Variable Box-Behnken Experimental Design with Varying Center Runs on Full and Reduced Model Types 变中心七变量Box-Behnken实验设计在全模型和简化模型上的效率
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.196.207
M. Iwundu, Joan Cosmos
{"title":"The Efficiency of Seven-Variable Box-Behnken Experimental Design with Varying Center Runs on Full and Reduced Model Types","authors":"M. Iwundu, Joan Cosmos","doi":"10.3844/jmssp.2022.196.207","DOIUrl":"https://doi.org/10.3844/jmssp.2022.196.207","url":null,"abstract":": Response Surface Methodology is widely used in the optimization of industrial processes and products that depend on several experimental variables. One of the most tested and efficient second-order Response Surface Methodology designs is the Box-Behnken Design. This research explores the efficiency of a seven-variable Box-Behnken design with varying center runs, on full and reduced quadratic models. Backward Elimination and Forward Selection techniques are employed as the variable selection techniques for obtaining the reduced models, based on the Akaike Information Criterion. Fit Statistics and Design Efficiency values are obtained for the reduced models and are compared with those of the full model. Generally, results show that the reduced quadratic models perform best under one center-point run, thereby making the reduced models the most preferred in terms of the model fit and D-efficiency. Comparative analysis, based on G-efficiency, reveals that the full quadratic model performs better than the reduced models under one center-point Box-Behnken design.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"233 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75917034","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
Sufficient Descent Condition of the Polak-Ribière-Polyak (PRP) Conjugate Gradient Method without Line Search 无线搜索的polak - ribi<e:1> - polyak (PRP)共轭梯度法下降的充分条件
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.11.15
A. A., KH. I. Osman, Osman O. O. Yousif, Mogtaba Mohammed, Arafa Dawood, B. A. Younis
{"title":"Sufficient Descent Condition of the Polak-Ribière-Polyak (PRP) Conjugate Gradient Method without Line Search","authors":"A. A., KH. I. Osman, Osman O. O. Yousif, Mogtaba Mohammed, Arafa Dawood, B. A. Younis","doi":"10.3844/jmssp.2022.11.15","DOIUrl":"https://doi.org/10.3844/jmssp.2022.11.15","url":null,"abstract":"","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"111 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79171083","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
Measure of Departure from Conditional Partial Symmetry for Square Contingency Tables 方形列联表偏离条件部分对称的测度
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2022-01-01 DOI: 10.3844/jmssp.2022.138.142
Yusuke Saigusa, Nobuki Fukumoto, Tomoyuki Nakagawa, S. Tomizawa
{"title":"Measure of Departure from Conditional Partial Symmetry for Square Contingency Tables","authors":"Yusuke Saigusa, Nobuki Fukumoto, Tomoyuki Nakagawa, S. Tomizawa","doi":"10.3844/jmssp.2022.138.142","DOIUrl":"https://doi.org/10.3844/jmssp.2022.138.142","url":null,"abstract":": For square contingency tables, a symmetry of conditional probability in part of the off-diagonal cells is considered with respect to the main diagonal. A measure is proposed to represent the degree of departure from the symmetric structure and gives the approximate confidence interval. Some numerical experiments are performed to illustrate the validity and usefulness of the proposed measure. Japanese occupational data are analyzed using the measure.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"15 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84668553","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信