Pub Date : 2022-01-01DOI: 10.3844/jmssp.2022.87.100
M. Ismail, Hend Auda, J. McKean, Mahmoud M. Sadek
: 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.
{"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}
Pub Date : 2022-01-01DOI: 10.3844/jmssp.2022.115.133
Y. Salama, R. Hamed, M. Rashwan
: 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.
{"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}
Pub Date : 2022-01-01DOI: 10.3844/jmssp.2022.27.35
Esmail Hassan Abdullatif Al-Sabri
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.
{"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}
Pub Date : 2022-01-01DOI: 10.3844/jmssp.2022.65.70
A. Riahi
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.
基于(Riahi et al.， 2020a)中得到的双参数变形量子振子代数的Fock表示的双参数量子变形代数及其与一系列论文中给出的Meixner类的联系(Berezansky, 1968;别列赞斯基和康德拉季耶夫，2013;Barhoumi和Riahi, 2010)，他们在量子概率中发现了许多有趣的应用。在过去的30年里，下面所述的Hopf代数结构问题在数学和物理的不同领域产生了大量的新结果。李代数的多参数量子变形理论(Hu, 1999;Riahi et al.， 2021)，李双代数(Song and Su, 2006;Yue和Su, 2008)，李代数的量化(Chakrabarti和Jagannathan, 1991;Song et al.， 2008;Su and Yuan, 2010)在量子白噪声文献中发挥了至关重要的作用。更准确地说，(Riahi et al.， 2021)首先通过构造一个相互作用的Fock空间Fp,q()作为表示空间，研究了两参数变形换相关系的Fock表示。
{"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}
Pub Date : 2022-01-01DOI: 10.3844/jmssp.2022.71.77
A. Esi, S. Nagarajan, Kemal Ozdemir
: 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.
本文给出了两个变量的正线性算子的三列从H w (K)到C w (K)的粗糙I -收敛的Chlodowsky型(λ， q)-Bernstein Stancu算子的一个korovkin型逼近定理。引入并研究了三列空间的粗略I -收敛型Chlodowsky型(λ， q)-Bernstein Stancu算子的korovkin -近似定理的一些基本性质，研究了三列空间的粗略I -极限型Chlodowsky型(λ， q)-Bernstein Stancu算子的所有korovkin -近似定理的集合，以及Chlodowsky型(λ， q)的解析性与korovkin -近似定理的关系。三序列空间粗糙I核的-Bernstein Stancu算子。
{"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}
Pub Date : 2022-01-01DOI: 10.3844/jmssp.2022.134.137
Yonghong Liu
: 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.
{"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}
Pub Date : 2022-01-01DOI: 10.3844/jmssp.2022.36.48
Ganesh Sapkota, R. Ghimire
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.
{"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}
Pub Date : 2022-01-01DOI: 10.3844/jmssp.2022.196.207
M. Iwundu, Joan Cosmos
: 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.
{"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}
Pub Date : 2022-01-01DOI: 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}
Pub Date : 2022-01-01DOI: 10.3844/jmssp.2022.138.142
Yusuke Saigusa, Nobuki Fukumoto, Tomoyuki Nakagawa, S. Tomizawa
: 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.
{"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}
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