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Jordan Journal of Mathematics and Statistics最新文献

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Estimation and Reliability for a Special Type of Semi-Markov Process 一类特殊半马尔可夫过程的估计与可靠性
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/jmssp.2019.259.272
V. Barbu, A. Karagrigoriou, A. Makrides
{"title":"Estimation and Reliability for a Special Type of Semi-Markov Process","authors":"V. Barbu, A. Karagrigoriou, A. Makrides","doi":"10.3844/jmssp.2019.259.272","DOIUrl":"https://doi.org/10.3844/jmssp.2019.259.272","url":null,"abstract":"This work deals with multi-state systems modelled by means of semi-Markov processes. The sojourn times are seen to be independent not identically distributed random variables and assumed to belong to one of two different general classes of distributions so that the first class is closed under maxima and the second one is closed under minima. We obtain maximum likelihood estimators of the parameters of interest under several estimation schemes and investigate their asymptotic properties. Plug-in type estimators are furnished for various quantities related to the system under study.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"42 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87407585","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: 3
A Note on “The Homotopy Category is a Homotopy Category” 关于“同伦范畴是同伦范畴”的注记
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/JMSSP.2019.201.207
Afework Solomon
{"title":"A Note on “The Homotopy Category is a Homotopy Category”","authors":"Afework Solomon","doi":"10.3844/JMSSP.2019.201.207","DOIUrl":"https://doi.org/10.3844/JMSSP.2019.201.207","url":null,"abstract":"In his paper with the title, “The Homotopy Category is a Homotopy Category”, Arne Strom shows that the category Top of topo- logical spaces satisfies the axioms of an abstract homotopy category in the sense of Quillen. In this study, we show by examples that Quillen’s model structure on Top fails to capture some of the subtleties of classical homotopy theory and also, we show that the whole of classical homo-topy theory cannot be retrieved from the axiomatic approach of Quillen. Thus, we show that model category is an incomplete model of classical homotopy theory.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"11 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82090459","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
The Dual Exponentiated Weibull Model 双指数Weibull模型
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/JMSSP.2019.122.135
Mona Mustafa Elbiely
{"title":"The Dual Exponentiated Weibull Model","authors":"Mona Mustafa Elbiely","doi":"10.3844/JMSSP.2019.122.135","DOIUrl":"https://doi.org/10.3844/JMSSP.2019.122.135","url":null,"abstract":"A new lifetime model with various shapes of the hazard rate function for modeling uni-modal and bimodal data sets is introduced and studied along with its statistical properties. Before using the maximum likelihood method for estimating the unknown model parameters, we assessed its performance via a simulation study. The flexibility of the new model is illustrated via plots of the probability and hazard rate functions for three real data applications.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"17 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83006396","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
A Test on the Multivariate Behrens–Fisher Problem in High–Dimensional Data by Block Covariance Estimation 用块协方差估计检验高维数据中的多元Behrens-Fisher问题
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/JMSSP.2019.44.54
Paranut Sukcharoen, S. Chongcharoen
{"title":"A Test on the Multivariate Behrens–Fisher Problem in High–Dimensional Data by Block Covariance Estimation","authors":"Paranut Sukcharoen, S. Chongcharoen","doi":"10.3844/JMSSP.2019.44.54","DOIUrl":"https://doi.org/10.3844/JMSSP.2019.44.54","url":null,"abstract":"In this paper, we proposed a new testing statistic for testing the equality of mean vectors from two multivariate normal populations when the covariance matrices are unknown and unequal in high–dimensional data. A new test is proposed based on the idea of keeping more information from the sample covariance matrices as much as possible. A proposed test is invariant under scalar transformations and location shifts. We showed that the asymptotic distribution of proposed statistic is standard normal distribution when number of random variables approach infinity. We also compared the performance of the proposed test with other three existing tests by the simulation study. The simulation results showed that the attained significance level of proposed test close to setting nominal significance level satisfactorily. The attained power of proposed test outperforms as the other comparative tests under form of covariance matrices considered which can be arranged to block diagonal matrix structure. The attained power becomes more powerful when the dimension increases for a given sample size or vice versa, or relationship level between random variables in each sample increases. Finally, the proposed test is also illustrated with an analysis of DNA microarray data.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83608798","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
A New Inverse Weibull Distribution: Properties and Applications 一种新的逆威布尔分布:性质及应用
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/JMSSP.2019.30.43
Mona Mustafa Elbiely, H. Yousof
{"title":"A New Inverse Weibull Distribution: Properties and Applications","authors":"Mona Mustafa Elbiely, H. Yousof","doi":"10.3844/JMSSP.2019.30.43","DOIUrl":"https://doi.org/10.3844/JMSSP.2019.30.43","url":null,"abstract":"In this work, we introduce a new flexible extension of the Inverse Weibull distribution. Some important mathematical properties of the proposed model are derived along with a numerical analysis of mean, variance, skewness and kurtosis measures of the proposed model. The performance of the maximum likelihood method is assesses via a comprehensive simulation studies in terms of mean squared errors. The new model is better than some other important competitive extensions of the Inverse Weibull in modeling the breaking stress data, the glass fibers data and the relief time data. Some plots are given to illustrate the suitability of the new model to fit the used data sets.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"14 1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78400035","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: 7
E-Saddle Point Criteria for E-differentiable Vector Optimization Problems with Inequality and Equality Constraints 不等式与等式约束下e -可微向量优化问题的e -鞍点准则
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/JMSSP.2019.86.98
T. Antczak, Najeeb Abdulaleem
{"title":"E-Saddle Point Criteria for E-differentiable Vector Optimization Problems with Inequality and Equality Constraints","authors":"T. Antczak, Najeeb Abdulaleem","doi":"10.3844/JMSSP.2019.86.98","DOIUrl":"https://doi.org/10.3844/JMSSP.2019.86.98","url":null,"abstract":"n this study, the class of E-differentiable vector optimization problems with both inequality and equality constraints is considered. For such (not necessarily) differentiable multicriteria optimization problems, two E-Lagrange functions and their E-saddle points are defined. Then the so-called E-saddle point criteria are established for such (not necessarily) differentiable multiobjective programming problems with E-differentiable E-convex functions.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"50 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76771194","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
Modification on PPS Sample Scheme with Replacement 缴费灵样本计划的修改及更换
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/JMSSP.2019.65.69
A. Alanzi, Naser A. Alodat, Ahmad Mohammad Qazza
{"title":"Modification on PPS Sample Scheme with Replacement","authors":"A. Alanzi, Naser A. Alodat, Ahmad Mohammad Qazza","doi":"10.3844/JMSSP.2019.65.69","DOIUrl":"https://doi.org/10.3844/JMSSP.2019.65.69","url":null,"abstract":"In this paper we have developed an alternative estimator for the Probability Proportional to Size (PPS) with replacement sampling scheme when certain characteristics under study are positively correlated with the selection probability. An analogue to the well-known superpopulation model for finite population is also suggested, using which, we compare the proposed estimator with Hansen and Hurwitz estimator. Finally, an empirical investigation of the performance of the propose estimator has also been made.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"96 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74684295","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
The Burr X Nadarajah Haghighi Distribution: Statistical Properties and Application to the Exceedances of Flood Peaks Data Burr X Nadarajah Haghighi分布:统计性质及其在洪峰超峰数据中的应用
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/JMSSP.2019.146.157
Hisham A. H. Elsayed, H. Yousof
{"title":"The Burr X Nadarajah Haghighi Distribution: Statistical Properties and Application to the Exceedances of Flood Peaks Data","authors":"Hisham A. H. Elsayed, H. Yousof","doi":"10.3844/JMSSP.2019.146.157","DOIUrl":"https://doi.org/10.3844/JMSSP.2019.146.157","url":null,"abstract":"In this study, new version from the Nadarajah Haghighi model is proposed. The introduced model has a failure rate function that may change in different directions. Statistical properties of the new density function are derived along with the analysis of variance, Skewness and Kurtosis. Parameter estimates are obtained by the method of maximum likelihood. Illustration of real data set was employed to measure flexibility of the new model. A simulation study was executed to test performance of the proposed version.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"63 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86827032","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: 18
A Distribution-Free Bayesian Approach for Indirect Comparisons 间接比较的无分布贝叶斯方法
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/jmssp.2019.136.145
J. V. Zyl, J. Tubbs
{"title":"A Distribution-Free Bayesian Approach for Indirect Comparisons","authors":"J. V. Zyl, J. Tubbs","doi":"10.3844/jmssp.2019.136.145","DOIUrl":"https://doi.org/10.3844/jmssp.2019.136.145","url":null,"abstract":"The objective of this paper is to consider an indirect comparison between treatments B and C when each have been compared directly to treatment A in separate studies. Problems of this type are common in Network Meta-Analysis (NMA). A commonly used method assumes that the underlying data, Y, are normally distributed and µ = E(Y) is the measure of clinical effectiveness. The normal assumption is often violated. In addition, the sample sizes are not necessarily large. These conditions challenge the concept that a single location parameter, such as, the mean or median should be used as the measure of clinical effectiveness in the analysis. In this paper, we present an alternative approach where the Area Under the ROC Curve (AUC) is used as the measure of clinical effectiveness. Since the normal distribution may be uncertain, we use a distribution-free Bayesian mixtures of Finite Polya Trees (MFPT) model with the AUC in order to make the indirect comparison.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"24 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87219955","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
Adjusted Transformation Methods for Reproduction Quality Control 生殖质量控制的调整变换方法
IF 0.3
Jordan Journal of Mathematics and Statistics Pub Date : 2019-01-01 DOI: 10.3844/jmssp.2019.273.279
E. Kalligeris, A. Karagrigoriou, Kostantinos Ladopoulos, C. Parpoula
{"title":"Adjusted Transformation Methods for Reproduction Quality Control","authors":"E. Kalligeris, A. Karagrigoriou, Kostantinos Ladopoulos, C. Parpoula","doi":"10.3844/jmssp.2019.273.279","DOIUrl":"https://doi.org/10.3844/jmssp.2019.273.279","url":null,"abstract":"n this paper we introduce adjusted transformation methods for off-line quality control. The proposed methods result in proper performance measures for the determination of the controllable factors that affect the mean and variability of the response variable of interest. The details of the proposed adjusted transformations are provided and compared with the well-known Box and Coxtransformation and the safeguard method of Logothetis. The performance abilities of the proposed methodology are demonstrated on quality control data, considering both a real dataset and a simulated one.","PeriodicalId":41981,"journal":{"name":"Jordan Journal of Mathematics and Statistics","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88971070","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
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