American Journal of Mathematical and Management Sciences最新文献_第3页

Emergency Service Location Problem with Ring Roads 环城公路应急服务定位问题

American Journal of Mathematical and Management Sciences Pub Date : 2022-04-24 DOI: 10.1080/01966324.2022.2062270

Sally M. Borham, A. Tharwat, E. Hassan

引用次数: 0

A Bayes Analysis and Comparison of Arrhenius Weibull and Arrhenius Lognormal Models under Competing Risk 竞争风险下Arrhenius Weibull和Arrhenius Lognormal模型的贝叶斯分析与比较

American Journal of Mathematical and Management Sciences Pub Date : 2022-02-21 DOI: 10.1080/01966324.2022.2037030

Ankita Gupta, Rakesh Ranjan, S. Upadhyay

{"title":"A Bayes Analysis and Comparison of Arrhenius Weibull and Arrhenius Lognormal Models under Competing Risk","authors":"Ankita Gupta, Rakesh Ranjan, S. Upadhyay","doi":"10.1080/01966324.2022.2037030","DOIUrl":"https://doi.org/10.1080/01966324.2022.2037030","url":null,"abstract":"Abstract The paper considers constant stress accelerated life test situations under a competing risk scenario. The different groups of experimental units are operated at different accelerated levels of stress and, at each level, the units are exposed to fail from two competing causes of failures. For modeling the failure times resulting from such a test, the paper considers two competing risk models. The first model is based on the minimum of two Weibull failure times whereas the second one is based on the minimum of two lognormal failure times. In order to study the effect of covariates on failure times, the scale parameter of component models in each modeling framework has been regressed using the Arrhenius relationship. The paper performs a complete Bayes analysis of both the considered models for a real dataset arising from a temperature accelerated life test experiment and compares the two models using a few standard Bayesian tools. Bayes analysis is done using vague but proper priors for the parameters. Moreover, the considered models result in to intractable posterior distributions and, therefore, the paper uses the Metropolis algorithm to draw the desired posterior based inferences. For censored data situations, however, the intermediate Gibbs steps are used as updating mechanism by defining full conditionals corresponding to unknown censored data. The plausibility of both the models for entertained dataset has also been checked before performing their comparison. A numerical example based on a real dataset is provided for illustration.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"59260152","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

Reliability of Multicomponent Stress-Strength Model Based on Bivariate Generalized Exponential Distribution 基于二元广义指数分布的多组分应力强度模型的可靠性

American Journal of Mathematical and Management Sciences Pub Date : 2022-02-10 DOI: 10.1080/01966324.2022.2032500

Mustafa Nadar, Elif Erçelik

引用次数: 0

Ordering Results for Order Statistics from Heterogeneous Log-Logistic Distributions 异构对数逻辑分布中订单统计的排序结果

American Journal of Mathematical and Management Sciences Pub Date : 2022-02-07 DOI: 10.1080/01966324.2021.2019148

S. Kayal, L. K. Patra, Raju Bhakta, S. Nadarajah

引用次数: 0

More-for-Less Paradox in Time Minimization Transportation Problem with Mixed Constraints 混合约束下时间最小化运输问题的多换少悖论

American Journal of Mathematical and Management Sciences Pub Date : 2022-01-27 DOI: 10.1080/01966324.2022.2027302

Swati Agarwal, Shaurav Sharma

{"title":"More-for-Less Paradox in Time Minimization Transportation Problem with Mixed Constraints","authors":"Swati Agarwal, Shaurav Sharma","doi":"10.1080/01966324.2022.2027302","DOIUrl":"https://doi.org/10.1080/01966324.2022.2027302","url":null,"abstract":"Abstract In emergency situations, such as at the time of the outbreak of infectious viruses (COVID-19, SARS, Ebola, MERS, etc.), strike of natural disasters (Earthquakes, tsunamis, cyclones, etc.), wars, terrorist attacks, etc., where distributing essential goods and services in minimum possible time is a major logistical challenge, the concept of more-for-less paradox could be helpful. In a minimization type transportation problem, this paradoxical situation occurs when the value of objective function falls below the optimum value by shipping a large number of total goods. In this article, a unified algorithm is developed to identify and resolve the existence of paradoxical situation in the time minimization transportation problem with mixed constraints using right-hand side parametric formulation. Using this prior approach, the paradoxical solution (if exists) can be found first, followed by an optimal solution. If the paradoxical part does not exist, it gets neglected. The conditions governing the existence of more transportation flow in less shipping time enable the decision-maker to extend the optimal solution in search of more-for-less opportunity at the time of emergency. The validity of an algorithm has been tested through numerical illustrations and by computational observations on matlab.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43075502","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

Step-Down Procedure for Comparison between Successive Exponential Populations 连续指数总体间比较的降压法

American Journal of Mathematical and Management Sciences Pub Date : 2021-12-23 DOI: 10.1080/01966324.2021.2007189

Jatesh Kumar, Vikram Singh Brahm, A. N. Gill

{"title":"Step-Down Procedure for Comparison between Successive Exponential Populations","authors":"Jatesh Kumar, Vikram Singh Brahm, A. N. Gill","doi":"10.1080/01966324.2021.2007189","DOIUrl":"https://doi.org/10.1080/01966324.2021.2007189","url":null,"abstract":"Abstract This article deals with the comparison between successive two-parameter exponential populations with respect to the location parameter when it is reasonable to assume that the populations are ordered in some natural way. It is well reported in the literature that if the interest of the experimenter is only in testing the significance of differences, the stepwise procedures are more powerful than the simultaneous confidence intervals procedures. This fact motivated us to extend the simultaneous confidence intervals procedure, for the differences between the location parameters of successive exponential populations, of Singh et al. (2006) to a stepwise procedure by proposing step-down tests for simultaneously testing the significance of the differences of the location parameters of successive two-parameter exponential populations. For a given type-I family-wise error rate (FWER), the critical constants are tabulated for the implementation of the proposed procedure by the practitioners. The advantage of the proposed procedure in comparison to the Singh et al. (2006) procedure is demonstrated by using a numerical example.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47016844","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

Properties of Bivariate Distributions Represented through Quantile Functions 用分位数函数表示的二元分布的性质

American Journal of Mathematical and Management Sciences Pub Date : 2021-12-23 DOI: 10.1080/01966324.2021.2016522

N. Unnikrishnan Nair, B. Vineshkumar

引用次数: 0

On Combining Independent Tests in Case of Log-Normal Distribution 对数-正态分布中独立检验的组合

American Journal of Mathematical and Management Sciences Pub Date : 2021-11-15 DOI: 10.1080/01966324.2021.1997676

Abedel-Qader Al-Masri

{"title":"On Combining Independent Tests in Case of Log-Normal Distribution","authors":"Abedel-Qader Al-Masri","doi":"10.1080/01966324.2021.1997676","DOIUrl":"https://doi.org/10.1080/01966324.2021.1997676","url":null,"abstract":"Abstract Combining p-values from independent statistical tests is a popular approach to meta-analysis, particularly when the data underlying the tests are either no longer available or are difficult to combine. For simple null hypotheses, given any non-parametric combination method which has a monotone increasing acceptance region, there exists a problem for which this method is most powerful against some alternative. Starting from this perspective and recasting each method of combining p-values as a likelihood ratio test, we present theoretical results for some of the standard combiners which provide guidance about how a powerful combiner might be chosen in practice. In this paper we consider the problem of combining independent tests as for testing a simple hypothesis in case of log-normal distribution. We study the six free-distribution combination test producers namely; Fisher, logistic, sum of p-values, inverse normal, Tippett’s method, and maximum of p-values. Moreover, we studying the behavior of these tests via the exact Bahadur slope. The limits of the ratios of every pair of these slopes are discussed as the parameter and As the maximum of p-values is better than all other methods, followed in decreasing order by the inverse normal, logistic, the sum of p-values, Fisher, and Tippett’s procedure. Whereas, the worst method the sum of p-values and the other methods remain the same, since they have the same limit. In the end, a numerical study to investigate these comparisons behavior in different values of It will be shown that the inverse normal method is the best method followed by the logistic method, the Fisher method and the sum of p-values method.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44914723","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

Methods of Estimation and Bias Corrected Maximum Likelihood Estimators of Unit Burr III Distribution 单位BurrⅢ分布的估计方法和偏差校正的最大似然估计

American Journal of Mathematical and Management Sciences Pub Date : 2021-08-28 DOI: 10.1080/01966324.2021.1963357

S. Dey, Liang Wang

引用次数: 1

EOQ Model for Exponentially Deteriorating Items with Planned Backorders without Differential Calculus 具有计划延期订单的指数劣化项目的EOQ模型

American Journal of Mathematical and Management Sciences Pub Date : 2021-08-27 DOI: 10.1080/01966324.2021.1957729

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引用次数: 2