American Journal of Mathematical and Management Sciences最新文献_第9页

Transmuted Burr Type X Distribution with Covariates Regression Modeling to Analyze Reliability Data 用协变量回归模型分析可靠性数据的转换毛刺X型分布

American Journal of Mathematical and Management Sciences Pub Date : 2020-04-02 DOI: 10.1080/01966324.2019.1605320

Muhammad Shuaib Khan, R. King, I. Hudson

引用次数: 7

Limit Theorems for Sums of Dependent and Non-Identical Bernoulli Random Variables 相关与非等价伯努利随机变量和的极限定理

American Journal of Mathematical and Management Sciences Pub Date : 2020-04-02 DOI: 10.1080/01966324.2019.1673266

Deepak Singh, Somesh Kumar

引用次数: 2

Improved Approximation Algorithm for the Fault-Tolerant Facility Placement Problem with Rejection 带拒绝的容错设施布局问题的改进逼近算法

American Journal of Mathematical and Management Sciences Pub Date : 2020-04-02 DOI: 10.1080/01966324.2019.1638853

Shu-Yi Yu

{"title":"Improved Approximation Algorithm for the Fault-Tolerant Facility Placement Problem with Rejection","authors":"Shu-Yi Yu","doi":"10.1080/01966324.2019.1638853","DOIUrl":"https://doi.org/10.1080/01966324.2019.1638853","url":null,"abstract":"SYNOPTIC ABSTRACT\u0000 In this article, we revisit an interesting variant of the fault-tolerant facility placement problem with rejection (FTFPWR, for short). In the FTFPWR, we are given a set of potential locations to open facilities, and a set of customers to be connected to a number of facilities to satisfy their demands. At each location we are allowed to open any number of facilities, each with its corresponding opening cost. Each customer has an integral demand which specifies the number of open facilities that it should be connected to. Some facilities that a customer is connected to could be located at the same location, as long as they are all different and open. For each location and customer pair we are also given a distance between them that represents the cost to connect one unit of demand from the customer to a facility at its location. We assume the distance function to be metric. The task is to choose a subset of locations to open facilities, and choose a subset of customers to connect their demands to the open facilities at locations with the remaining customers to be rejected by paying the rejection costs such that the sum of the facility opening costs, the connection costs, and the rejection costs is minimized. For the FTFPWR, the performance ratio of currently best approximation algorithm is 2.515. By introducing a randomized rounding approach and the derandomizing technique, we propose an improved approximation algorithm with the performance ratio of 2.07.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":"39 1","pages":"122 - 128"},"PeriodicalIF":0.0,"publicationDate":"2020-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/01966324.2019.1638853","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47440474","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

Management Strategies for the Defined Benefit Pension Fund Under Stochastic Framework 随机框架下的固定收益养老基金管理策略

American Journal of Mathematical and Management Sciences Pub Date : 2020-04-02 DOI: 10.1080/01966324.2019.1691095

P. Mwanakatwe, Lixin Song, Xiaoguang Wang

{"title":"Management Strategies for the Defined Benefit Pension Fund Under Stochastic Framework","authors":"P. Mwanakatwe, Lixin Song, Xiaoguang Wang","doi":"10.1080/01966324.2019.1691095","DOIUrl":"https://doi.org/10.1080/01966324.2019.1691095","url":null,"abstract":"Abstract In this article, we analyze the optimal contributions and investment strategies problem for a defined benefit pension fund. The pension fund manager allocates the capital in riskless and risky assets and the dynamics of the risky asset price follows the Hull and White stochastic volatility model. The choice of the Hull and White model is due to its mean-reverting property. The stochastic dynamic programing principle is used to derive the Hamilton-Jacob-Bellman (HJB) equation. Due to the complications of the HJB when finding the closed form solution, we use the Legendre transform and dual theory to transform the primary problem into a dual one. Furthermore, we obtain the closed form solutions for optimal strategies for the logarithm utility functions by variable transformation technique. Finally, a numerical example is conducted to analyze the effects of parameters in the model and provide some economic implications. To conclude, the Hull and White stochastic volatility model shown to have a substantial impact on the optimal investment strategies and thus can be exploited appropriately to improve the final wealth of the pension fund.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":"39 1","pages":"182 - 197"},"PeriodicalIF":0.0,"publicationDate":"2020-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/01966324.2019.1691095","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41548497","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

On Fixed-Width Confidence Limits for the Risk Ratio with Sequential Sampling 序列抽样风险比的固定宽度置信限

American Journal of Mathematical and Management Sciences Pub Date : 2020-04-02 DOI: 10.1080/01966324.2019.1679301

Hokwon A. Cho, Zhou Wang

引用次数: 0

Estimation and Prediction for the Power-Exponential Hazard Rate Distribution Based on Record Data 基于记录数据的幂指数危险率分布估计与预测

American Journal of Mathematical and Management Sciences Pub Date : 2020-04-02 DOI: 10.1080/01966324.2019.1664957

Bahman Tarvirdizade, N. Nematollahi

引用次数: 2

A Shootout Method for Time Minimizing Transportation Problem with Mixed Constraints 混合约束下时间最小化运输问题的弹射法

American Journal of Mathematical and Management Sciences Pub Date : 2020-03-02 DOI: 10.1080/01966324.2020.1730274

Swati Agarwal, S. Sharma

引用次数: 4

Modeling Price Cultivation for Major Quality Goods 主要优质商品的建模价格培养

American Journal of Mathematical and Management Sciences Pub Date : 2020-02-26 DOI: 10.1080/01966324.2020.1728452

Miao-Sheng Chen, M. Li, hsien-bin Wang

引用次数: 1

Two-Parameter Logistic-Exponential Distribution: Some New Properties and Estimation Methods 双参数logistic -指数分布:一些新的性质和估计方法

American Journal of Mathematical and Management Sciences Pub Date : 2020-02-24 DOI: 10.1080/01966324.2020.1728453

Sajid Ali, S. Dey, M. H. Tahir, M. Mansoor

{"title":"Two-Parameter Logistic-Exponential Distribution: Some New Properties and Estimation Methods","authors":"Sajid Ali, S. Dey, M. H. Tahir, M. Mansoor","doi":"10.1080/01966324.2020.1728453","DOIUrl":"https://doi.org/10.1080/01966324.2020.1728453","url":null,"abstract":"Abstract The logistic exponential (LE) distribution is the only two parameter distribution that exhibits five hazard rate shapes such as constant, increasing, decreasing, bathtub, and upside-down bathtub. Due to its practical utility, this article considers ten frequentist methods of estimation, namely, maximum likelihood, least square, weighted least square, percentiles, maximum and minimum spacing distance, and variant of the method of the minimum distances for the LE parameters. A Monte Carlo simulation study is carried out to compare the performance of these estimation methods. Furthermore, Bayesian estimation under the squared error loss function assuming gamma priors for both parameters of the LE distribution is also discussed. The posterior summaries are obtained by using a Markov chain Monte Carlo algorithm. To show the practical superiority, a real-life data is analyzed to show that the LE model performs better than the well-known two-parameter models, like, exponentiated-exponential, Nadarajah–Haghighi, Birnbaum–Saunders, Weibull, Gamma, inverse Gaussian, and log-normal.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":"39 1","pages":"270 - 298"},"PeriodicalIF":0.0,"publicationDate":"2020-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/01966324.2020.1728453","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49033803","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: 13

On Estimation of Stress-Strength Reliability Using Lower Record Values from Proportional Reversed Hazard Family 利用比例反向危险族的低记录值估算应力强度可靠性

American Journal of Mathematical and Management Sciences Pub Date : 2020-02-17 DOI: 10.1080/01966324.2020.1722299

Ajit Chaturvedi, Ananya Malhotra

{"title":"On Estimation of Stress-Strength Reliability Using Lower Record Values from Proportional Reversed Hazard Family","authors":"Ajit Chaturvedi, Ananya Malhotra","doi":"10.1080/01966324.2020.1722299","DOIUrl":"https://doi.org/10.1080/01966324.2020.1722299","url":null,"abstract":"Abstract In this article, a study on the stress-strength parameter based on lower record values from one parameter proportional reversed hazard family (PRHF) has been conducted. The classical and Bayesian results of Khan and Arshad (UMVU Estimation of Reliability Function and Stress-Strength Reliability from Proportional Reversed Hazard Family Based on Lower Records. American Journal of Mathematical and Management Sciences, 35(2), 171–181) and Condino et al. (Likelihood and Bayesian estimation of P(Y < X) using lower record values from a general class of distributions. Statistical Papers), when the strength and stress variables belong to different family of distributions from PRHF have been generalized. Uniformly minimum variance unbiased estimator (UMVUE), maximum likelihood estimator (MLE) and Bayes estimator (BE) are obtained for the powers of the parameter and reliability functions and The estimators of three parametric functions, namely, powers of parameter, and are interrelated, whereas, in the literature, researchers have handled the three estimation problems separately. Moreover, it is has been shown that the expressions for and are not required to estimate them. In this article, the technique of obtaining estimators of and is simpler as it does not require Rao-Blackwellization. Simulation studies have been performed for analyzing the behavior of the proposed estimators. An example using real data has also been considered as an illustration.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":"39 1","pages":"234 - 251"},"PeriodicalIF":0.0,"publicationDate":"2020-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/01966324.2020.1722299","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45359556","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: 5