Journal of Reliability and Statistical Studies最新文献_第4页

MMAPs to Model Complex Multi-State Systems with Vacation Policies in the Repair Facility 维修厂中具有休假策略的复杂多状态系统建模的MMAP

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Journal of Reliability and Statistical Studies Pub Date : 2022-07-27 DOI: 10.13052/jrss0974-8024.1524

J. E. Ruiz-Castro, Christian Acal

{"title":"MMAPs to Model Complex Multi-State Systems with Vacation Policies in the Repair Facility","authors":"J. E. Ruiz-Castro, Christian Acal","doi":"10.13052/jrss0974-8024.1524","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.1524","url":null,"abstract":"Two complex multi-state systems subject to multiple events are built in an algorithmic and computational way by considering phase-type distributions and Markovian arrival processes with marked arrivals. The internal performance of the system is composed of different degradation levels and internal repairable and non-repairable failures can occur. Also, the system is subject to external shocks that may provoke repairable or non-repairable failure. A multiple vacation policy is introduced in the system for the repairperson. Preventive maintenance is included in the system to improve the behaviour. Two types of task may be performed by the repairperson; corrective repair and preventive maintenance. The systems are modelled, the transient and stationary distributions are built and different performance measures are calculated in a matrix-algorithmic form. Cost and rewards are included in the model in a vector matrix way. Several economic measures are worked out and the net reward per unit of time is used to optimize the system. A numerical example shows that the system can be optimized according to the existence of preventive maintenance and the distribution of vacation time. The results have been implemented computationally with Matlab and R (packages: expm, optim).","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45050910","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 Software Reliability Model Using Fault Removal Efficiency 一种基于故障排除效率的软件可靠性模型

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Journal of Reliability and Statistical Studies Pub Date : 2022-07-27 DOI: 10.13052/jrss0974-8024.1523

Md. Asraful Haque, N. Ahmad

引用次数: 2

A Copula Based Stress-Strength Reliability Estimation with Lindley Marginals 基于Copula的Lindley Marginals应力强度可靠性估计

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Journal of Reliability and Statistical Studies Pub Date : 2022-06-02 DOI: 10.13052/jrss0974-8024.15114

A. James, N. Chandra, M. Pandey

{"title":"A Copula Based Stress-Strength Reliability Estimation with Lindley Marginals","authors":"A. James, N. Chandra, M. Pandey","doi":"10.13052/jrss0974-8024.15114","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.15114","url":null,"abstract":"The stress-strength model is a basic tool used in evaluating the reliability (R). It shows that a component or system with stress (Y) and strength (X) will fail if the stress exceeds the strength, and its counterpart allows it to function. Usually, the statistical independence between X and Y are assumed and reliability models are extensively developed in the literature. However, in real life, there are many situations in which the dependence stress-strength is taken into account. So it is important to consider and model the association between them. In this paper, we estimated R when the stress and strength parameters are linked by a Fralie-Gumble-Morgenstern copula with Lindley marginals. The estimates of reliability and dependence parameter are obtained by using maximum likelihood estimation (MLE), inference function margins (IFM), and semi parametric (SP) methods. In addition, the length of the asymptotic confidence interval and the coverage probability of the dependence parameter are also computed. A simulation study is performed to evaluate the effectiveness of the various estimates, and a real data set is also used for illustrative purposes.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48094176","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

Prosumption for Social Sustainability: Social-media Posting of DIY-cooking Outcomes During COVID-19 消费促进社会可持续发展:2019冠状病毒病期间diy烹饪成果的社交媒体发布

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Journal of Reliability and Statistical Studies Pub Date : 2022-06-02 DOI: 10.13052/jrss0974-8024.15115

Vibha Trivedi, Krishan Kumar Pandey, A. Trivedi

{"title":"Prosumption for Social Sustainability: Social-media Posting of DIY-cooking Outcomes During COVID-19","authors":"Vibha Trivedi, Krishan Kumar Pandey, A. Trivedi","doi":"10.13052/jrss0974-8024.15115","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.15115","url":null,"abstract":"Sharing of Do-It-Yourself (DIY) cooking outcomes on various social media platforms was one of the most visible phenomena on the digital landscapes during COVID-19 led lockdowns. Since the prosumption of food is not considered as a source of alternative food system only, but also as a source of pleasure, DIY-cooking-related social media posts during the lockdown were prevalent among internet users. This paper examines variations in the social media posting behavior of food prosumers based on four individual and three social factors of gender, age, marital status, and family structure. Responses from 198 Facebook food community members were used to test the statistical hypotheses. The analyses report that the need for entertainment value while posting on social media was different among different demographic factors, whereas self-discovery and social enhancement did not exhibit variations across demographics. The need for social presence mattered more for unmarried people during social isolation whereas females used DIY-cooking posting to fulfil the need for uniqueness. The implications for social sustainability and business practices are also discussed.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46220298","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

Improving Efficiencies of Ratio- and Product-type Estimators for Estimating Population Mean for Time-based Survey 提高比率型和乘积型估计器在基于时间的调查中估计总体平均值的效率

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Journal of Reliability and Statistical Studies Pub Date : 2022-05-07 DOI: 10.13052/jrss0974-8024.15113

Priyanka Chhaparwal, Sanjay Kumar

{"title":"Improving Efficiencies of Ratio- and Product-type Estimators for Estimating Population Mean for Time-based Survey","authors":"Priyanka Chhaparwal, Sanjay Kumar","doi":"10.13052/jrss0974-8024.15113","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.15113","url":null,"abstract":"Statisticians often use auxiliary information at an estimation stage to increase efficiencies of estimators. In this article, we suggest modified ratio- and product-type estimators utilizing the known value of the coefficient of variation of the auxiliary variable for a time-based survey. Further, to excel the performance of the suggested estimators, we utilize information from the past surveys along with the current surveys through hybrid exponentially weighted average. We obtain expressions for biases and mean square errors of the suggested estimators. The conditions, under which the suggested estimators have less mean square errors than that of other existing estimators, are also obtained. The results obtained through an empirical analysis examine the use of information from past surveys along with current surveys and show that the mean square errors and biases of the suggested estimators are less than that of the existing estimators. For example: for a sample size 5, mean square error and bias of the suggested ratio-type estimator are (0.0414,0.0065) which are less than (0.5581,0.0944) of the existing Cochran (1940) estimator, (0.4788,0.0758), of Sisodia and Dwivedi (1981) estimator and (0.0482,0.0082) of Muhammad Noor-ul-Amin (2020) estimator. Similarly, mean square error and bias of the suggested product- type estimator are (0.0025,−0.0006) which are less than (0.0612,−0.0096) of the existing Murthy (1964) estimator, (0.0286,−0.0071), of Pandey and Dubey (1988) estimator and (0.0053,−0.0008) of Muhammad Noor-ul-Amin (2020) estimator.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49401758","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: 2

GDUS-Modified Topp-Leone Distribution: A New Distribution with Increasing, Decreasing, and Bathtub Hazard Functions GDUS修正的Topp-Leone分布：一个具有增加、减少和浴缸危险函数的新分布

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Journal of Reliability and Statistical Studies Pub Date : 2022-05-07 DOI: 10.13052/jrss0974-8024.15112

A. Kaushik, U. Nigam

{"title":"GDUS-Modified Topp-Leone Distribution: A New Distribution with Increasing, Decreasing, and Bathtub Hazard Functions","authors":"A. Kaushik, U. Nigam","doi":"10.13052/jrss0974-8024.15112","DOIUrl":"https://doi.org/10.13052/jrss0974-8024.15112","url":null,"abstract":"In this paper, we propose an extension to the Topp-Leone distribution, as introduced by [20] using the Generalized-DUS transformation given by [8]. The Topp-Leone distribution is defined on interval (0,1) and has a characteristic J-shaped frequency curve. The newly extended version of Topp-Leone distribution accommodates a variety of shapes of hazard rate functions making it a versatile distribution. We have also derived explicit expressions for some properties like ordinary moments, conditional moments, distribution of order statistics, quantiles, mean deviation, and entropy. Further, we have also discussed results on identifiability, stress-strength reliability, and stochastic ordering that are concerned with two independent random variables. For inference regarding the unknown parameters of the distribution, we derive the equations which give their maximum likelihood estimators. We also present the asymptotic confidence intervals of the unknown parameters of the distribution, based on large sample property, using the Fisher information matrix. To facilitate further studies, a step-by-step algorithm is presented to produce a random sample from the distribution. Further, extensive simulation experiments are done to study the long-term behavior of the maximum likelihood estimators of the parameters through their mean squared error and mean absolute bias on the basis of large number of samples. The consistency of the MLEs is empirically proved. Lastly, the application of the proposed distribution is shown by fitting a real-life dataset over some existing distributions in the same range.","PeriodicalId":42526,"journal":{"name":"Journal of Reliability and Statistical Studies","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42752644","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

Bayesian Estimation for the Two Log-Logistic Models Under Joint Type II Censoring Schemes 联合II型筛选方案下两个对数- logistic模型的贝叶斯估计

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Journal of Reliability and Statistical Studies Pub Date : 2022-04-20 DOI: 10.13052/jrss0974-8024.15110

Ranjita Pandey, Pulkit Srivastava

引用次数: 0

On Some Improved Classes of Estimators Under Stratified Sampling Using Attribute 基于属性的分层抽样下几种改进的估计量

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Journal of Reliability and Statistical Studies Pub Date : 2022-04-16 DOI: 10.13052/jrss0974-8024.1518

Shashi Bhushan, Anoop Kumar, Dushyant Tyagi, Saurabh Singh

引用次数: 4

Design of Fuzzy Economic Order Quantity (EOQ) Model in the Presence of Inspection Errors in Single Sampling Plans 单抽样方案存在检验误差时的模糊经济订货量(EOQ)模型设计