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Stochastic Measurement Procedures Based on Stationary Time Series 基于平稳时间序列的随机测量程序
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/EQC.2008.155
D. Monica
{"title":"Stochastic Measurement Procedures Based on Stationary Time Series","authors":"D. Monica","doi":"10.1515/EQC.2008.155","DOIUrl":"https://doi.org/10.1515/EQC.2008.155","url":null,"abstract":"Stochastic measurement procedures have been proposed and developed in several articles published in EQC. In contrast to the traditional measurement procedures that use the obsolete error propagation formula for taking into account measurement uncertainty, stochastic measurement procedures include the entire uncertainty of the measurement process in a natural and rational way. In this paper the concept of stochastic measurement procedure is extended to the case that the measurement process is given by a stochastic process or more precisely said by a time series. This case appears often for economic phenomena. In this paper, only the feasibility of such measurement procedures shall be demonstrated and the considerations are therefore restricted to some simple and rather unrealistic examples. In a realistic case an appropriate stochastic model must be developed following the rules of stochastic modelling.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114792331","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
Solving a Functional Equation and Characterizing Distributions by Quantile Past Lifetime Functions 解一个泛函方程和用过去寿命分位数函数表征分布
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2015-0017
M. Shafaei Noughabi
{"title":"Solving a Functional Equation and Characterizing Distributions by Quantile Past Lifetime Functions","authors":"M. Shafaei Noughabi","doi":"10.1515/eqc-2015-0017","DOIUrl":"https://doi.org/10.1515/eqc-2015-0017","url":null,"abstract":"Abstract In this paper, a special case of Schröder's functional equation is solved. Then, the general solution of the equation is utilized to determine the class of distributions by their α-quantile past lifetime function.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123661854","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
Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications Marshall-Olkin Morgenstern-Weibull分布:推广和应用
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2013-0018
Kanichukattu Korakutty Jose, Rani Sebastian
{"title":"Marshall–Olkin Morgenstern–Weibull distribution: generalisations and applications","authors":"Kanichukattu Korakutty Jose, Rani Sebastian","doi":"10.1515/eqc-2013-0018","DOIUrl":"https://doi.org/10.1515/eqc-2013-0018","url":null,"abstract":"Abstract In this paper a new bivariate distribution called Marshall–Olkin–Morgenstern-bivariate-Weibull distribution is introduced and studied. Two different models of minification processes with the above bivariate distribution as stationary marginal distribution are developed. It is shown that the process is strictly stationary. The properties of the process are derived. The expressions for reliability under stress-strength analysis when the components are in series and parallel are obtained. The process is extended to pth order as well as k-variate cases.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"186 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124723936","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: 6
Order k Version of the Alternative Hyper-Poisson Distribution 备选超泊松分布的k阶版本
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2013-0017
C. Kumar, B. Nair
{"title":"Order k Version of the Alternative Hyper-Poisson Distribution","authors":"C. Kumar, B. Nair","doi":"10.1515/eqc-2013-0017","DOIUrl":"https://doi.org/10.1515/eqc-2013-0017","url":null,"abstract":"Abstract In this paper we develop an order k version of the alternative hyper-Poisson distribution of Kumar and Nair (Statistica, 2012) and study some of its important properties such as its probability mass function, first moment, variance and recurrence relations for its probabilities, raw moments and factorial moments. The estimation of the parameters of this class of distribution by various methods of estimation is also considered and demonstrated with the help of a real data set.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129685812","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
Acceptance Sampling Plans Under Truncated Life Tests Assuming a Half Exponential Power Life Distribution 假设半指数功率寿命分布的截短寿命试验下的验收抽样计划
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2013-0015
Wenhao Gui
{"title":"Acceptance Sampling Plans Under Truncated Life Tests Assuming a Half Exponential Power Life Distribution","authors":"Wenhao Gui","doi":"10.1515/eqc-2013-0015","DOIUrl":"https://doi.org/10.1515/eqc-2013-0015","url":null,"abstract":"Abstract In this paper, we consider acceptance sampling plans assuming a half exponential power life distribution and a life test that is truncated at a preassigned time. For various acceptance numbers, confidence levels and values of the ratio of the true mean lifetime to the specified mean life, we determine the minimum sample size necessary to ensure a certain mean lifetime. The operating characteristic function of the sampling plans and the associated producer's risks are derived and also discussed. We illustrate the use of the acceptance sampling plans based on displayed tables with some numerical examples.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"132 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127091615","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
Statistical Process Control Methods from the Viewpoint of Industrial Application 从工业应用的角度看统计过程控制方法
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/EQC.2001.49
Anghelache Constantin
{"title":"Statistical Process Control Methods from the Viewpoint of Industrial Application","authors":"Anghelache Constantin","doi":"10.1515/EQC.2001.49","DOIUrl":"https://doi.org/10.1515/EQC.2001.49","url":null,"abstract":"Statistical process control is a major part of industrial statistics and consists not only of control charting, but also of capability analysis, of design of experiments and other statistical techniques. This paper reviews and comments some available techniques for the univariate as well as for the multivariate case from the viewpoint of industrial application.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130602263","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: 9
Multivariate Process Capability Index: A Review and Some Results 多元过程能力指数综述及一些结果
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2013-0022
Nandini Das, Prem Saurav Dwivedi
{"title":"Multivariate Process Capability Index: A Review and Some Results","authors":"Nandini Das, Prem Saurav Dwivedi","doi":"10.1515/eqc-2013-0022","DOIUrl":"https://doi.org/10.1515/eqc-2013-0022","url":null,"abstract":"Abstract Process capability is defined as inherent variability of a process which is running under chance cause of variation only. Process capability index is measuring the ability of a process to meet the product specification limit. Generally Cp and Cpk have been widely used as statistical tools to assess the manufacturing process performance. These indices provide numerical measures on process precision, process accuracy and process performance. The multivariate process capability indices, which are used for evaluation of processes with correlated quality characteristics are considered as new emerging research area. In this paper, we describe an approach of estimating multivariate process capability indices assuming multivariate g-and-h distribution and illustrate their performance using simulated and practical data set.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127932424","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: 12
Bayesian Prediction Bounds for the Exponential-Type Distribution Based on Ordered Ranked Set Sampling 基于有序排序集抽样的指数型分布的贝叶斯预测界
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2016-0001
M. S. Kotb
{"title":"Bayesian Prediction Bounds for the Exponential-Type Distribution Based on Ordered Ranked Set Sampling","authors":"M. S. Kotb","doi":"10.1515/eqc-2016-0001","DOIUrl":"https://doi.org/10.1515/eqc-2016-0001","url":null,"abstract":"Abstract We suggest a ranked set sample method to improve Bayesian prediction intervals. The paper deals with the Bayesian prediction intervals in the context of an ordered ranked set sample from a certain class of exponential-type distributions. A proper general prior density function is used and the predictive cumulative function is obtained in the two-sample case. The special case of linear exponential distributed observations is considered and completed with numerical results.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115436299","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
Estimation on a GAR(1) Process by the EM Algorithm 基于EM算法的GAR(1)过程估计
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/EQC.2007.165
Popovici Georgiana, D. Monica
{"title":"Estimation on a GAR(1) Process by the EM Algorithm","authors":"Popovici Georgiana, D. Monica","doi":"10.1515/EQC.2007.165","DOIUrl":"https://doi.org/10.1515/EQC.2007.165","url":null,"abstract":"Because of the increasing number of interrelated processes continuous monitoring and controlling of processes get more and more important. Time series constitute one possibility of modelling processes in order to determine an appropriate monitoring policy. One major problem when deriving a time series consists of estimating the values of the relevant parameters. This paper deals with the estimation of the parameters of a first order autoregressive gamma process by means of the EM algorithm. The formulae of the EM sequence are derived, the convergence of the procedure is established and the results of a simulation study are presented. The EM algorithm proves to be an appropriate estimation procedure in the case of the complex statistical model represented by a GAR(1) process.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115287419","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
Performability of Two Modules in Series 两个模块串联的可执行性
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/EQC.2002.13
S. MoustafaMagdi
{"title":"Performability of Two Modules in Series","authors":"S. MoustafaMagdi","doi":"10.1515/EQC.2002.13","DOIUrl":"https://doi.org/10.1515/EQC.2002.13","url":null,"abstract":"The paper presents a combined model of reliability and performance (performability model) of two modules in series, each has C components in parallel. The objective of the paper is to illustrate the effect of the reliability on the performance. The paper emphasizes homogeneous continuous-time Markov process and queueing approach for reliability and performance models respectively. A numerical example when C=2 is provided to illustrate the results.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122019491","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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