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The Kumaraswamy Exponentiated Pareto Distribution Kumaraswamy指数Pareto分布
Economic Quality Control Pub Date : 2013-10-01 DOI: 10.1515/eqc-2013-0006
I. Elbatal
{"title":"The Kumaraswamy Exponentiated Pareto Distribution","authors":"I. Elbatal","doi":"10.1515/eqc-2013-0006","DOIUrl":"https://doi.org/10.1515/eqc-2013-0006","url":null,"abstract":"Abstract Modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time, the called Kumaraswamy Exponentiated Pareto distribution, is introduced. Some structural properties of the proposed distribution are studied including explicit expressions for the moments and generating function. An explicit expression for Rényi entropy is obtained. The method of maximum likelihood is used for estimating the model parameters.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128276799","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: 26
Posterior Distribution and Loss Functions for Parameter Estimation in Weibull Processes 威布尔过程参数估计的后验分布和损失函数
Economic Quality Control Pub Date : 2006-04-01 DOI: 10.1515/EQC.2006.31
Franke Jürgen
{"title":"Posterior Distribution and Loss Functions for Parameter Estimation in Weibull Processes","authors":"Franke Jürgen","doi":"10.1515/EQC.2006.31","DOIUrl":"https://doi.org/10.1515/EQC.2006.31","url":null,"abstract":"Counting processes are used in modelling of repairable systems. In Bayesian parameter inference the choice of fitted prior distributions and loss functions has great importance. This paper deals with studies of prior and posterior densities. Simulation enables comparisons of estimators obtained with different loss functions. Especially, in the case of a Weibull process, properties relative to prior and posterior distributions are investigated.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2006-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133214567","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
OECD PISA - An Example of Stochastic Illiteracy? OECD PISA——随机文盲的一个例子?
Economic Quality Control Pub Date : 2001-10-01 DOI: 10.1515/EQC.2001.227
E. Collani
{"title":"OECD PISA - An Example of Stochastic Illiteracy?","authors":"E. Collani","doi":"10.1515/EQC.2001.227","DOIUrl":"https://doi.org/10.1515/EQC.2001.227","url":null,"abstract":"PISA stands for “Programme for International Student Assessment” performed, by the OECD and consisting of a cyclic evaluation of the new generations' basic competences. The first evaluation took place in 2000 and the results were published on 4 December 2001. According to the official statements an overall of 32 countries participated in this first study. The publication of the results in Germany caused some great excitement, as Germany the “country of arts and science” was ranked at the lower edge not so far from Brazil. Politicians, teachers, scientists and any other people expressed their opinions, looked for those responsible, for the bad state and demanded immediate actions for improving the education in Germany.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"95 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122307747","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
Modelling of Explosives Sensitivity Part 1: The Bruceton Method 炸药敏感性建模。第1部分:布鲁顿法
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/EQC.2002.113
Wild Roland, E. Collani
{"title":"Modelling of Explosives Sensitivity Part 1: The Bruceton Method","authors":"Wild Roland, E. Collani","doi":"10.1515/EQC.2002.113","DOIUrl":"https://doi.org/10.1515/EQC.2002.113","url":null,"abstract":"Considerable work has been done to investigate the sensitivity of explosive materials. Various methods are developed for determining statistically the “explosion characteristics”. Any statistical method is based on a stochastic model and, clearly, an inappropriate model yields generally meaningless results, independently of the applied method. The most commonly applied method in the field of explosive material is known as Bruceton method. In this paper the Bruceton method and the underlying model are analyzed critically and the conclusion is drawn that the Bruceton method cannot be recommended for determining the sensitivity of explosive material. In a subsequent paper a different approach to solve the problem will be suggested.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"1 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":"114642721","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: 8
Urban Planning for Change: Data and Projections in City of Flint Master Plans (1920, 1960 & 2013) 变革中的城市规划:弗林特市总体规划的数据和预测(1920、1960和2013)
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2014-0010
D. Walling
{"title":"Urban Planning for Change: Data and Projections in City of Flint Master Plans (1920, 1960 & 2013)","authors":"D. Walling","doi":"10.1515/eqc-2014-0010","DOIUrl":"https://doi.org/10.1515/eqc-2014-0010","url":null,"abstract":"The City of Flint, Michigan, USA has experienced extreme population and economic variability in the past one hundred and fty years. The City of Flint developed three comprehensive or master plans in order to assess available data, make projections and propose recommendations. The ways in which each plan proved to contain accuracies and failures is instructive for the practices of historical statistical methods and urban planning, particularly as it relates to spatial data. The three plans will be considered in three main sections: planning for population growth (1920), planning for regional rationalization (1960), and planning for a exible future (2013). Population projections, residential density patterns, and economic and employment data will be reviewed and compared against the planning recommendations and realities. The relationship between statistics and spatial analysis is examined. Discussion is included on ways data and statistical analysis can be utilized for public decision-making and assist with governing.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"31 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":"116895313","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 Note on a Generalization of the Exponentiated Pareto Distribution 关于指数帕累托分布的一个推广注记
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2014-0008
I. Elbatal, Faton Merovci
{"title":"A Note on a Generalization of the Exponentiated Pareto Distribution","authors":"I. Elbatal, Faton Merovci","doi":"10.1515/eqc-2014-0008","DOIUrl":"https://doi.org/10.1515/eqc-2014-0008","url":null,"abstract":"Abstract In this paper we introduce the so-called McDonald Exponentiated Pareto distribution. We provide a number of mathematical properties of this distribution and derive among others expressions for its moment-generating function, the rth moment, and the Renyi entropy. Finally, we present the likelihood equations to support the application of the McDonald Exponentiated Pareto distribution. The aim of the paper is to introduce an interesting distribution which is distinguished by high flexibility with respect to skewness and tail behavior.","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":"125318778","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
Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa Distribution 基于截断寿命试验的三参数Kappa分布的验收抽样方案
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2014-0006
A. Al-Omari
{"title":"Acceptance Sampling Plan Based on Truncated Life Tests for Three Parameter Kappa Distribution","authors":"A. Al-Omari","doi":"10.1515/eqc-2014-0006","DOIUrl":"https://doi.org/10.1515/eqc-2014-0006","url":null,"abstract":"Abstract This paper considers the problem of an acceptance sampling plan for a truncated life test when the lifetime follows the three parameter Kappa distribution. For different acceptance numbers, confidence levels and values of the ratio of the fixed experiment time to the specified lower bound of the mean lifetime, the minimum sample sizes necessary to ensure a specified mean lifetime are obtained. The operating characteristic function values of the suggested sampling plans and the corresponding producer's risk are stated. Tables are provided so that the plans can be easily applied in practice.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"11 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":"115263488","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: 28
Numerical Methods of Karhunen–Loève Expansion for Spatial Data 空间数据karhunen - lo<e:1>展开的数值方法
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2015-6005
Juan Hu, Hao Zhang
{"title":"Numerical Methods of Karhunen–Loève Expansion for Spatial Data","authors":"Juan Hu, Hao Zhang","doi":"10.1515/eqc-2015-6005","DOIUrl":"https://doi.org/10.1515/eqc-2015-6005","url":null,"abstract":"Abstract With the development of technology, a large amount of spatial data are usually observed in many applications. These massive spatial data impose a challenge to the traditional spatial data analysis primarily because of the large covariance matrix. One way to overcome the computation burden is to utilize a low rank model. The optimal low rank model is provided by the Karhunen–Loève (KL) expansion of the spatial process. However, the inference and prediction of the spatial data require an efficient algorithm for the KL expansion. In this paper, we compare four algorithms that have been proposed to numerically obtain the KL expansion. It is found that the Gaussian quadrature method outperforms the others for spatial processes.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"34 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":"121160347","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
Measurement Procedures for the Variance of a Normal Distribution 正态分布方差的测量程序
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/EQC.2002.155
E. Collani, D. Monica, Panaite Victorina
{"title":"Measurement Procedures for the Variance of a Normal Distribution","authors":"E. Collani, D. Monica, Panaite Victorina","doi":"10.1515/EQC.2002.155","DOIUrl":"https://doi.org/10.1515/EQC.2002.155","url":null,"abstract":"Neyman prediction and measurement procedures have been discussed by E.v. Collani, M. Dumitrescu and their co-workers since 1999. These procedures offer optimal, however, computational rather intensive ways for predicting with respect to the future outcome of a random variable and measuring with respect to the actual value of a deterministic variable under the realistic condition that the range of variability of any involved variable is bounded.","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"30 6 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":"116337700","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
An ARL-Unbiased np-Chart 一个arl无偏np图
Economic Quality Control Pub Date : 1900-01-01 DOI: 10.1515/eqc-2015-0013
M. Morais
{"title":"An ARL-Unbiased np-Chart","authors":"M. Morais","doi":"10.1515/eqc-2015-0013","DOIUrl":"https://doi.org/10.1515/eqc-2015-0013","url":null,"abstract":"Abstract We usually assume that counts of nonconforming items have a binomial distribution with parameters (n,p), where n and p represent the sample size and the fraction nonconforming, respectively. The non-negative, discrete and usually skewed character and the target mean (np 0 )${(np_0)}$ of this distribution may prevent the quality control engineer to deal with a chart to monitor p with: a pre-specified in-control average run length (ARL), say α -1 ${alpha ^{-1}}$ ; a positive lower control limit; the ability to control not only increases but also decreases in p in an expedient fashion. Furthermore, as far as we have investigated, the np- and p-charts proposed in the Statistical Process Control literature are ARL-biased, in the sense that they take longer, in average, to detect some shifts in the fraction nonconforming than to trigger a false alarm. Having all this in mind, this paper explores the notions of uniformly most powerful unbiased tests with randomization probabilities to eliminate the bias of the ARL function of the np-chart and to bring its in-control ARL exactly to α -1 ${alpha ^{-1}}$ .","PeriodicalId":360039,"journal":{"name":"Economic Quality Control","volume":"22 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":"124048641","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
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