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Multicomponent Stress-strength Reliability with Exponentiated Teissier Distribution 指数Teissier分布下的多分量应力-强度可靠性
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-08-26 DOI: 10.17713/ajs.v51i4.1327
Hossein Pasha-Zanoosi, A. Pourdarvish, A. Asgharzadeh
{"title":"Multicomponent Stress-strength Reliability with Exponentiated Teissier Distribution","authors":"Hossein Pasha-Zanoosi, A. Pourdarvish, A. Asgharzadeh","doi":"10.17713/ajs.v51i4.1327","DOIUrl":"https://doi.org/10.17713/ajs.v51i4.1327","url":null,"abstract":"This article deals with the problem of reliability in a multicomponent stress-strength (MSS) model when both stress and strength variables are from exponentiated Teissier (ET) distributions. The reliability of the system is determined using both classical and Bayesian methods, based on two scenarios where the common scale parameter is unknown or known. In the first scenario, where the common scale parameter is unknown, the maximum likelihood estimation (MLE) and the approximate Bayes estimation are derived. In the second scenario, where the scale parameter is known, the MLE, the uniformly minimum variance unbiased estimator (UMVUE) and the exact Bayes estimation are obtained. In the both scenarios, the asymptotic confidence interval and the highest probability density credible interval are established. Furthermore, two other asymptotic confidence intervals are computed based on the Logit and Arcsin transformations. Monte Carlo simulations are implemented to compare the different proposed methods. Finally, one real example is presented in support of suggested procedures.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"30 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84741705","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
Exponential Transformed Inverse Rayleigh Distribution: Statistical Properties and Different Methods of Estimation 指数变换逆瑞利分布:统计性质和不同的估计方法
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-08-26 DOI: 10.17713/ajs.v51i4.1338
P. Banerjee, Shreya Bhunia
{"title":"Exponential Transformed Inverse Rayleigh Distribution: Statistical Properties and Different Methods of Estimation","authors":"P. Banerjee, Shreya Bhunia","doi":"10.17713/ajs.v51i4.1338","DOIUrl":"https://doi.org/10.17713/ajs.v51i4.1338","url":null,"abstract":"In this article a generalization of the inverse Rayleigh distribution has been addressed by using DUS transformation, named as Exponential Transformed Inverse Rayleigh (ETIR) distribution. Some of the statistical properties of this newly proposed distribution like mode, quantiles, moment, moment generating function, survival and hazard rate function have been studied comprehensively. To estimate the parameter of this distribution, four different estimation procedures, such as maximum likelihood estimation (MLE), maximum product spacing method (MPS), least square method (LSE) and weighted least square method (WLSE) are briefly discussed. Performance of these estimates are compared using extensive simulations. As an application point of view the model superiority is verified through two real datasets.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"111 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90225057","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
An Extensive Comparisons of 50 Univariate Goodness-of-fit Tests for Normality 50个单变量正态拟合优度检验的广泛比较
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-08-22 DOI: 10.17713/ajs.v51i3.1279
S. Uyanto
{"title":"An Extensive Comparisons of 50 Univariate Goodness-of-fit Tests for Normality","authors":"S. Uyanto","doi":"10.17713/ajs.v51i3.1279","DOIUrl":"https://doi.org/10.17713/ajs.v51i3.1279","url":null,"abstract":"The assumption of normality needs to be checked for many statistical procedures, namely parametric tests, because their validity depends on it. Given the importance of this subject and the widespread development of normality tests, comprehensive descriptionsand power comparisons of such tests are of considerable interest. Since recent comparison studies do not include several interesting and more recently developed tests, a further comparison of normality tests is considered to be of foremost interest. This study addresses the performance of 50 normality tests available in literature, from 1900 until 2018. Because a theoretical comparison is not possible, Monte Carlo simulation were used from various symmetric and asymmetric distributions for different sample sizes ranging from 10 to 100. The simulations results show that for symmetric distributions with support on (−∞, ∞) the tests Robust Jarque–Bera and Gel–Miao–Gastwirth have generally the most power. For asymmetric distributions with support on (−∞, ∞) the tests 1st Cabana-Cabanaand 2nd Zhang-Wu have the most power. For distributions with support on (0, ∞), and distributions with support on (0, 1) the test 2nd Zhang-Wu has generally the most power.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"35 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77950330","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
Cubic Transmuted Rayleigh Distribution: Theory and Application 三次变形瑞利分布:理论与应用
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-08-22 DOI: 10.17713/ajs.v51i3.1280
M. Rahman
{"title":"Cubic Transmuted Rayleigh Distribution: Theory and Application","authors":"M. Rahman","doi":"10.17713/ajs.v51i3.1280","DOIUrl":"https://doi.org/10.17713/ajs.v51i3.1280","url":null,"abstract":"In this paper, the Rayleigh distribution is generalized using the cubic transmuted (CT) family studied by Rahman et al. (in EJPAM, 12(3), 1106-1121, 2019) to propose a cubic transmuted Rayleigh distribution. An overall description is presented here for the distributional properties, parameter estimation, inference procedure, reliability behavior, and distribution of different order statistics. A real-life data set is used to demonstrate the applicability of the proposed distribution for modeling data.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"13 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84920800","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
Order Selection in a Finite Mixture of Birnbaum-Saunders Distributions 有限混合Birnbaum-Saunders分布中的阶选择
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-08-22 DOI: 10.17713/ajs.v51i3.1266
Walaa EL- Sharkawy, M. Ismail
{"title":"Order Selection in a Finite Mixture of Birnbaum-Saunders Distributions","authors":"Walaa EL- Sharkawy, M. Ismail","doi":"10.17713/ajs.v51i3.1266","DOIUrl":"https://doi.org/10.17713/ajs.v51i3.1266","url":null,"abstract":"One of the most significant and difficult problems in a mixture study is the selection of the number of components. In this paper, using a Monte Carlo study, we evaluate and compare the performance of several information criteria for selecting the number of components arising from a mixture of Birnbaum-Saunders distributions. In our comparison, we consider information criteria based on likelihood-based statistics and classification likelihood-based statistics. The performance of information criteria is determined based on the success rate in selecting the number of components. In the simulation study, we investigate the effect of degrees of separation, sample sizes, mixing proportions, and true model complexity on the performance of information criteria. Furthermore, we compare the performance of the proposed information criteria under unpenalized and penalized estimation. Finally, we discuss the performance of the proposed information criteria for a real data set.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"162 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86439980","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
Analysis of Survival Data by a Weibull-generalized Sibuya Distribution 用Weibull-generalized Sibuya分布分析生存数据
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-08-22 DOI: 10.17713/ajs.v51i3.1273
F. Almathkour, M. E. Ghitany, Ramesh C. Gupta, J. Mazucheli
{"title":"Analysis of Survival Data by a Weibull-generalized Sibuya Distribution","authors":"F. Almathkour, M. E. Ghitany, Ramesh C. Gupta, J. Mazucheli","doi":"10.17713/ajs.v51i3.1273","DOIUrl":"https://doi.org/10.17713/ajs.v51i3.1273","url":null,"abstract":"In this paper, we consider a survival model of a series system with random sample size, Z. Such a situation arises in competing risk analysis where the number of causes of failure is random and only the minimum of the survival times due to various causes is observed. Considering the distribution of Z as generalized Sibuya and the baseline distribution as Weibull, a Weibull-generalized Sibuya distribution is derived. The structural properties of the proposed model are studied along with the maximum likelihood estimation of the parameters. Extensive simulation studies are carried out to study the performance of the estimators. For illustration, two real data sets are analyzed and it is shown that the proposed model fits better than some of the existing models.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"46 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85790048","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
Gram-Charlier A Series Based Extended Rule-of-Thumb for Bandwidth Selection in Univariate Kernel Density Estimation 基于Gram-Charlier级数的单变量核密度估计中带宽选择的扩展经验法则
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-08-22 DOI: 10.17713/ajs.v51i3.1204
B. Dharmani
{"title":"Gram-Charlier A Series Based Extended Rule-of-Thumb for Bandwidth Selection in Univariate Kernel Density Estimation","authors":"B. Dharmani","doi":"10.17713/ajs.v51i3.1204","DOIUrl":"https://doi.org/10.17713/ajs.v51i3.1204","url":null,"abstract":"Bandwidth parameter estimation in univariate Kernel Density Estimation has traditionally two approaches. Rule(s)-of-Thumb (ROT) achieve ‘quick and dirty’ estimations with some specific assumption for an unknown density. More accurate solve-the-equation-plug-in (STEPI) rules have almost no direct assumption for the unknown density but demand high computation. This article derives a balancing third approach. Extending an assumption of Gaussianity for the unknown density to be estimated in textit{normal reference} ROT (NRROT) to near Gaussianity, and then expressing the density using Gram-Charlier A (GCA) series to minimize the asymptotic mean integrated square error, it derives GCA series based Extended ROT (GCAExROT). The performance analysis using the simulated and the real datasets suggests to replace NRROT by a modified GCAExROT rule achieving a balancing performance by accuracy nearer to STEPI rules at computation nearer to NRROT, specifically at small samples.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"250 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73529886","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
Corona: Konzepte für eine verbesserte statistische Datenbasis 关于改善统计数据的方法
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-08-22 DOI: 10.17713/ajs.v51i3.1350
W. Grossmann, P. Hackl, J. Richter
{"title":"Corona: Konzepte für eine verbesserte statistische Datenbasis","authors":"W. Grossmann, P. Hackl, J. Richter","doi":"10.17713/ajs.v51i3.1350","DOIUrl":"https://doi.org/10.17713/ajs.v51i3.1350","url":null,"abstract":"Die Corona-Statistiken und deren Interpretation stehen im Fokus des öffentlichen Interesses. Die Daten spielen bei Maßnahmen zur Eindämmung der Pandemie eine zentrale Rolle. Betrachtet man den status quo der veröffentlichten Corona-Datenbasis, so klafft zwischen den berechtigten Wünschen und den Notwendigkeiten einer evidenzbasierten Entscheidungsfindung auf der einen Seite und der Wirklichkeit auf der anderen Seite eine bedauerliche Diskrepanz. Es gilt, deutlich verbesserte statistische Grundlagen zur Einschätzung der Situation, zur Information der Bevölkerung und für weiterführende Analysen zu schaffen. Dazu will der Beitrag konkrete Schritte vorschlagen. \u0000Im Abschnitt 2 werden die vorhandenen Daten nach den für die Amtliche Statistik geltenden Qualitätskriterien analysiert. Im Abschnitt 3 wird zuerst ein Konzept zur Erstellung eines {sl Statistischen Corona Registers} und dann -- als entscheidender Schritt -- ein Konzept zur Einbeziehung von demographischen und sozialstatistischen Daten in das Register entwickelt. Ein solches {sl Erweitertes Statistisches Corona Register} böte umfassende Analysemöglichkeiten und könnte als Vorstufe für ein Statistisches Data Warehouse für das epidemiologische Geschehen angesehen werden. In Abschnitt 4 werden einige Analysemöglichkeiten mit dem vorgeschlagenen {sl Erweiterten Statistischen Corona Register aufgezeigt}. Abschnitt 5 diskutiert Fragen des Berichtswesens, Abschnitt 6 fasst die Ergebnisse zusammen.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"24 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78720758","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
Assessing SARS-CoV-2 Prevalence in Austria with Sample Surveys in 2020 - A Report 利用抽样调查评估奥地利2020年SARS-CoV-2的流行情况——一份报告
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-08-22 DOI: 10.17713/ajs.v51i3.1320
A. Kowarik, M. Paškvan, Marlene Weinauer, Matthias Till, Karin Schrittwieser, T. Göllner
{"title":"Assessing SARS-CoV-2 Prevalence in Austria with Sample Surveys in 2020 - A Report","authors":"A. Kowarik, M. Paškvan, Marlene Weinauer, Matthias Till, Karin Schrittwieser, T. Göllner","doi":"10.17713/ajs.v51i3.1320","DOIUrl":"https://doi.org/10.17713/ajs.v51i3.1320","url":null,"abstract":"Since the beginning of the SARS-CoV-2 pandemic a main metric is the amount of infected people at any given time. We present a valid assessment of the population acutely infected by SARS-CoV-2 in Austria at three distinct points in time: April, May and November 2020. The population of these sample surveys includes people aged 16 or older living in private households.Participants were tested with PCR (polymerase chain reaction) tests using nose-throat swabs. Based on these tests, it is assumed that the number of acute SARS-CoV-2 infections was below 11,000 individuals, or 0.15% of the target population, in April, below 6,000, in May and below 265,000 in November (i.e. the upper limit of the 95% confidence interval). In November a comparison with the Austrian Epidemiological Reporting System reveals that more than estimated 50% of acute infections remain undetected by the official reporting obligations.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"71 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83944142","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
The COVID-19 Outbreak and National Accounts - Some Remarks on Selected Aspects 新冠肺炎疫情与国民经济核算——若干问题评述
IF 0.6
Austrian Journal of Statistics Pub Date : 2022-02-06 DOI: 10.17713/ajs.v50i4.1295
J. Richter
{"title":"The COVID-19 Outbreak and National Accounts - Some Remarks on Selected Aspects","authors":"J. Richter","doi":"10.17713/ajs.v50i4.1295","DOIUrl":"https://doi.org/10.17713/ajs.v50i4.1295","url":null,"abstract":"The outbreak of COVID-19 has had severe impacts on the ability of statistical authorities to compile national accounts data in the usual way. There is a lack of usually available primary information and a need to deal with a number of new policy measures taken in the context of the COVID-19 crisis. At the same time, the new situation may be an incentive to reconsider some of the basic concepts of national accounts and the way these concepts are operationalised.\u0000The emphasis of this contribution is laid on the concepts of production and of volume measurement of production. Two examples were chosen: a) the implications of changes in the travel habits, in particular of holders of season tickets and b) the reduced number of spectators allowed in theatrical and opera performances. As shown, the methodological alternatives for dealing with these changes offered in the European legislation might lead to quite different results. The two examples reveal that similar situations are treated rather differently.\u0000The examples also indicate that the methodological alternatives pursue different concepts of production. In order to make adequate use of national accounts, empirical economists need to be well informed about the definitions and processes that lead to the data under usual conditions and in particular under exceptional circumstances such as the COVID-19 crisis.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"255 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72973185","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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