Austrian Journal of Statistics最新文献_第9页

On the Strong Law of Large Numbers for Nonnegative Random Variables. With an Application in Survey Sampling 关于非负随机变量的强大数定律。在调查抽样中的应用

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-07-05 DOI: 10.17713/AJS.V50I3.631

Tobias Schoch

引用次数: 0

Bias-Corrected Maximum Likelihood Estimators of the Parameters of the Unit-Weibull Distribution 单位威布尔分布参数的偏差校正极大似然估计

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-07-05 DOI: 10.17713/AJS.V50I3.1023

A. Menezes, J. Mazucheli, F. Alqallaf, M. E. Ghitany

{"title":"Bias-Corrected Maximum Likelihood Estimators of the Parameters of the Unit-Weibull Distribution","authors":"A. Menezes, J. Mazucheli, F. Alqallaf, M. E. Ghitany","doi":"10.17713/AJS.V50I3.1023","DOIUrl":"https://doi.org/10.17713/AJS.V50I3.1023","url":null,"abstract":"It is well known that the maximum likelihood estimates (MLEs) have appealing statistical properties. Under fairly mild conditions their asymptotic distribution is normal, and no other estimator has a smaller asymptotic variance.However, in finite samples the maximum likelihood estimates are often biased estimates and the bias disappears as the sample size grows.Mazucheli, Menezes, and Ghitany (2018b) introduced a two-parameter unit-Weibull distribution which is useful for modeling data on the unit interval, however its MLEs are biased in finite samples.In this paper, we adopt three approaches for bias reduction of the MLEs of the parameters of unit-Weibull distribution.The first approach is the analytical methodology suggested by Cox and Snell (1968), the second is based on parametric bootstrap resampling method, and the third is the preventive approach introduced by Firth (1993).The results from Monte Carlo simulations revealed that the biases of the estimates should not be ignored and the bias reduction approaches are equally efficient. However, the first approach is easier to implement.Finally, applications to two real data sets are presented for illustrative purposes.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"194 3 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72648033","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

The Complementary Exponentiated Lomax-Poisson Distribution with Applications to Bladder Cancer and Failure Data 互补指数Lomax-Poisson分布在膀胱癌和衰竭数据中的应用

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-07-05 DOI: 10.17713/AJS.V50I3.1052

D. Kumar, M. Nassar, A. Afify, S. Dey

{"title":"The Complementary Exponentiated Lomax-Poisson Distribution with Applications to Bladder Cancer and Failure Data","authors":"D. Kumar, M. Nassar, A. Afify, S. Dey","doi":"10.17713/AJS.V50I3.1052","DOIUrl":"https://doi.org/10.17713/AJS.V50I3.1052","url":null,"abstract":"A new continuous four-parameter lifetime distribution is introduced by compounding the distribution of the maximum of a sequence of an independently identically exponentiated Lomax distributed random variables and zero truncated Poisson random variable, defined as the complementary exponentiated Lomax Poisson (CELP) distribution. The new distribution which exhibits decreasing and upside down bathtub shaped density while the distribution has the ability to model lifetime data with decreasing, increasing and upside-down bathtub shaped failure rates. The new distribution has a number of well-known lifetime special sub-models, such as Lomax-zero truncated Poisson distribution, exponentiated Pareto-zero truncated Poisson distribution and Pareto- zero truncated Poisson distribution. A comprehensive account of the mathematical and statistical properties of the new distribution is presented. The model parameters are obtained by the methods of maximum likelihood, least squares, weighted least squares, percentiles, maximum product of spacing and Cram'er-von-Mises and compared them using Monte Carlo simulation study. We illustrate the performance of the proposed distribution by means of two real data sets and both the data sets show the new distribution is more appropriate as compared to the transmuted Lomax, beta exponentiated Lomax, McDonald Lomax, Kumaraswamy Lomax, Weibull Lomax, Burr X Lomax and Lomax distributions.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"37 3 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78832335","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

Stochastic Comparisons of the Smallest Claim Amounts from Two Sets of Independent Portfolios 两组独立投资组合中最小索赔金额的随机比较

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-07-05 DOI: 10.17713/AJS.V50I3.1025

H. Nadeb, H. Torabi

引用次数: 0

Integration of Multivariate Loss Function Approach in the Hotelling’s Charts under Banerjee-Rahim (1988) Weibull Shock Models Banerjee-Rahim(1988)威布尔冲击模型下Hotelling图中多元损失函数方法的整合

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-07-05 DOI: 10.17713/AJS.V50I3.857

M. H. Naderi, A. Seif, M. B. Moghadam

{"title":"Integration of Multivariate Loss Function Approach in the Hotelling’s Charts under Banerjee-Rahim (1988) Weibull Shock Models","authors":"M. H. Naderi, A. Seif, M. B. Moghadam","doi":"10.17713/AJS.V50I3.857","DOIUrl":"https://doi.org/10.17713/AJS.V50I3.857","url":null,"abstract":"A proper monitoring of stochastic systems is the control charts of statistical process control and drift in characteristics of output may be due to one or several assignable causes. Although many research works have been done on the economic design of control charts with single assignable cause, the economic statistical design of T^2 control chart under Weibull shock model with multiple assignable causes and considering multivariate Taguchi loss function has not been presented yet. Using Taguchi loss function in the concept of quality control charts with economic and economic statistical design leads to better decisions in the industry. Based on the optimization of the average cost per unit of time and taking into account the different combination values of Weibull distribution parameters, optimal design values ??of sample size, sampling interval and control limit coefficient were derived and calculated. Then the cost models under non-uniform and uniform sampling scheme were compared. The results revealed that the model under multiple assignable causes with Taguchi loss function has a lower cost than single assignable cause model and integrated model with non-uniform sampling has a lower cost than that with uniform sampling.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"15 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2021-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84758857","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

On the Bimodal Gumbel Model with Application to Environmental Data 双峰Gumbel模型及其在环境数据中的应用

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-06-19 DOI: 10.17713/ajs.v52i2.1392

C. Otiniano, R. Vila, Pedro Brom, M. Bourguignon

引用次数: 4

Estimation of the Rayleigh Distribution under Unified Hybrid Censoring 统一混合滤波下的瑞利分布估计

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-02-03 DOI: 10.17713/AJS.V50I1.990

Y. Jeon, Suk-Bok Kang

引用次数: 6

A Graphical Tool For Assessing The Suitabilty Of A Count Regression Model 评估计数回归模型适用性的图形工具

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-02-03 DOI: 10.17713/AJS.V50I1.921

Paul Wilson, J. Einbeck

引用次数: 0

Monitoring Robust Estimates for Compositional Data 监测成分数据的稳健估计

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-02-03 DOI: 10.17713/AJS.V50I2.1067

V. Todorov

{"title":"Monitoring Robust Estimates for Compositional Data","authors":"V. Todorov","doi":"10.17713/AJS.V50I2.1067","DOIUrl":"https://doi.org/10.17713/AJS.V50I2.1067","url":null,"abstract":"In a number of recent articles Riani, Cerioli, Atkinson and others advocate the technique of monitoring robust estimates computed over a range of key parameter values. Through this approach the diagnostic tools of choice can be tuned in such a way that highly robust estimators which are as efficient as possible are obtained. This approach is applicable to various robust multivariate estimates like Sand MM-estimates, MVE and MCD as well as to the Forward Search in which monitoring is part of the robust method. Key tool for detection of multivariate outliers and for monitoring of robust estimates is the Mahalanobis distances and statistics related to these distances. However, the results obtained with this tool in case of compositional data might be unrealistic since compositional data contain relative rather than absolute information and need to be transformed to the usual Euclidean geometry before the standard statistical tools can be applied. Various data transformations of compositional data have been introduced in the literature and theoretical results on the equivalence of the additive, the centered, and the isometric logratio transformation in the context of outlier identification exist. To illustrate the problem of monitoring compositional data and to demonstrate the usefulness of monitoring in this case we start with a simple example and then analyze a real life data set presenting the technological structure of manufactured exports. The analysis is conducted with the R package fsdaR, which makes the analytical and graphical tools provided in the MATLAB FSDA library available for R users.","PeriodicalId":51761,"journal":{"name":"Austrian Journal of Statistics","volume":"472 1","pages":"16-37"},"PeriodicalIF":0.6,"publicationDate":"2021-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90947644","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

Statistical Analysis for Generalized Progressive Hybrid Censored Data from Lindley Distribution under Step-Stress Partially Accelerated Life Test Model 步进应力部分加速寿命试验模型下林德利分布广义渐进混合截尾数据的统计分析

IF 0.6

Austrian Journal of Statistics Pub Date : 2021-02-03 DOI: 10.17713/AJS.V50I1.1004

Aakriti Pandey, A. Kaushik, S. Singh, U. Singh

引用次数: 6