Pub Date : 2024-01-18DOI: 10.1080/02331888.2024.2305111
Sotirios Losidis
Primary quantities of interest in renewal theory are the expected number of renewals in (0,t], known as renewal function (denoted by U(t)), and the expected number of renewals in (t,t+h], given by ...
{"title":"Refinement bounds for the expected number of renewal epochs over a finite interval","authors":"Sotirios Losidis","doi":"10.1080/02331888.2024.2305111","DOIUrl":"https://doi.org/10.1080/02331888.2024.2305111","url":null,"abstract":"Primary quantities of interest in renewal theory are the expected number of renewals in (0,t], known as renewal function (denoted by U(t)), and the expected number of renewals in (t,t+h], given by ...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"23 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139507385","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-15DOI: 10.1080/02331888.2023.2301326
Caner Tanış, Yasin Asar
Recently, many authors have been motivated to propose a new regression estimator in the case of multicollinearity. The most well-known of these estimators are ridge, Liu and Liu-type estimators. Ma...
{"title":"Liu-type estimator in Conway–Maxwell–Poisson regression model: theory, simulation and application","authors":"Caner Tanış, Yasin Asar","doi":"10.1080/02331888.2023.2301326","DOIUrl":"https://doi.org/10.1080/02331888.2023.2301326","url":null,"abstract":"Recently, many authors have been motivated to propose a new regression estimator in the case of multicollinearity. The most well-known of these estimators are ridge, Liu and Liu-type estimators. Ma...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"4 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139507097","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this article, estimates of reliability performance characteristics are discussed when life test is conducted upon various test facilities under block progressive type-II censoring. When the diff...
本文讨论了在块渐进 II 型删减条件下对各种试验设备进行寿命试验时，对可靠性性能特征的估计。当不同的...
{"title":"Reliability estimation for Kumaraswamy distribution under block progressive type-II censoring","authors":"Rani Kumari, Yogesh Mani Tripathi, Liang Wang, Rajesh Kumar Sinha","doi":"10.1080/02331888.2024.2301736","DOIUrl":"https://doi.org/10.1080/02331888.2024.2301736","url":null,"abstract":"In this article, estimates of reliability performance characteristics are discussed when life test is conducted upon various test facilities under block progressive type-II censoring. When the diff...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"47 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139410439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-01-09DOI: 10.1080/02331888.2023.2299395
Juan Baz, Franco Pellerey, Irene Díaz, Susana Montes
Variability measures, such as the variance or the Gini mean difference, are widely used to summarize the dispersion of random variables. In the statistical setting, it is quite natural to assume th...
{"title":"Stochastic ordering of variability measure estimators","authors":"Juan Baz, Franco Pellerey, Irene Díaz, Susana Montes","doi":"10.1080/02331888.2023.2299395","DOIUrl":"https://doi.org/10.1080/02331888.2023.2299395","url":null,"abstract":"Variability measures, such as the variance or the Gini mean difference, are widely used to summarize the dispersion of random variables. In the statistical setting, it is quite natural to assume th...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"19 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139422530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-27DOI: 10.1080/02331888.2023.2294484
Rahul Mukerjee, Víctor Elvira
Multiple importance sampling (MIS) is an increasingly used methodology where several proposal densities are used to approximate integrals, generally involving target probability density functions. ...
{"title":"Variance analysis of multiple importance sampling schemes","authors":"Rahul Mukerjee, Víctor Elvira","doi":"10.1080/02331888.2023.2294484","DOIUrl":"https://doi.org/10.1080/02331888.2023.2294484","url":null,"abstract":"Multiple importance sampling (MIS) is an increasingly used methodology where several proposal densities are used to approximate integrals, generally involving target probability density functions. ...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"255 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139052338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-20DOI: 10.1080/02331888.2023.2295345
Jiaqi Liu, Kang Wang, Xiaoqing Li, Zujun Ou
Follow-up experimental designs are frequently employed in a wide range of scientific studies and industries. Lower bounds of average mixture discrepancy for row augmented designs are determined in ...
后续实验设计经常被广泛应用于科学研究和工业领域。本文确定了行增强设计的平均混合物差异下限。
{"title":"A lower bound of average mixture discrepancy for row augmented designs","authors":"Jiaqi Liu, Kang Wang, Xiaoqing Li, Zujun Ou","doi":"10.1080/02331888.2023.2295345","DOIUrl":"https://doi.org/10.1080/02331888.2023.2295345","url":null,"abstract":"Follow-up experimental designs are frequently employed in a wide range of scientific studies and industries. Lower bounds of average mixture discrepancy for row augmented designs are determined in ...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"115 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138821744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-19DOI: 10.1080/02331888.2023.2293738
M. Mohammadpour, S. Rezaee, A. R. Soltani
We apply the classical finite Fourier transform to construct an embedded functional process to a given multivariate time series model. The basic properties of the embedded functional process are pr...
{"title":"A new approach for time domain analysis of multivariate and functional time series","authors":"M. Mohammadpour, S. Rezaee, A. R. Soltani","doi":"10.1080/02331888.2023.2293738","DOIUrl":"https://doi.org/10.1080/02331888.2023.2293738","url":null,"abstract":"We apply the classical finite Fourier transform to construct an embedded functional process to a given multivariate time series model. The basic properties of the embedded functional process are pr...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"227 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138821408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-12-01DOI: 10.1080/02331888.2023.2287749
Marco Oesting, Albert Rapp, Evgeny Spodarev
Empirical detection of long range dependence (LRD) of a time series often consists of deciding whether an estimate of the memory parameter d corresponds to LRD. Surprisingly, the literature offers ...
{"title":"Detection of long range dependence in the time domain for (in)finite-variance time series","authors":"Marco Oesting, Albert Rapp, Evgeny Spodarev","doi":"10.1080/02331888.2023.2287749","DOIUrl":"https://doi.org/10.1080/02331888.2023.2287749","url":null,"abstract":"Empirical detection of long range dependence (LRD) of a time series often consists of deciding whether an estimate of the memory parameter d corresponds to LRD. Surprisingly, the literature offers ...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"8 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138542001","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-16DOI: 10.1080/02331888.2023.2281513
Akram Fakhari-Esferizi, Saeid Pooladsaz
In many areas such as agriculture, forestry, and medicine the interference models arise when the response of a treatment is affected by the other treatments in neighbour experimental plots. In this...
{"title":"Universally optimal designs for three interference models under circulant correlation","authors":"Akram Fakhari-Esferizi, Saeid Pooladsaz","doi":"10.1080/02331888.2023.2281513","DOIUrl":"https://doi.org/10.1080/02331888.2023.2281513","url":null,"abstract":"In many areas such as agriculture, forestry, and medicine the interference models arise when the response of a treatment is affected by the other treatments in neighbour experimental plots. In this...","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"146 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138541994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-12DOI: 10.1080/02331888.2023.2273505
Morteza Mohammadi, Majid Hashempour
AbstractIn this paper, we provide a measure based on inaccuracy between distributions of the ith order statistic and the parent random variable. This measure characterizes the distribution function of parent random variable uniquely. We demonstrate that the extropy of the parent random variable is the average of the accuracy measure. It is also shown that the measure of inaccuracy defined is invariant under scale but not under location transformation. Nonparametric estimators for the proposed measures are also obtained. A Monte Carlo simulation study is performed to verify the performance of the suggested estimators. Simulation results show that the estimator based on the reflection boundary technique for probability density function estimation and the empirical method for cumulative distribution function estimation has the best performance among estimators. Also, a real dataset is considered to show an application of the proposed estimators on model selection.Keywords: Extropyinaccuracy measureorder statisticsnonparametric estimation2000 AMS Subject Classifications: Primary 62F10Secondary 62N05 AcknowledgmentsThe authors would like to thank two anonymous referees and the associate editor for their useful comments and constructive criticisms on the original version of this manuscript which led to this considerably improved version.Disclosure statementNo potential conflict of interest was reported by the author(s).
{"title":"Extropy based inaccuracy measure in order statistics","authors":"Morteza Mohammadi, Majid Hashempour","doi":"10.1080/02331888.2023.2273505","DOIUrl":"https://doi.org/10.1080/02331888.2023.2273505","url":null,"abstract":"AbstractIn this paper, we provide a measure based on inaccuracy between distributions of the ith order statistic and the parent random variable. This measure characterizes the distribution function of parent random variable uniquely. We demonstrate that the extropy of the parent random variable is the average of the accuracy measure. It is also shown that the measure of inaccuracy defined is invariant under scale but not under location transformation. Nonparametric estimators for the proposed measures are also obtained. A Monte Carlo simulation study is performed to verify the performance of the suggested estimators. Simulation results show that the estimator based on the reflection boundary technique for probability density function estimation and the empirical method for cumulative distribution function estimation has the best performance among estimators. Also, a real dataset is considered to show an application of the proposed estimators on model selection.Keywords: Extropyinaccuracy measureorder statisticsnonparametric estimation2000 AMS Subject Classifications: Primary 62F10Secondary 62N05 AcknowledgmentsThe authors would like to thank two anonymous referees and the associate editor for their useful comments and constructive criticisms on the original version of this manuscript which led to this considerably improved version.Disclosure statementNo potential conflict of interest was reported by the author(s).","PeriodicalId":54358,"journal":{"name":"Statistics","volume":"28 10","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135037273","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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