发布求助
文献互助 智能选刊 最新文献

RMS: Research in Mathematics & Statistics最新文献

筛选
英文 中文
Bayesian inference for generalized linear mixed models: A comparison of different statistical software procedures 广义线性混合模型的贝叶斯推断:不同统计软件程序的比较
RMS: Research in Mathematics & Statistics Pub Date : 2021-01-01 DOI: 10.1080/27658449.2021.1896102
B. B. Yimer, Z. Shkedy
{"title":"Bayesian inference for generalized linear mixed models: A comparison of different statistical software procedures","authors":"B. B. Yimer, Z. Shkedy","doi":"10.1080/27658449.2021.1896102","DOIUrl":"https://doi.org/10.1080/27658449.2021.1896102","url":null,"abstract":"ABSTRACT Bayesian inference for generalized linear mixed models (GLMM) is appealing, but its widespread use has been hampered by the lack of a fast implementation tool and the difficulty in specifying prior distributions. In this paper, we conduct an extensive simulation study to evaluate the performance of INLA for estimation of the hierarchical Poisson regression models with overdispersion in comparison with JAGS and Stan while assuming a variety of prior specifications for variance components. Further, we analysed the influence of different factors such as small number of observations per cluster, different values of the cluster variance and estimation from a misspecified model. A simulation study has shown that the approximation strategy employed by INLA is accurate in general and that all software leads to similar results for most of the cases considered. Estimation of the variance components, however, is difficult when their true value is small for all estimation methods and prior specifications. The estimates obtained for all software tend to be biased downward or upward depending on the assumed priors.","PeriodicalId":112598,"journal":{"name":"RMS: Research in Mathematics & Statistics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116317345","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
On characterizations of hypersurfaces in a Sasakian space forms with commuting operators 具有交换算子的Sasakian空间形式中超曲面的刻画
RMS: Research in Mathematics & Statistics Pub Date : 2021-01-01 DOI: 10.1080/25742558.2020.1859672
M. Ilmakchi
{"title":"On characterizations of hypersurfaces in a Sasakian space forms with commuting operators","authors":"M. Ilmakchi","doi":"10.1080/25742558.2020.1859672","DOIUrl":"https://doi.org/10.1080/25742558.2020.1859672","url":null,"abstract":"Abstract Let be a real hypersurface in a Sasakian space form . In this paper, we prove that if holds on , then is a Hopf hypersurface, where and denote the Jacobi operator structure and the induced operator from the Lie derivative with respect to the induced normal vector field , respectively. We characterize such the Hopf hypersurfaces of .","PeriodicalId":112598,"journal":{"name":"RMS: Research in Mathematics & Statistics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125459536","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
Type I error convergence of three hypothesis tests for small RxC contingency tables 小型RxC列联表的三种假设检验的I型误差收敛
RMS: Research in Mathematics & Statistics Pub Date : 2021-01-01 DOI: 10.1080/27658449.2021.1934959
R. V. Auken, S. A. Kebschull
{"title":"Type I error convergence of three hypothesis tests for small RxC contingency tables","authors":"R. V. Auken, S. A. Kebschull","doi":"10.1080/27658449.2021.1934959","DOIUrl":"https://doi.org/10.1080/27658449.2021.1934959","url":null,"abstract":"ABSTRACT Many statistical software packages provide hypothesis tests for the independence or association between the rows and columns of a contingency table. However, insufficient guidance is available about the accuracy and domains-of-validity of some tests that are based on assumptions or approximations. This paper assesses the accuracy of the p-values for three tests of small tables using Monte Carlo simulations and quantile regression. Results for the Fisher-Freeman-Halton exact tests indicate the p-value accuracy depends on the number of possible unique nominal probabilities. Results for the Pearson chi-square test indicate the p-value accuracy depends on the number of possible unique nominal probabilities and the expected cell counts. Results for the Goodman-Kruskal gamma test indicate the p-value accuracy depends on the number of possible unique ordinal probabilities, the expected cell counts, and the total cell counts. Empirical models for the accuracy of these tests and recommended domain-of-validity criteria are provided.","PeriodicalId":112598,"journal":{"name":"RMS: Research in Mathematics & Statistics","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115563486","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
P-Values for one-dimensional multimodal distributions 一维多模态分布的p值
RMS: Research in Mathematics & Statistics Pub Date : 2021-01-01 DOI: 10.1080/27658449.2021.2014628
A. Hoback
{"title":"P-Values for one-dimensional multimodal distributions","authors":"A. Hoback","doi":"10.1080/27658449.2021.2014628","DOIUrl":"https://doi.org/10.1080/27658449.2021.2014628","url":null,"abstract":"ABSTRACT Simulation methods were developed to find p-values for univariate mixture distributions. Looking for the maximum elbow of the unexplained variance in a kernel density estimation was determined to be insufficient to evidence that data is multimodal. It is shown by theoretical and simulated results that random distributions have similar elbowing behaviour. It is only elbowing, or variance convergence, above the level in random distributions that indicates a mode has been found. However, kernel h-distance and variance by step were together found to be better predictors of confidence intervals of modal data. Confidence intervals of p = 0.1 and p = 0.01 are modelled in equations and can be applied to data with any standard deviation and sample sizes of 12 and over. The methods were tested on data generated from bimodal up to five modes.","PeriodicalId":112598,"journal":{"name":"RMS: Research in Mathematics & Statistics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128996981","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
Stability for stochastic neutral integro-differential equations with infinite delay and Poisson jumps 具有无限延迟和泊松跳变的随机中立型积分微分方程的稳定性
RMS: Research in Mathematics & Statistics Pub Date : 2021-01-01 DOI: 10.1080/27658449.2021.1979733
A. Zouine, Hassane Bouzahir, A. N. Vargas
{"title":"Stability for stochastic neutral integro-differential equations with infinite delay and Poisson jumps","authors":"A. Zouine, Hassane Bouzahir, A. N. Vargas","doi":"10.1080/27658449.2021.1979733","DOIUrl":"https://doi.org/10.1080/27658449.2021.1979733","url":null,"abstract":"ABSTRACT This paper investigates a kind of stochastic neutral integro-differential equations with infinite delay and Poisson jumps in the concrete-fading memory-phase space . We suppose that the linear part has a resolvent operator and the nonlinear terms are globally Lipschitzian. We introduce sufficient conditions that ensure the existence and uniqueness of mild solutions by using successive approximation. Moreover, we target exponential stability, including moment exponential stability in -th ( ) and almost surely exponential stability of solutions and their maps. An example illustrates the potential of the main result.","PeriodicalId":112598,"journal":{"name":"RMS: Research in Mathematics & Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116052532","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
Estimation of Population Mean by Using a Generalized Family of Estimators Under Classical Ranked Set Sampling 经典排序集抽样下广义估计族的总体均值估计
RMS: Research in Mathematics & Statistics Pub Date : 2021-01-01 DOI: 10.1080/27658449.2021.1948184
Asad Ali, Muhammad Moeen Butt, Kanwal Iqbal, M. Hanif, M. Zubair
{"title":"Estimation of Population Mean by Using a Generalized Family of Estimators Under Classical Ranked Set Sampling","authors":"Asad Ali, Muhammad Moeen Butt, Kanwal Iqbal, M. Hanif, M. Zubair","doi":"10.1080/27658449.2021.1948184","DOIUrl":"https://doi.org/10.1080/27658449.2021.1948184","url":null,"abstract":"ABSTRACT Estimation of population mean of study variable Y suffers loss of precision in the presence of high variation in the data set. The use of auxiliary information incorporated in construction of an estimator under Rank set sampling scheme results in efficient estimation of population mean. In this paper, we propose an efficient generalized family of estimators to estimate finite population mean of study variable under ranked set sampling utilizing information on an auxiliary variable. Bias and Mean Square Error (MSE) of the proposed generalized family of estimators are derived. The conditions of efficiency of proposed generalized family of estimators from competitor estimators are also derived. The applications of estimator are discussed using simulation study and real-life data sets for comparisons of efficiency. It is concluded that when correlation between study and auxiliary variables increases, the proposed generalized family of estimators proves to be the efficient estimator of population mean of the study variable.","PeriodicalId":112598,"journal":{"name":"RMS: Research in Mathematics & Statistics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130416685","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
首页 上一页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信
小红书