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A Stepwise Procedure for Toxicity Studies Based on Ratio of two means 基于二均值之比的毒性研究逐步程序
Afrika Statistika Pub Date : 2021-07-01 DOI: 10.16929/as/2021.2911.189
Michael J. Adjabui, J. A. Awaab, J. Dioggban
{"title":"A Stepwise Procedure for Toxicity Studies Based on Ratio of two means","authors":"Michael J. Adjabui, J. A. Awaab, J. Dioggban","doi":"10.16929/as/2021.2911.189","DOIUrl":"https://doi.org/10.16929/as/2021.2911.189","url":null,"abstract":"This paper proposes a stepwise confidence set procedure for identifying equivalence or safety of compounds in a toxicity study under heteroscedasticity of variances for a normally distributed data. The problem of statistical methodology for drug safety is the control of the familywise error rate (FWER). Hence, we construct a confidence set procedure for toxicological evaluation and incorporating the partitioning principle with a case of heteroscedascity of variances under normal assumption. Our simulation studies demonstrated that the power of the procedures for heterogeneity of variances increases with increasing in ratio of means.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121193444","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 New Odd Lindley-G Power Series Class of Distributions: Theory, Properties and Applications 新的奇数Lindley-G幂级数类分布:理论、性质及应用
Afrika Statistika Pub Date : 2021-07-01 DOI: 10.16929/as/2021.2819.186
Fastel Chipepa, B. Oluyede, B. Makubate
{"title":"The New Odd Lindley-G Power Series Class of Distributions: Theory, Properties and Applications","authors":"Fastel Chipepa, B. Oluyede, B. Makubate","doi":"10.16929/as/2021.2819.186","DOIUrl":"https://doi.org/10.16929/as/2021.2819.186","url":null,"abstract":"We propose a new generalized class of distributions called the odd Lindley-G Power Series (OL-GPS) family of distributions and a special class, namely, odd Lindley-Weibull power series (OL-WPS) family of distributions. We also derive the structural properties of the OL-GPS family of distributions including moments, order statistics, Rényi entropy, mean and median deviations, Bonferroni and Lorenz curves, and maximum likelihood estimates. Sub-models of the special cases were also obtained together with their structural properties. A simulation study to examine the consistency of the maximum likelihood estimators for each parameter is presented. Finally, real data examples are presented to illustrate the applicability and usefulness of the proposed model","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128924828","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
Applying of the Extreme Value Theory for determining extreme claims in the automobile insurance sector: Case of a China car insurance 极值理论在车险行业极值索赔确定中的应用——以中国某车险为例
Afrika Statistika Pub Date : 2021-07-01 DOI: 10.16929/as/2021.2883.188
D. Diawara, L. Kané, Soumaila Dembele, G. Lo
{"title":"Applying of the Extreme Value Theory for determining extreme claims in the automobile insurance sector: Case of a China car insurance","authors":"D. Diawara, L. Kané, Soumaila Dembele, G. Lo","doi":"10.16929/as/2021.2883.188","DOIUrl":"https://doi.org/10.16929/as/2021.2883.188","url":null,"abstract":"According to the Chinese Health Statistics Yearbook, in 2005, the number of traffic accidents was 187781 with total direct property losses of 103691.7 (10000 Yuan). This research aims to fill the gap in the literature by investigating the extreme claim sizes not only for the entire portfolio. This empirical study investigates the behavior of the upper tail of the claim size by class of policyholders.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126401123","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
The alpha power Teissier distribution and its applications 功率泰西尔分布及其应用
Afrika Statistika Pub Date : 2021-04-01 DOI: 10.16929/as/2021.2733.181
J. T. Eghwerido
{"title":"The alpha power Teissier distribution and its applications","authors":"J. T. Eghwerido","doi":"10.16929/as/2021.2733.181","DOIUrl":"https://doi.org/10.16929/as/2021.2733.181","url":null,"abstract":"Statistical distribution that represents the true characteristics of real-life data is paramount to data analysis. Thus, this study introduces a tractable alpha power Teissier distribution (APOT). Some statistical properties of the proposed model like moments, probability generating function, moment generating function and order statistic were examined. The shape of the hazard rate and survival functions were investigated. The shapes of the hazard rate function indicated increasing, decreasing, J-shaped and bathtub shapes. The results of the data analysis indicated that the APOT model performed better when compared to some existing classical statistical distributions.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122054030","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: 9
Parametric Estimation of Long Memory Multivariate Gaussian random fields 长记忆多元高斯随机场的参数估计
Afrika Statistika Pub Date : 2021-04-01 DOI: 10.16929/as/2021.2745.182
A. N'dri, A. Kamagaté, O. Hili
{"title":"Parametric Estimation of Long Memory Multivariate Gaussian random fields","authors":"A. N'dri, A. Kamagaté, O. Hili","doi":"10.16929/as/2021.2745.182","DOIUrl":"https://doi.org/10.16929/as/2021.2745.182","url":null,"abstract":"The aim of this paper is to make a theoretically study of the minimum Hellinger distance estimator of multivariate, gaussian, stationary, isotropic long-memory random fields The variables are observed on a finite set of points in space. We establish under certain assumptions, the almost sure convergence and the asymptotic distribution of this estimator.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126927170","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
Estimation in the zero-inflated bivariate Poisson model, with an application to health-care utilization data 零膨胀双变量泊松模型的估计，并应用于医疗保健利用数据
Afrika Statistika Pub Date : 2021-04-01 DOI: 10.16929/as/2021.2763.183
Konan Jean Geoffroy Kouakou, Ouagninia Hili, Jean-Etienne Ouindllassida Dupuy
{"title":"Estimation in the zero-inflated bivariate Poisson model, with an application to health-care utilization data","authors":"Konan Jean Geoffroy Kouakou, Ouagninia Hili, Jean-Etienne Ouindllassida Dupuy","doi":"10.16929/as/2021.2763.183","DOIUrl":"https://doi.org/10.16929/as/2021.2763.183","url":null,"abstract":"Data on the demand for medical care is usually measured by a number of different counts. These count data are most often correlated and subject to high proportions of zeros. However, excess zeros and the dependence between these data can jointly affect several utilization measures.In this paper, the zero-inflated bivariate Poisson regression model (ZIBP) was used to analyze health-care utilization data. First, the asymptotic properties of the maximum likelihood estimator (MLE) of this model were investigated theoretically.Then, a simulation study is conducted to evaluate the behaviour of the estimator in finite samples. Finally, an application of the ZIBP model to health care demand data is provided by way of illustration.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"145 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115713563","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
Functional kernel estimation of the conditional extreme value index under random right censoring 随机右删减条件极值指标的函数核估计
Afrika Statistika Pub Date : 2021-01-04 DOI: 10.16929/as/2021.2647.178
Justin Ushize Rutikanga, A. Diop
{"title":"Functional kernel estimation of the conditional extreme value index under random right censoring","authors":"Justin Ushize Rutikanga, A. Diop","doi":"10.16929/as/2021.2647.178","DOIUrl":"https://doi.org/10.16929/as/2021.2647.178","url":null,"abstract":"Estimation of the extreme-value index of a heavy-tailed distribution is investigated when some functional random covariate (i.e. valued in some infinite dimensional space) information is available and the scalar response variable is right-censored. A weighted kernel version of Hill’s estimator of the extreme-value index is proposed and its asymptotic normality is established under mild assumptions.A simulation study is conducted to assess the finite-sample behavior of the proposed estimator. An application to ambulatory blood pressure trajectories and clinical outcome in stroke patients is also provided.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134505098","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
Identification of Minimum Effective Dose based on Ratio of a Normally Distributed Data under Heteroscedasticity 异方差下基于正态分布数据比值的最小有效剂量识别
Afrika Statistika Pub Date : 2021-01-04 DOI: 10.16929/as/2021.2717.180
E. D. Kpeglo, Michael J. Adjabui, J. Dioggban
{"title":"Identification of Minimum Effective Dose based on Ratio of a Normally Distributed Data under Heteroscedasticity","authors":"E. D. Kpeglo, Michael J. Adjabui, J. Dioggban","doi":"10.16929/as/2021.2717.180","DOIUrl":"https://doi.org/10.16929/as/2021.2717.180","url":null,"abstract":"Efficacy and safety study is of practical importance in modern drug development. It is a key component in evaluating the safety of food additives or pesticides, and assessing the effectiveness and safety of drugs. In most of the various statistical procedures, homogeneity of variances among different dose levels was required. This paper without a need for multiplicity adjustment proposes a stepwise confidence set procedure for estimating Minimum Effective Dose (MED) of drugs based on ratio of population means for normally distributed data under heteroscedasticity. The procedure employed Fieller’s (1954) method and obtained individual confidence intervals for identification of MED. The procedure is applied to a data of an experiment that was published by Ruberg (1989) where the effect of a new compound is measured by an increase in the weight of a particular organ in mice. Simulation study was carried out and results indicate that the procedure controls the family-wise error rate (FWER) strongly. Power of the procedure increases with increasing ratio of means and sample size.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113987289","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
Stein's method in two limit theorems involving the generalized inverse Gaussian distribution Stein的方法在两个极限定理中涉及到广义逆高斯分布
Afrika Statistika Pub Date : 2021-01-01 DOI: 10.16929/as/2021.2561.174
E. Konzou, E. Koudou, K. Gneyou
{"title":"Stein's method in two limit theorems involving the generalized inverse Gaussian distribution","authors":"E. Konzou, E. Koudou, K. Gneyou","doi":"10.16929/as/2021.2561.174","DOIUrl":"https://doi.org/10.16929/as/2021.2561.174","url":null,"abstract":"The generalized hyperbolic (GH) distribution converges in law to the generalized inverse Gaussian (GIG) distribution under certain conditions on the parameters. When the edges of an infinite rooted tree are equipped with independent resistances that are inverse Gaussian or reciprocal inverse Gaussian distributions, the total resistance converges almost surely to some random variable which follows the reciprocal inverse Gaussian (RIG) distribution. In this paper we provide explicit upper bounds for the distributional distance between GH (resp. infinite tree) distribution and their limiting GIG (resp. RIG) distribution applying Stein's method.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"17 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":"124881853","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
Regularization-Based Bootstrap Ranking Model: Identifying Healthcare Indicators Among All Level Income Economies 基于正则化的Bootstrap排名模型:在所有收入水平的经济体中识别医疗保健指标
Afrika Statistika Pub Date : 2020-06-01 DOI: 10.16929/as/2020.2431.167
E. Thompson, Ahmad M. Talafha
{"title":"Regularization-Based Bootstrap Ranking Model: Identifying Healthcare Indicators Among All Level Income Economies","authors":"E. Thompson, Ahmad M. Talafha","doi":"10.16929/as/2020.2431.167","DOIUrl":"https://doi.org/10.16929/as/2020.2431.167","url":null,"abstract":"This study considers the problem of uncertainty of concurrent variables selection among a potential set of healthcare expenditure predictors. It evaluates two regularization (shrinkage) methods: Least Absolute Shrinkage and Selection Operator (LASSO) and Elastic Net (ENET). To improve the accuracy of identifying important and relevant predictors of healthcare cost, the present study proposes a new methodology in the form of a bootstrapped-regularized regression with percentile rankings. A simulation study under various scenarios was implemented to learn the performance of the proposed methodology. The proposed methodology was applied to healthcare expenditure data for all level income economies: lower-income, lower-middle-income, upper-middle-income, and high-income.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"106 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130646321","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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