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On the Stein Effect Under Density Power Divergence Loss 密度功率散度损失下的斯坦效应
Afrika Statistika Pub Date : 2019-07-01 DOI: 10.16929/as/2019.2099.150
Younes Ommane, I. Ouassou
{"title":"On the Stein Effect Under Density Power Divergence Loss","authors":"Younes Ommane, I. Ouassou","doi":"10.16929/as/2019.2099.150","DOIUrl":"https://doi.org/10.16929/as/2019.2099.150","url":null,"abstract":"","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"204 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131435425","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
ERRATUM 2 : An introduction to a general records theory both for dependent and high dimensions 勘误2:介绍一般记录理论，既为依赖和高维
Afrika Statistika Pub Date : 2019-07-01 DOI: 10.16929/AS/2019.2017.147
G. Lo, M. Ahsanullah
{"title":"ERRATUM 2 : An introduction to a general records theory both for dependent and high dimensions","authors":"G. Lo, M. Ahsanullah","doi":"10.16929/AS/2019.2017.147","DOIUrl":"https://doi.org/10.16929/AS/2019.2017.147","url":null,"abstract":"The paper [Lo G.S. and Ahsanullah M. (2019). An introduction to general records theory both for dependent and high dimensions. Afrika Statistika. Vol. 14 (2), pp. 2019-2056. Doi : dx.doi.org/10.16929/as/2019.2019.147] served as the basic material in an international course held in September 2022. A few number of misprints and wrongly written formulas have been found. This erratum will indicate how to have an updated version.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129996691","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
A retrial queueing-inventory system with service option on arrival and Multiple vacations 一个带有到达服务选项和多个假期的重新排队库存系统
Afrika Statistika Pub Date : 2019-01-01 DOI: 10.16929/as/2019.1917.142
J. Kathiresan, K. Jeganathan, N. Anbazhagan
{"title":"A retrial queueing-inventory system with service option on arrival and Multiple vacations","authors":"J. Kathiresan, K. Jeganathan, N. Anbazhagan","doi":"10.16929/as/2019.1917.142","DOIUrl":"https://doi.org/10.16929/as/2019.1917.142","url":null,"abstract":"New models of a retrial queueing inventory system with finite buffer and two types of services (say, Type-1 and Type-2) are proposed. Here we discuss a type 1 service, in which a customer enters in the system and receives the service only. In the type-2 service, a customer gets the service and the level of inventory is reduced to one (demand an item). Some important system performance measures in the steady state are derived and long-run total expected cost rate of the proposed model is developed. The results of the numerical examples are shown .","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133580522","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: 4
On two parametric probability distributions on crisp complete pre-orders 脆完全预购单上的两个参数概率分布
Afrika Statistika Pub Date : 2019-01-01 DOI: 10.16929/AS/2019.1903.141
Landry Ngibasona, Bertrand Mbama Engoulou, Siméon Fotso, L. Fono
{"title":"On two parametric probability distributions on crisp complete pre-orders","authors":"Landry Ngibasona, Bertrand Mbama Engoulou, Siméon Fotso, L. Fono","doi":"10.16929/AS/2019.1903.141","DOIUrl":"https://doi.org/10.16929/AS/2019.1903.141","url":null,"abstract":"Mallows and Plackett-Luce parametric probability distributions are the two most used and well-known in the set of complete linear orders of a finite universe. In this paper, we extend those two distributions on the set of complete preorders of the universe. For that purpose, by considering a parametric family of metrics on the set of complete pre-orders generalizing Kemeny Distance on pre-orders and Kendall metric on orders, we determine a parametric probability distribution on pre-orders generalizing Mallows Distribution. By considering pre-orders as orders on blocks of equivalent elements, we generalize the Plackett-Luce distribution on complete pre-orders.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126227707","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
Hellinger Distance Estimation of Strongly Dependent Gaussian Random Fields 强相关高斯随机场的Hellinger距离估计
Afrika Statistika Pub Date : 2019-01-01 DOI: 10.16929/AS/2019.1937.143
A. N'dri, O. Hili, G. Okou
{"title":"Hellinger Distance Estimation of Strongly Dependent Gaussian Random Fields","authors":"A. N'dri, O. Hili, G. Okou","doi":"10.16929/AS/2019.1937.143","DOIUrl":"https://doi.org/10.16929/AS/2019.1937.143","url":null,"abstract":"","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"216 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130220056","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
A Bayesian Approach for Identification of Additive Outlier in AR(p) 一种识别AR中附加异常值的贝叶斯方法(p)
Afrika Statistika Pub Date : 2019-01-01 DOI: 10.16929/AS/2019.1877.139
Jitendra Kumar, Saurabh Kumar
{"title":"A Bayesian Approach for Identification of Additive Outlier in AR(p)","authors":"Jitendra Kumar, Saurabh Kumar","doi":"10.16929/AS/2019.1877.139","DOIUrl":"https://doi.org/10.16929/AS/2019.1877.139","url":null,"abstract":". Time series is the way of data analysis and modelling in which present observation is retrieved based on past observations which is called ARIMA model in case of linear dependency. If series is contaminated by an outlier, then it affects both order and parameter(s). The present paper deals an autoregressive (AR) model with an additive outlier under Bayesian prospective. For identification of an outlier, posterior odds ratio has been derived under suitable prior assumptions. An empirical analysis and realization is carried out to get applicability of proposed testing methodology. ´etudes de cas sont men´ees pour prouver l’applicabibilit´e de la m´ethodologie utilis´ee.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121735992","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 Ristić and Balakrishnan Lindley-Poisson Distribution:Model, Theory and Application ristiki和Balakrishnan Lindley-Poisson分布:模型、理论和应用
Afrika Statistika Pub Date : 2018-12-31 DOI: 10.16929/as/1837.137
A. Fagbamigbe, Pinkie Melamu, B. Oluyede, B. Makubate
{"title":"The Ristić and Balakrishnan Lindley-Poisson Distribution:Model, Theory and Application","authors":"A. Fagbamigbe, Pinkie Melamu, B. Oluyede, B. Makubate","doi":"10.16929/as/1837.137","DOIUrl":"https://doi.org/10.16929/as/1837.137","url":null,"abstract":"A new distribution called Ristic and Balakrishnan Lindley-Poisson (RBLP) distribution is introduced and its properties are explored. This new distribution contains several new and well known sub-models, including Lindley-Poisson, RB-Lindley and Lindley distributions. Some statistical properties of the proposed distribution including hazard rate function, moments and conditional moments are presented. Mean deviations, Lorenz and Bonferroni curves, R e nyi entropy and distribution of the order statistics are given. Maximum likelihood estimation technique is used to estimate the model parameters. Finally, application of the model to a real dataset is presented to illustrate the usefulness of the proposed distribution. Keywords: Generalized Distribution; Ristic and Balakrishnan, Gamma Distribution, Lindley Distribution, Maximum Likelihood Estimation AMS 2010 Mathematics Subject Classification: 62E15; Secondary 60E05","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124183959","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: 4
Editorial to the fourth issue of Afrika Statistika devoted to probability laws, to their statistical properties and to their characterizations each year 《非洲统计》第四期社论，每年讨论概率定律及其统计性质和特征
Afrika Statistika Pub Date : 2018-12-31 DOI: 10.16929/AS/1835.136
G. Lo
{"title":"Editorial to the fourth issue of Afrika Statistika devoted to probability laws, to their statistical properties and to their characterizations each year","authors":"G. Lo","doi":"10.16929/AS/1835.136","DOIUrl":"https://doi.org/10.16929/AS/1835.136","url":null,"abstract":"Due to the big and increasing trend of submitted papers related to Probability laws and their properties and their characterizations, we have decided to reserve the fourth issue of each volume to that very active sub-field of Statistics. Keywords: Editorial; Probability Laws; Exact distributions; Asymptotic distributions AMS 2010 Mathematics Subject Classification: 60Exx; 00-01","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"141 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127936140","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
Concomitants of record values arising from the Morgenstern type bivariate Lindley distribution 由摩根斯特恩型双变量林德利分布产生的记录值的伴随物
Afrika Statistika Pub Date : 2018-12-31 DOI: 10.16929/AS/1865.138
R. Maya, M. Irshad, D. Shibu
{"title":"Concomitants of record values arising from the Morgenstern type bivariate Lindley distribution","authors":"R. Maya, M. Irshad, D. Shibu","doi":"10.16929/AS/1865.138","DOIUrl":"https://doi.org/10.16929/AS/1865.138","url":null,"abstract":"In this work, we developed the distribution theory of concomitants of record values arising from the Morgenstern type bivariate Lindley distribution and derived best linear unbiased estimator (BLUE) of parameter associated with the study variate involved in it are generated. The efficiencies of the BLUE with respect to the unbiased estimator are also evaluated in this work. Keywords: Concomitants of record values; Best linear unbiased estimator; Morgenstern type bivariate Lindley distribution AMS 2010 Mathematics Subject Classification Objects: 62B10; 62G30","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"227 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131327787","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
Bayesian method for solving the problem of multicollinearity in regression 求解回归中多重共线性问题的贝叶斯方法
Afrika Statistika Pub Date : 2018-10-01 DOI: 10.16929/as/1823.135
A. Adepoju, Oluwadare O. Ojo
{"title":"Bayesian method for solving the problem of multicollinearity in regression","authors":"A. Adepoju, Oluwadare O. Ojo","doi":"10.16929/as/1823.135","DOIUrl":"https://doi.org/10.16929/as/1823.135","url":null,"abstract":"The popular method of estimation in regression, Ordinary Least Squares (OLS) often displays inefficiency especially with large variances and wide confidence intervals thereby making precise estimate difficult when there is strong multicollinearity. Bayesian method of estimation is expected to improve the efficiency of estimated regression model when there is relevant prior information and belief of situation being modelled is available. This study however provided an alternative approach to OLS when there is almost perfect multicollinearity while its performance were compared with the aid of simulation approach to OLS estimator. Results of the simulation study indicate that with respect to Mean Squared Error (MSE) criterion and other criteria, the proposed method perform better than OLS. Keywords: Multicollinearity, Regression, Standard Error, Simulation AMS 2010 Mathematics Subject Classification: 62F15, 62GO5, 62H10","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116960097","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: 10
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