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A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia最新文献

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On the Parameter Estimation by Method of Moments and Wald Type Test for Poisson Processes 用矩量法估计泊松过程的参数及Wald型检验
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2018-12-31 DOI: 10.16929/SBS/2018.100-02-02
Elhadji Ousseynouu Accrachi, A. S. Dabye, Alix A. Gounoung
{"title":"On the Parameter Estimation by Method of Moments and Wald Type Test for Poisson Processes","authors":"Elhadji Ousseynouu Accrachi, A. S. Dabye, Alix A. Gounoung","doi":"10.16929/SBS/2018.100-02-02","DOIUrl":"https://doi.org/10.16929/SBS/2018.100-02-02","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"8 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":"128078759","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
Adaptive kernel density estimation of income distribution and poverty index 收入分配与贫困指数的自适应核密度估计
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2018-12-31 DOI: 10.16929/sbs/2018.100-02-04
Zakaria Baradine, Youssou Ciss, A. Diakhaby
{"title":"Adaptive kernel density estimation of income distribution and poverty index","authors":"Zakaria Baradine, Youssou Ciss, A. Diakhaby","doi":"10.16929/sbs/2018.100-02-04","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-02-04","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"2 2 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":"127015992","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
Sine-Skewed Cardioid Distribution 正弦偏斜心脏分布
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2018-12-31 DOI: 10.16929/SBS/2018.100-02-01
M. Ahsanullah
{"title":"Sine-Skewed Cardioid Distribution","authors":"M. Ahsanullah","doi":"10.16929/SBS/2018.100-02-01","DOIUrl":"https://doi.org/10.16929/SBS/2018.100-02-01","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"47 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":"125138138","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
Numerical Simulations of sand transport problems 输沙问题的数值模拟
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2018-12-31 DOI: 10.16929/SBS/2018.100-05-05
Christophe Diédhiou, B. K. Thiam, I. Faye
{"title":"Numerical Simulations of sand transport problems","authors":"Christophe Diédhiou, B. K. Thiam, I. Faye","doi":"10.16929/SBS/2018.100-05-05","DOIUrl":"https://doi.org/10.16929/SBS/2018.100-05-05","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"52 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":"128287097","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
Foreword to : A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia 前言:数学及相关科学论文汇编，纪念已故的加拉耶·迪亚
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2018-12-31 DOI: 10.16929/sbs/2018.100-00-01
G. Lo, Hamet Seydi, A. Diakhaby
{"title":"Foreword to : A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","authors":"G. Lo, Hamet Seydi, A. Diakhaby","doi":"10.16929/sbs/2018.100-00-01","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-00-01","url":null,"abstract":"","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"22 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":"115618786","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 some properties of the new Sine-skewed Cardioid Distribution 新正弦偏斜心形分布的一些性质
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2018-11-25 DOI: 10.16929/sbs/2018.100-02-09
Cherif Mamadou Moctar Traor'e, Moumouni Diallo, G. Lo, Mouhamad Ahsanullah, Okereke Lois Chinwendu
{"title":"On some properties of the new Sine-skewed Cardioid Distribution","authors":"Cherif Mamadou Moctar Traor'e, Moumouni Diallo, G. Lo, Mouhamad Ahsanullah, Okereke Lois Chinwendu","doi":"10.16929/sbs/2018.100-02-09","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-02-09","url":null,"abstract":"The new Sine Skewed Cardioid (ssc) distribution been just introduced and characterized by Ahsanullah (2018). Here, we study the asymptotic properties of its tails by determining its extreme value domain, the characteristic function, the moments and likelihood estimators of the two parameters, the asymptotic normality of the moments estimators and the random generation of data from the textit{ssc} distribution. Finally, we proceed to a simulation study to show the performance of the random generation method and the quality of the moments estimation of the parameters.","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127574978","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
Asymptotic Theory and Statistical Decomposability gap Estimation for Takayama's Index 高山指数的渐近理论与统计可分解性缺口估计
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2017-01-17 DOI: 10.16929/sbs/2018.100-02-08
Pape Djiby Mergane, Cheikh Mohamed Haidara, C. Seck, G. Lo
{"title":"Asymptotic Theory and Statistical Decomposability gap Estimation for Takayama's Index","authors":"Pape Djiby Mergane, Cheikh Mohamed Haidara, C. Seck, G. Lo","doi":"10.16929/sbs/2018.100-02-08","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-02-08","url":null,"abstract":"In the spirit of recent asymptotic works on the General Poverty Index (GPI) in the field of Welfare Analysis, the asymptotic representation of the non-decomposable Takayama's index, which has failed to be incorporated in the unified GPI approach, is addressed and established here. This representation allows also to extend to it, recent results of statistical decomposability gaps estimations. The theoretical results are applied to real databases. The conclusions of the undertaken applications recommend to use Takayama's index as a practically decomposable one, in virtue of the low decomposability gaps with respect to the large values of the index.","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"113 1-2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2017-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132879256","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 the joint distribution of variations of the Gini index and Welfare indices 论基尼指数与福利指数变化的联合分布
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2016-10-30 DOI: 10.16929/sbs/2018.100-02-07
G. Lo, Pape Djiby Mergane, T. A. Kpanzou
{"title":"On the joint distribution of variations of the Gini index and Welfare indices","authors":"G. Lo, Pape Djiby Mergane, T. A. Kpanzou","doi":"10.16929/sbs/2018.100-02-07","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-02-07","url":null,"abstract":"The aim of this paper is to establish the asymptotic behavior of the mutual influence of the Gini index and the poverty measures by using the Gaussian fields described in Mergane and Lo(2013). The results are given as representation theorems using the Gaussian fields of the unidimensional or the bidimensional functional Brownian bridges. Such representations, when combined with those already available, lead to joint asymptotic distributions with other statistics of interest like growth, welfare and inequality indices and then, unveil interesting results related to the mutual influence between them. The results are also appropriate for studying whether a growth is fair or not, depending on the variation of the inequality measure. Datadriven applications are also available. Although the variances may seem complicated at a first sight, their computations which are needed to get confidence intervals of the indices, are possible with the help of R codes we provide. Beyond the current results, the provided representations are useful in connection with different ones of other statistics.","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"1006 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123106521","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
General Central Limit Theorems for Associated Sequences 关联序列的一般中心极限定理
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2016-10-22 DOI: 10.16929/SBS/2018.100-04-01
Harouna Sangar'e, G. Lo
{"title":"General Central Limit Theorems for Associated Sequences","authors":"Harouna Sangar'e, G. Lo","doi":"10.16929/SBS/2018.100-04-01","DOIUrl":"https://doi.org/10.16929/SBS/2018.100-04-01","url":null,"abstract":"In this paper, we provide general central limit theorems (CLT's) for associated random variables (rv's) following the approaches used by Newman (1980) and Olivera et al.(2012). Given some assumptions, a Lyapounov-Feller-Levy type theorem is stated. We next specify different particular CLT versions of associated sequences based on moment conditions. A comparison study with available CTL's is performed. As a by-product, we complete an important available theorem where an assumption was missing.","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2016-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132172978","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
Strong limits related to the oscillation modulus of the empirical process based on the k-spacing process 基于k-间隔过程的经验过程的振荡模量的强极限
A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia Pub Date : 2014-06-28 DOI: 10.16929/sbs/2018.100-04-04
G. Lo
{"title":"Strong limits related to the oscillation modulus of the empirical process based on the k-spacing process","authors":"G. Lo","doi":"10.16929/sbs/2018.100-04-04","DOIUrl":"https://doi.org/10.16929/sbs/2018.100-04-04","url":null,"abstract":"Recently, several strong limit theorems for the oscillation moduli of the empirical process have been given in the iid-case. We show that, with very slight differences, those strong results are also obtained for some representation of the reduced empirical process based on the (non-overlapping) k-spacings generated by a sequence of independent random variables (rv's) uniformly distributed on $(0,1)$. This yields weak limits for the mentioned process. Our study includes the case where the step k is unbounded. The results are mainly derived from several properties concerning the increments of gamma functions with parameters k and one.","PeriodicalId":321019,"journal":{"name":"A Collection of Papers in Mathematics and Related Sciences, a festschrift in honour of the late Galaye Dia","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2014-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125131913","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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