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A Bayesian sensitivity analysis of the effect of different random effects distributions on growth curve models 不同随机效应分布对生长曲线模型影响的贝叶斯敏感性分析
Afrika Statistika Pub Date : 2020-06-01 DOI: 10.16929/as/2020.2387.164
M. Ganjali, T. Baghfalaki, A. Fagbamigbe
{"title":"A Bayesian sensitivity analysis of the effect of different random effects distributions on growth curve models","authors":"M. Ganjali, T. Baghfalaki, A. Fagbamigbe","doi":"10.16929/as/2020.2387.164","DOIUrl":"https://doi.org/10.16929/as/2020.2387.164","url":null,"abstract":"Growth curve data consist of repeated measurements of a continuous growth process of human, animal, plant, microbial or bacterial genetic data over time in a population of individuals. A classical approach for analysing such data is the use of non-linear mixed effects models under normality assumption for the responses. But, sometimes the underlying population that the sample is extracted from is an abnormal population or includes some homogeneous sub-samples. So, detection of original properties of the population is an important scientific question of interest. In this paper, a sensitivity analysis of using different parametric and non-parametric distributions for the random effects on the results of applying non-linear mixed models is proposed for emphasizing the possible heterogeneity in the population. A Bayesian MCMC procedure is developed for parameter estimation and inference is performed via a hierarchical Bayesian framework. The methodology is illustrated using a real data set on study of influence of menarche on changes in body fat accretion.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"1 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":"129837454","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
Bayes Estimation in Step-Stress PALT on Type-I Progressive Hybrid Rayleigh Data 一类渐进式混合Rayleigh数据阶跃应力PALT的Bayes估计
Afrika Statistika Pub Date : 2019-10-01 DOI: 10.16929/as/2019.2165.152
G. Prakash
{"title":"Bayes Estimation in Step-Stress PALT on Type-I Progressive Hybrid Rayleigh Data","authors":"G. Prakash","doi":"10.16929/as/2019.2165.152","DOIUrl":"https://doi.org/10.16929/as/2019.2165.152","url":null,"abstract":"","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126214683","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
Statistical tests for the Pseudo-Lindley distribution and applications 伪林德利分布及其应用的统计检验
Afrika Statistika Pub Date : 2019-10-01 DOI: 10.16929/as/2019.2127.151
G. Lo, T. A. Kpanzou, Cheikh Mohamed Haidara
{"title":"Statistical tests for the Pseudo-Lindley distribution and applications","authors":"G. Lo, T. A. Kpanzou, Cheikh Mohamed Haidara","doi":"10.16929/as/2019.2127.151","DOIUrl":"https://doi.org/10.16929/as/2019.2127.151","url":null,"abstract":"The pseudo-Lindley distribution was introduced as a useful generalization of the Lindley distribution in Zeghdoudi and Nedjar (2016) who showed interesting properties of their new laws and efficiencies in modeling data in Reliability and Survival Analysis. In this paper we study the estimators of the pair of parameters and determine their asymptotic law from which a chi-square law is derived. From both asymptotic laws, statistical tests are built. Simulation studies on the tests conclude to their efficiency for data sizes generally used in Reliability. R codes related to statistical analysis on that law are given in an appropriate archive repository code paper in Arxiv.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"241 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132110528","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
The Gamma Log-Logistic Erlang Truncated Exponential Distribution with Applications Gamma Log-Logistic Erlang截断指数分布及其应用
Afrika Statistika Pub Date : 2019-10-01 DOI: 10.16929/as/2019.2141.152
H. Jimoh, B. Oluyede, D. Wanduku, B. Makubate
{"title":"The Gamma Log-Logistic Erlang Truncated Exponential Distribution with Applications","authors":"H. Jimoh, B. Oluyede, D. Wanduku, B. Makubate","doi":"10.16929/as/2019.2141.152","DOIUrl":"https://doi.org/10.16929/as/2019.2141.152","url":null,"abstract":"","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123548990","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: 5
Finiteness of Record values and Alternative Asymptotic Theory of Records with Atom Endpoints 记录值的有限性及带原子端点记录的可选渐近理论
Afrika Statistika Pub Date : 2019-09-18 DOI: 10.16929/as/2020.2371.163
G. Lo, Harouna Sangar'e, Mamadou Cherif Moctar Traor'e, M. Ahsanullah
{"title":"Finiteness of Record values and Alternative Asymptotic Theory of Records with Atom Endpoints","authors":"G. Lo, Harouna Sangar'e, Mamadou Cherif Moctar Traor'e, M. Ahsanullah","doi":"10.16929/as/2020.2371.163","DOIUrl":"https://doi.org/10.16929/as/2020.2371.163","url":null,"abstract":"Asymptotic theories on record values and times, including central limit theorems, make sense only if the sequence of records values (and of record times) is infinite. If not, such theories could not even be an option. In this paper, we give necessary and/or sufficient conditions for the finiteness of the number of records. We prove, for example for iid real valued random variable, that strong upper record values are finite if and only if the upper endpoint is finite and is an atom of the common cumulative distribution function. The only asymptotic study left to us concerns the infinite sequence of hitting times of that upper endpoints, which by the way, is the sequence of weak record times. The asymptotic characterizations are made using negative binomial random variables and the dimensional multinomial random variables. Asymptotic comparison in terms of consistency bounds and confidence intervals on the different sequences of hitting times are provided. The example of a binomial random variable is given.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122304981","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
Minimaxity and Admissibility of Predictive Density Estimators Under S-Hellinger Distances S-Hellinger距离下预测密度估计量的极小性和容许性
Afrika Statistika Pub Date : 2019-07-01 DOI: 10.16929/AS/2019.1951.144
Younes Ommane, I. Ouassou
{"title":"Minimaxity and Admissibility of Predictive Density Estimators Under S-Hellinger Distances","authors":"Younes Ommane, I. Ouassou","doi":"10.16929/AS/2019.1951.144","DOIUrl":"https://doi.org/10.16929/AS/2019.1951.144","url":null,"abstract":"In this paper, we consider the study of the efficiency of predictive density estimators of multivariate observables measured by the frequentist risk corresponding to S-Hellinger distances as a set of loss functions (for every α ∈ [0, 1]). The main themes, revolve around the inefficiency of minimum risk equivariant (MRE) predictors in high enough dimensions and about the inefficiency of plug-in estimators. We improve the plug-in for a dual point estimation loss with or without expanding the scale. A link between the S-Hellinger distances risk of plug-in type estimators and the risk under reflected normal loss for point estimation is established, bringing into play all the established literature on Stein type dominators. Further, we suggest dominant estimators with or without the presence of restrictions on the unknown mean parameter. Ultimately we prove under the new measure of goodness-of-fit dominance results under a restricted parameter space (multivariate and univariate). Key words : S-Hellinger Distances, Minimaxity, Admissibility, Stein estimation, concave loss, Predictive density estimation","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"34 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":"129267295","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
Empirical study of computational techniques used for parameters' estimation in multivariate linear mixed effects models 多元线性混合效应模型参数估计计算技术的实证研究
Afrika Statistika Pub Date : 2019-07-01 DOI: 10.16929/as/2019.2061.149
S. Honfo, R. G. Kakaï
{"title":"Empirical study of computational techniques used for parameters' estimation in multivariate linear mixed effects models","authors":"S. Honfo, R. G. Kakaï","doi":"10.16929/as/2019.2061.149","DOIUrl":"https://doi.org/10.16929/as/2019.2061.149","url":null,"abstract":"","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":"129550545","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 : An introduction to a general records theory both for dependent and high dimension 勘误: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/2019.2019.147
G. Lo, M. Ahsanullah
{"title":"ERRATUM : An introduction to a general records theory both for dependent and high dimension","authors":"G. Lo, M. Ahsanullah","doi":"10.16929/as/2019.2019.147","DOIUrl":"https://doi.org/10.16929/as/2019.2019.147","url":null,"abstract":". . The probabilistic investigation on record values and record times of a sequence of random variables defined on the same probability space has received much attention from 1952 to now. A great deal of such theory focused on iid or independent real-valued random variables. There exists a few results for real-valued dependent random variables. Some papers deal also with multivariate random variables. But a large theory regarding vectors and dependent data has yet to be done. In preparation of that, the probability laws of records are investigatedhere, without any assumption on the dependence structure. The results are extended sequences with values in partially ordered spaces whose order is compatible with measurability. The general characterizations are checked in known cases mostly for iid sequences. The frame is ready for undertaking a vast study of records theory in high dimensions and for types of dependence.","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"6 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120996022","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
On some Extensions of the Sequential Monte Carlo methods in high-order Hidden Markov Models 序列蒙特卡罗方法在高阶隐马尔可夫模型中的一些扩展
Afrika Statistika Pub Date : 2019-07-01 DOI: 10.16929/AS/2019.1977.145
M. Allaya, A. Coulibaly, E. Dème, Mouhamadou Moustapha Kâ, Babacar Séne
{"title":"On some Extensions of the Sequential Monte Carlo methods in high-order Hidden Markov Models","authors":"M. Allaya, A. Coulibaly, E. Dème, Mouhamadou Moustapha Kâ, Babacar Séne","doi":"10.16929/AS/2019.1977.145","DOIUrl":"https://doi.org/10.16929/AS/2019.1977.145","url":null,"abstract":"We analyze some extensions of the Sequential Monte Carlo (SMC) methods in the context of nonlinear state space models. Namely, we tailor the SMC  methods to handle high-order HMM through the customary recursions of  posterior distributions. It proceeds on mimicking the two-step procedure that is, the prediction step and the update step, in the derivation of the filter  distribution. Once stated, we extend some smoothing recursions as the  Forward-Backward algorithm and the Backward smoother to deal with the actual smoothing distributions in high-order HMM. Finally, we give few examples as an application of these extensions.Key words: Sequential Monte Carlo, high-order HMM, Smoothing, Filtering","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"49 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":"132931290","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 covariance structure of the bivariate weighted Poisson distribution and application to the Aleurodicus data 二元加权泊松分布的协方差结构及其在木耳资料中的应用
Afrika Statistika Pub Date : 2019-07-01 DOI: 10.16929/AS/2019.1999.146
P. C. B. Nganga, R. Bidounga, D. Mizère
{"title":"The covariance structure of the bivariate weighted Poisson distribution and application to the Aleurodicus data","authors":"P. C. B. Nganga, R. Bidounga, D. Mizère","doi":"10.16929/AS/2019.1999.146","DOIUrl":"https://doi.org/10.16929/AS/2019.1999.146","url":null,"abstract":"We meet in the literature the bivariate Poisson distribution put in evidence by Berkhout and Plug. From this distribution, Elion et al. put in evidence the bivariate weighted Poisson distribution like crossing of two univariate weighted Poisson distributions. The structure of the covariance of this bivariate weighted Poisson distribution has been put not again in evidence in the literature. Thus, in this paper, we remedy this hiatus. The overdispersion, underdispersion and the equidispersion will be valued with the help of the Fisher dispersion index for multivariate count distributions introduces by Kokonendji et al. An illustrative example based on the Aleurodicus data is presented. Keywords . Bivariate dispersion index; Moment generating function; Conditional law","PeriodicalId":430341,"journal":{"name":"Afrika Statistika","volume":"37 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":"131859769","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
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