{"title":"A PATHWAY MODEL OF MITTAG-LEFFLER DISTRIBUTIONS AND RELATED PROCESSES","authors":"T. Sajayan, K. Jayakumar","doi":"10.17654/0972086322006","DOIUrl":"https://doi.org/10.17654/0972086322006","url":null,"abstract":"","PeriodicalId":430943,"journal":{"name":"Far East Journal of Theoretical Statistics","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116907483","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}
{"title":"A NOTE ON HOSMER-LEMESHOW TEST IN LOGISTIC MODELS","authors":"Mezbahur Rahman","doi":"10.17654/0972086322003","DOIUrl":"https://doi.org/10.17654/0972086322003","url":null,"abstract":"","PeriodicalId":430943,"journal":{"name":"Far East Journal of Theoretical Statistics","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128742386","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}
{"title":"AN EMPIRICAL STUDY OF THE ASYMPTOTIC LAWS OF SOME ESTIMATORS OF GENERALIZED ASSOCIATION PARAMETER AND SIGNED SYMMETRIC COVARIATION COEFFICIENT","authors":"Bernédy Nel Messie Kodia Banzouzi","doi":"10.17654/0972086322001","DOIUrl":"https://doi.org/10.17654/0972086322001","url":null,"abstract":"","PeriodicalId":430943,"journal":{"name":"Far East Journal of Theoretical Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130112732","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}
{"title":"WAVELET ESTIMATION OF THE COVARIANCE OF ALMOST PERIODICALLY CORRELATED PROCESSES AND STUDY OF ASYMPTOTIC PROPERTIES IN A CONTEXT OF WEAK DEPENDENCE","authors":"Moussa Koné, V. Monsan","doi":"10.17654/0972086323004","DOIUrl":"https://doi.org/10.17654/0972086323004","url":null,"abstract":"We construct a multiresolution estimator and study its asymptotic properties. The estimation of the coefficients of the covariance decomposition of an almost periodically correlated process on a wavelet basis is dealt with. It is found that the covariance relates to random variables satisfying a weak dependence structure of quasi-association type. In this context, we first recall a method for constructing a wavelet base, with the decomposition of the covariance function in this base and obtain a set of coefficients to be estimated. We then construct an estimator of the coefficients obtained, under specific sampling conditions (jitter or delay). Following are the three main results obtained in the paper: • The first result concerns the almost sure convergence of the multiresolution estimator built from the model of the spectral covariance estimator. • The second result establishes consistency under the quasi-association hypothesis, a convergence rate is provided. • The third result establishes the asymptotic normality of the estimator.","PeriodicalId":430943,"journal":{"name":"Far East Journal of Theoretical Statistics","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116345746","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}
{"title":"THE PSEUDO-LINDLEY ALPHA POWER TRANSFORMED DISTRIBUTION, MATHEMATICAL CHARACTERIZATIONS AND ASYMPTOTIC PROPERTIES","authors":"Modou Ngom, Moumouni Diallo, A. M. Fall, G. Lo","doi":"10.17654/0972086322004","DOIUrl":"https://doi.org/10.17654/0972086322004","url":null,"abstract":"We introduce a new generalization of the Pseudo-Lindley distribution by applying alpha power transformation. The obtained distribution is referred as the Pseudo-Lindley alpha power transformed distribution (PL-APT ). Some tractable mathematical properties of the PL-APT distribution as reliability, hazard rate, order statistics and entropies are provided. The maximum likelihood method is used to obtain the parameters’ estimation of the PL-APT distribution. The asymptotic properties of the proposed distribution are discussed. Also, a simulation study is performed to compare the modeling capability and flexibility of PL-APT with Lindley and Pseudo-Lindley distributions. The PL-APT provides a good fit as the Lindley and the Pseudo-Lindley distribution. The extremal domain of attraction of PL-APT is found and its quantile and extremal quantile functions studied. Finally, the extremal value index is estimated by the double-indexed Hill’s estimator (Ngom and Lo, 2016) and related asymptotic statistical tests are provided and characterized. Modou Ngom † Work Affiliation : Ministry of High School (SENEGAL) LERSTAD, Gaston Berger University, Saint-Louis, Sénégal Imhotep Mathematical Center Email:ngom.modou1@ugb.edu.sn, ngomodoungom@gmail.com. Moumouni Diallo †† Work Affiliation : Université des Sciences Sociale et de Gestion de Bamako(USSGB) Imhotep Mathematical Center Email: moudiallo1@gmail.com Adja Mbarka Fall ††† Work Affiliation : Université Iba Der Thiam de Thiés (UIDT) Imhotep Mathematical Center LERSTAD, Gaston Berger University, Saint-Louis, Sénégal Email:adjambarka.fall@univ-thies.sn Gane Samb Lo †††† LERSTAD, Gaston Berger University, Saint-Louis, Sénégal (main affiliation) LSTA, Pierre and Marie Curie University, Paris VI, France AUST African University of Sciences and Technology, Abuja, Nigeria Imhotep Mathematical Center Email:gane-samb.lo@edu.ugb.sn, gslo@aust.edu.ng, ganesamblo@ganesamblo.net Permanent address : 1178 Evanston Dr NW T3P 0J9,Calgary, Alberta, Canada.","PeriodicalId":430943,"journal":{"name":"Far East Journal of Theoretical Statistics","volume":"142 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123404036","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}
{"title":"A MATHEMATICAL MODEL FOR PROJECTION OF LIFE EXPECTANCY AT BIRTH USING EARLY CHILDHOOD SURVIVORSHIP PROBABILITIES","authors":"Md. Irphan Ahamed, M. Phukon","doi":"10.17654/0972086322002","DOIUrl":"https://doi.org/10.17654/0972086322002","url":null,"abstract":"","PeriodicalId":430943,"journal":{"name":"Far East Journal of Theoretical Statistics","volume":"54 100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125565199","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}
{"title":"A NOTE ON ODDS RATIO STANDARD ERROR IN LOGISTIC REGRESSION","authors":"Mezbahur Rahman","doi":"10.17654/0972086321002","DOIUrl":"https://doi.org/10.17654/0972086321002","url":null,"abstract":"","PeriodicalId":430943,"journal":{"name":"Far East Journal of Theoretical Statistics","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115799050","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}
{"title":"PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS BASED ON BI-PARTITE GRAPH","authors":"Gurinder Singh, Davinder Kumar Garg","doi":"10.17654/0972086321004","DOIUrl":"https://doi.org/10.17654/0972086321004","url":null,"abstract":"","PeriodicalId":430943,"journal":{"name":"Far East Journal of Theoretical Statistics","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133269943","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}
Calvin B. Maina, Patrick G. O. Weke, C. Ogutu, J. Ottieno
{"title":"NORMAL- MIXTURE WITH APPLICATION TO FINANCIAL DATA","authors":"Calvin B. Maina, Patrick G. O. Weke, C. Ogutu, J. Ottieno","doi":"10.17654/0972086321003","DOIUrl":"https://doi.org/10.17654/0972086321003","url":null,"abstract":"","PeriodicalId":430943,"journal":{"name":"Far East Journal of Theoretical Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129816570","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}