Pub Date : 2021-05-01DOI: 10.2991/JSTA.D.210525.002
Md. Siraj-Ud-Doulah
If we know the statistics of central tendency and dispersion, we still cannot nature a complete design about the distribution. About these measures we should know more information’s of skewness and kurtosis, which are enables us to have a design the distribution. However, there is evidence that they may response poorly in the presence of non-normality or when outliers arise in data. We examine the performances of popular and frequently used measures of skewness ( β1 ) , kurtosis ( β2 ) and Jarque– Bera test of normality that they may not perform and we anticipates in the existence of non-normality or outliers. In this paper, firstly, we develop robust measures of moments and we formulate a new statistics of skewness and kurtosis which we name robust skewness ( φ1 ) and robust kurtosis ( φ2 ) . Again, in this paper, we modify Jarque–Bera test of normality, which we label Robust Jarque–Bera (RJB). These measures should be fairly robust. The effectiveness of the proposedmeasures is investigated by simulation approach. The results demonstrate that the newly proposed skewness ( φ1 ) , kurtosis ( φ2 ) and RJB test outperform the skewness, kurtosis and Jarque–Bera test of normality when a small percentage of outliers are present or absent in the data.
{"title":"An Alternative Measures of Moments Skewness Kurtosis and JB Test of Normality","authors":"Md. Siraj-Ud-Doulah","doi":"10.2991/JSTA.D.210525.002","DOIUrl":"https://doi.org/10.2991/JSTA.D.210525.002","url":null,"abstract":"If we know the statistics of central tendency and dispersion, we still cannot nature a complete design about the distribution. About these measures we should know more information’s of skewness and kurtosis, which are enables us to have a design the distribution. However, there is evidence that they may response poorly in the presence of non-normality or when outliers arise in data. We examine the performances of popular and frequently used measures of skewness ( β1 ) , kurtosis ( β2 ) and Jarque– Bera test of normality that they may not perform and we anticipates in the existence of non-normality or outliers. In this paper, firstly, we develop robust measures of moments and we formulate a new statistics of skewness and kurtosis which we name robust skewness ( φ1 ) and robust kurtosis ( φ2 ) . Again, in this paper, we modify Jarque–Bera test of normality, which we label Robust Jarque–Bera (RJB). These measures should be fairly robust. The effectiveness of the proposedmeasures is investigated by simulation approach. The results demonstrate that the newly proposed skewness ( φ1 ) , kurtosis ( φ2 ) and RJB test outperform the skewness, kurtosis and Jarque–Bera test of normality when a small percentage of outliers are present or absent in the data.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"22 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73263777","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}
Pub Date : 2021-04-01DOI: 10.2991/JSTA.D.210407.001
Ferhan Baş Kaman, H. Olmus
{"title":"A New Form of Farlie-Gumbel-Morgenstern Copula: A Comparative Simulation Study and Application","authors":"Ferhan Baş Kaman, H. Olmus","doi":"10.2991/JSTA.D.210407.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210407.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"18 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75506082","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}
Pub Date : 2021-04-01DOI: 10.2991/JSTA.D.210406.001
M. Amleh, M. Z. Raqab
{"title":"Inference in Simple Step-Stress Accelerated Life Tests for Type-II Censoring Lomax Data","authors":"M. Amleh, M. Z. Raqab","doi":"10.2991/JSTA.D.210406.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210406.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"55 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82407629","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}
Pub Date : 2021-03-01DOI: 10.2991/JSTA.D.210322.002
M. R. Mahmoud, R. Mandouh
{"title":"Progressively Censored N-H Exponential Distribution","authors":"M. R. Mahmoud, R. Mandouh","doi":"10.2991/JSTA.D.210322.002","DOIUrl":"https://doi.org/10.2991/JSTA.D.210322.002","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"75 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81205206","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}
Pub Date : 2021-03-01DOI: 10.2991/JSTA.D.210325.001
Scaria Johny, M. Sithara
{"title":"Dependence Concepts and Reliability Application of Concomitants of Order Statistics from the Morgenstern Family","authors":"Scaria Johny, M. Sithara","doi":"10.2991/JSTA.D.210325.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210325.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"11 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74648754","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}
Pub Date : 2021-03-01DOI: 10.2991/JSTA.D.210219.001
Bushra Khatoon, M. J. S. Khan, Zubdahe Noor
{"title":"Moments of Dual Generalized Order Statistics from Inverted Kumaraswamy Distribution and Related Inference","authors":"Bushra Khatoon, M. J. S. Khan, Zubdahe Noor","doi":"10.2991/JSTA.D.210219.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210219.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"23 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76166895","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}
Pub Date : 2021-03-01DOI: 10.2991/JSTA.D.210322.001
A. Irandoukht
{"title":"Optimum Ridge Regression Parameter Using R-Squared of Prediction as a Criterion for Regression Analysis","authors":"A. Irandoukht","doi":"10.2991/JSTA.D.210322.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210322.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"24 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91079690","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}
Pub Date : 2021-03-01DOI: 10.2991/JSTA.D.210216.001
M. Alam, M. A. Khan, R. Khan
{"title":"On Upper k-Record Values from the Generalized Linear Exponential Distribution","authors":"M. Alam, M. A. Khan, R. Khan","doi":"10.2991/JSTA.D.210216.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210216.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"67 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79026366","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}
Pub Date : 2021-03-01DOI: 10.2991/JSTA.D.210222.002
I. Elbatal, M. Elgarhy, B. M. Kibria
{"title":"Alpha Power Transformed Weibull-G Family of Distributions: Theory and Applications","authors":"I. Elbatal, M. Elgarhy, B. M. Kibria","doi":"10.2991/JSTA.D.210222.002","DOIUrl":"https://doi.org/10.2991/JSTA.D.210222.002","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"96 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80193235","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}
Pub Date : 2021-03-01DOI: 10.2991/JSTA.D.210222.001
Lal Pawimawha
{"title":"Modeling Frailty Using Birnbaum Saunders Distribution for Bivariate Survival Data","authors":"Lal Pawimawha","doi":"10.2991/JSTA.D.210222.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210222.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"67 1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90951618","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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：