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Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions 连续分布族生成的广义秩映射变换分布
IF 1
Journal of Statistical Theory and Applications Pub Date : 2021-02-01 DOI: 10.2991/JSTA.D.210129.001
Muhammad Ali, Haseeb Athar
{"title":"Generalized Rank Mapped Transmuted Distribution for Generating Families of Continuous Distributions","authors":"Muhammad Ali, Haseeb Athar","doi":"10.2991/JSTA.D.210129.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210129.001","url":null,"abstract":"This study introduces generalized transmuted family of distributions. We investigate the special cases of our generalized transmuted distribution to match with some other generalization available in literature. The transmuted distributions are applied to Weibull distribution to find generalized rank map transmuted Weibull distribution. The distributional characteristics such as probability curve, mean, variance, skewness, kurtosis, distribution of largest order statistics, and their characteristics studied to compare with ordinary Weibull distribution. Hazard rate functions and distributional characteristics of largest order statistics of transmuted distributions are also studied. It is observed that the transmuted distributions are more flexible to model real data, since the data can present a high degree of skewness and kurtosis. If someone is interested to locate more flexible and higher degree of skewed distribution can explore this generalized transmuted family of distributions for future use.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88042186","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
Bayes Factors for Comparison of Two-Way ANOVA Models 双向方差分析模型的贝叶斯因子比较
IF 1
Journal of Statistical Theory and Applications Pub Date : 2021-01-01 DOI: 10.2991/jsta.d.201230.001
R. Vijayaragunathan, M. R. Srinivasan
{"title":"Bayes Factors for Comparison of Two-Way ANOVA Models","authors":"R. Vijayaragunathan, M. R. Srinivasan","doi":"10.2991/jsta.d.201230.001","DOIUrl":"https://doi.org/10.2991/jsta.d.201230.001","url":null,"abstract":"Inthetraditionaltwo-wayanalysisofvariance(ANOVA)model,itispossibletoidentifythesignificanceofboththemaineffects andtheirinteractionbasedonthe P values. However, it is not possible to determine how much data supports the model when these effects are incorporated into the model. To overcome this practical difficulty, we applied Bayes factors for hierarchical models to check the intensity of the effects (both main and interaction). The objective is to identify the impact of the main and interaction effects based on a comparison of Bayes factors of the hierarchical ANOVA models. The application of Bayes factors enables to observe which model strengthens more while including or eliminating the effects in the model. Consequently, this paper proposes three priors such as Zellner’s g , Jefferys-Zellner-Siow, and Hyper-g priors, to compute the Bayes factor. Finally, we extended this procedure to the simulation data for the generalization of the Bayesian results.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83435232","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: 8
Generalized Skew Laplace Random Fields: Bayesian Spatial Prediction for Skew and Heavy Tailed Data 广义偏态拉普拉斯随机场:偏态和重尾数据的贝叶斯空间预测
IF 1
Journal of Statistical Theory and Applications Pub Date : 2021-01-01 DOI: 10.2991/JSTA.D.210111.001
M. M. Saber, A. Nematollahi, M. Mohammadzadeh
{"title":"Generalized Skew Laplace Random Fields: Bayesian Spatial Prediction for Skew and Heavy Tailed Data","authors":"M. M. Saber, A. Nematollahi, M. Mohammadzadeh","doi":"10.2991/JSTA.D.210111.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210111.001","url":null,"abstract":"Earlier works on spatial prediction issue often assume that the spatial data are realization of Gaussian random field. However, this assumption is not applicable to the skewed and kurtosis distributed data. The closed skew normal distribution has been used in these circumstances. As another alternative, we apply generalized skew Laplace distributions for defining a skew and heavy tailed random field for Bayesian prediction. Simulation study and a real problem are then applied to evaluate the performance of this model.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77863638","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
Construction of Strata for a Model-Based Allocation Under a Superpopulation Model 超人口模型下基于模型的配置层构建
IF 1
Journal of Statistical Theory and Applications Pub Date : 2021-01-01 DOI: 10.2991/JSTA.D.210107.001
B. K. Gupt, Md. Irphan Ahamed
{"title":"Construction of Strata for a Model-Based Allocation Under a Superpopulation Model","authors":"B. K. Gupt, Md. Irphan Ahamed","doi":"10.2991/JSTA.D.210107.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210107.001","url":null,"abstract":"This paper considers the problem of optimum stratification for a model-based allocation under a superpopulation model. The equations giving optimum points of stratification have been derived and a few methods for finding approximately optimum points of stratification have been obtained from the equations. Numerical illustrations using generated data have been worked out and the proposed methods of stratification have been compared with equal interval stratification.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75874579","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
Measure of Departure from Point Symmetry and Decomposition of Measure for Square Contingency Tables 方形列联表偏离点对称测度与测度分解
IF 1
Journal of Statistical Theory and Applications Pub Date : 2021-01-01 DOI: 10.2991/jsta.d.201223.001
Kiyotaka Iki, S. Tomizawa
{"title":"Measure of Departure from Point Symmetry and Decomposition of Measure for Square Contingency Tables","authors":"Kiyotaka Iki, S. Tomizawa","doi":"10.2991/jsta.d.201223.001","DOIUrl":"https://doi.org/10.2991/jsta.d.201223.001","url":null,"abstract":"For square contingency tables with ordered categories, Tomizawa, Biometrica J. 28 (1986), 387 – 393, considered the conditional point symmetry model. Kurakami et al ., J. Stat. Adv. Theory Appl. 17 (2017), 33 – 42, considered the another point symmetry and the reverse global symmetry model. The present paper proposes Kullback – Leibler information type measures to represent the degree of departure from each of the models. Also this paper shows a theorem that the measure for the another point symmetry modelisequaltothesumofthemeasuresforthereverseglobalsymmetrymodelandfortheconditionalpointsymmetrymodel. © 2021 The Authors . Published by Atlantis Press B.V. This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80923416","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 Properties and Different Estimation Procedures of Poisson–Lindley Distribution 泊松-林德利分布的统计性质和不同的估计方法
IF 1
Journal of Statistical Theory and Applications Pub Date : 2021-01-01 DOI: 10.2991/JSTA.D.210105.001
Mohammed Amine Meraou, M. Z. Raqab
{"title":"Statistical Properties and Different Estimation Procedures of Poisson–Lindley Distribution","authors":"Mohammed Amine Meraou, M. Z. Raqab","doi":"10.2991/JSTA.D.210105.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210105.001","url":null,"abstract":"In this paper, we propose a new class of distributions by compounding Lindley distributed random variates with the number of variates being zero-truncated Poisson distribution. This model is called a compound zero-truncated Poisson–Lindley distribution with two parameters. Different statistical properties of the proposed model are discussed. We describe different methods of estimation for the unknown parameters involved in the model. These methods include maximum likelihood, least squares, weighted least squares, Cramer–vonMises, maximum product of spacings, Anderson–Darling and right-tail Anderson–Darling methods. Numerical simulation experiments are conducted to assess the performance of the so obtained estimators developed from these methods. Finally, the potentiality of the model is studied using one real data set representing the monthly highest snowfall during February 2018, for a subset of stations in the Global Historical Climatological Network of USA.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76511554","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
Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data 基于i型截尾数据的寿命回归分析下记录型fracei分布
IF 1
Journal of Statistical Theory and Applications Pub Date : 2021-01-01 DOI: 10.2991/JSTA.D.210115.001
Caner Tanış, Buğra Saraçoğlu, Coşkun Kuş, A. Pekgor, K. Karakaya
{"title":"Transmuted Lower Record Type Fréchet Distribution with Lifetime Regression Analysis Based on Type I-Censored Data","authors":"Caner Tanış, Buğra Saraçoğlu, Coşkun Kuş, A. Pekgor, K. Karakaya","doi":"10.2991/JSTA.D.210115.001","DOIUrl":"https://doi.org/10.2991/JSTA.D.210115.001","url":null,"abstract":"This paper introduces a new lifetime distribution bymixing the first two lower record values and various distributional properties are examined. Statistical inference on distribution parameters are discussedwith five estimators. AMonte Carlo simulation study is carried out to evaluate the risk behavior of these estimators for different sample of sizes. The distribution modeling analysis is provided based on real data to demonstrate the fitting ability of the proposed model. In addition, a lifetime regression model is described by re-parameterization on the log lifetimes. The superiority of proposed regression model is revealed in well-known models.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79739058","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: 11
Similarity Measure Based on the Belief Function Theory: Application in a Decision-Making Process 基于信念函数理论的相似性度量:在决策过程中的应用
IF 1
Journal of Statistical Theory and Applications Pub Date : 2021-01-01 DOI: 10.2991/JSTA.D.210111.002
M. Khalaj, F. Khalaj
{"title":"Similarity Measure Based on the Belief Function Theory: Application in a Decision-Making Process","authors":"M. Khalaj, F. Khalaj","doi":"10.2991/JSTA.D.210111.002","DOIUrl":"https://doi.org/10.2991/JSTA.D.210111.002","url":null,"abstract":"This study considers a new aspect of the belief function theory to define a belief set, which is characterized by truth, uncertainty and falsity belief degrees as a 3D vector representation. Then, based on the implication of a belief set, one of the similarity measures (i.e., Cosine, Jaccard and Dice) between two belief sets is defined. Furthermore, the weighted similarity measure of these different species between each alternative and ideal alternative is presented in order to rank alternatives and determine the best one. Finally, a comparison between similarity measures and an application of a new method based on similarity measures between two belief sets in the decision-making process is calculated to show the capability and validity of the proposed method.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90433067","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
An Unbiased Estimator of Finite Population Mean Using Auxiliary Information 利用辅助信息的有限总体均值无偏估计
IF 1
Journal of Statistical Theory and Applications Pub Date : 2021-01-01 DOI: 10.2991/jsta.d.201228.001
B. Mahanty, G. Mishra
{"title":"An Unbiased Estimator of Finite Population Mean Using Auxiliary Information","authors":"B. Mahanty, G. Mishra","doi":"10.2991/jsta.d.201228.001","DOIUrl":"https://doi.org/10.2991/jsta.d.201228.001","url":null,"abstract":"In this paper, an unbiased estimator is constructed by using a linear combination of an estimator of study variable and mean per unit estimator of an auxiliary variable under simple random sampling without replacement scheme. The efficiency of the estimator under optimality compared with themean per unit estimator, an almost unbiased ratio estimator, an unbiased product estimator, and a regression estimator both theoretically and with the numerical illustration.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88036505","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
Classical and Bayesian Inference for the Burr Type XII Distribution Under Generalized Progressive Type I Hybrid Censored Sample 广义渐进I型混合截尾样本下Burr XII型分布的经典和贝叶斯推断
IF 1
Journal of Statistical Theory and Applications Pub Date : 2020-12-01 DOI: 10.2991/jsta.d.201211.001
Parya Parviz, H. Panahi
{"title":"Classical and Bayesian Inference for the Burr Type XII Distribution Under Generalized Progressive Type I Hybrid Censored Sample","authors":"Parya Parviz, H. Panahi","doi":"10.2991/jsta.d.201211.001","DOIUrl":"https://doi.org/10.2991/jsta.d.201211.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84405363","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
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