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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":"63 1","pages":""},"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
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":"47 1","pages":""},"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
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":"87 1","pages":""},"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":"1 1","pages":""},"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":"6 2 1","pages":""},"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":"29 1","pages":"547-557"},"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
Pranav Quasi Gamma Distribution: Properties and Applications Pranav拟伽玛分布:性质与应用
IF 1
Journal of Statistical Theory and Applications Pub Date : 2020-12-01 DOI: 10.2991/jsta.d.201202.001
S. A. Wani, Anwar Hassan, S. Shafi, S. Shafi
{"title":"Pranav Quasi Gamma Distribution: Properties and Applications","authors":"S. A. Wani, Anwar Hassan, S. Shafi, S. Shafi","doi":"10.2991/jsta.d.201202.001","DOIUrl":"https://doi.org/10.2991/jsta.d.201202.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"24 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77985749","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
Modified Maximum Likelihood Estimations of the Epsilon-Skew-Normal Family Epsilon-Skew-Normal族的修正极大似然估计
IF 1
Journal of Statistical Theory and Applications Pub Date : 2020-12-01 DOI: 10.2991/jsta.d.201208.001
P. Jamshidi, M. Maleki, Z. Khodadadi
{"title":"Modified Maximum Likelihood Estimations of the Epsilon-Skew-Normal Family","authors":"P. Jamshidi, M. Maleki, Z. Khodadadi","doi":"10.2991/jsta.d.201208.001","DOIUrl":"https://doi.org/10.2991/jsta.d.201208.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"188 1","pages":"481-486"},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74434899","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
A Modification of the Gompertz Distribution Based on the Class of Extended-Weibull Distributions 基于一类扩展威布尔分布的Gompertz分布的修正
IF 1
Journal of Statistical Theory and Applications Pub Date : 2020-12-01 DOI: 10.2991/jsta.d.201116.001
Mohammad Kazemi, A. Jafari, S. Tahmasebi
{"title":"A Modification of the Gompertz Distribution Based on the Class of Extended-Weibull Distributions","authors":"Mohammad Kazemi, A. Jafari, S. Tahmasebi","doi":"10.2991/jsta.d.201116.001","DOIUrl":"https://doi.org/10.2991/jsta.d.201116.001","url":null,"abstract":"This paper introduces a new four-parameter extension of the generalized Gompertz distributions. This distribution involves somewell-knowndistributions such as extension of generalized exponential, generalized exponential, and generalizedGompertz distributions. In addition, it can have a decreasing, increasing, upside-down bathtub, and bathtub-shaped hazard rate function depending on its parameters. Some mathematical properties of this new distribution, such as moments, quantiles, hazard rate function, and reversible hazard rate function are obtained. In addition, the density function and the moments of the ordered statistics of this new distribution is provided. The parameters of model are estimated using the maximum likelihood method. Also, a real data set was used to illustrate the validity of the proposed distribution.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81794110","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
Local Linear Regression Estimator on the Boundary Correction in Nonparametric Regression Estimation 非参数回归估计中边界校正的局部线性回归估计量
IF 1
Journal of Statistical Theory and Applications Pub Date : 2020-10-01 DOI: 10.2991/jsta.d.201016.001
Langat Reuben Cheruiyot
{"title":"Local Linear Regression Estimator on the Boundary Correction in Nonparametric Regression Estimation","authors":"Langat Reuben Cheruiyot","doi":"10.2991/jsta.d.201016.001","DOIUrl":"https://doi.org/10.2991/jsta.d.201016.001","url":null,"abstract":"","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"12 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73948093","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: 6
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