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Revista Colombiana de Estadística最新文献

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The Type II Exponentiated Half Logistic-Marshall-Olkin-G Family of Distributions with Applications 第二类幂次半对数-马歇尔-奥尔金-G 分布家族及其应用
Revista Colombiana de Estadística Pub Date : 2023-07-12 DOI: 10.15446/rce.v46n2.103163
B. Oluyede, Morongwa Gabanakgosi
{"title":"The Type II Exponentiated Half Logistic-Marshall-Olkin-G Family of Distributions with Applications","authors":"B. Oluyede, Morongwa Gabanakgosi","doi":"10.15446/rce.v46n2.103163","DOIUrl":"https://doi.org/10.15446/rce.v46n2.103163","url":null,"abstract":"A new generalized family of distributions called the type II exponentiated half logistic-Marshall-Olkin-G distribution is developed. Some special cases of the new model are presented. We explore some statistical properties of the new family of distributions. The statistical properties studied include expansion of the density function, hazard rate and quantile functions, moments, moment generating functions, probability weighted moments, stochastic ordering, distribution of order statistics and Rényi entropy. The maximum likelihood, ordinary and weighted least-squares techniques for the estimation of model parameters are presented, and Monte Carlo simulations for the new family of distributions are conducted. The importance of the new family of distributions is examined by means of applications to two real data sets.","PeriodicalId":117214,"journal":{"name":"Revista Colombiana de Estadística","volume":"75 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139360125","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
Some Improved Combined Estimators of Population Mean in Stratified Ranked Set Sampling 分层排序集合抽样中人口平均值的一些改进组合估计器
Revista Colombiana de Estadística Pub Date : 2023-07-12 DOI: 10.15446/rce.v46n2.104591
Rajesh Singh, Anamika Kumari
{"title":"Some Improved Combined Estimators of Population Mean in Stratified Ranked Set Sampling","authors":"Rajesh Singh, Anamika Kumari","doi":"10.15446/rce.v46n2.104591","DOIUrl":"https://doi.org/10.15446/rce.v46n2.104591","url":null,"abstract":"This paper presents improved population mean estimators using auxiliary variables in Stratified Ranked Set Sampling. We have derived the expressions for bias and mean square errors up to the first order of approximation and shown that the proposed estimators under optimum conditions are more efficient than other estimators taken in this paper. In an attempt to verify the efficiencies of proposed estimators, theoretical results are supported by numerical illustrations and simulation study for which we have considered two populations.","PeriodicalId":117214,"journal":{"name":"Revista Colombiana de Estadística","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139360138","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 New Nadarajah-Haghighi Generalization with Five Different Shapes for the Hazard Function 具有五种不同形状危险函数的新纳达拉加-哈格希广义法
Revista Colombiana de Estadística Pub Date : 2023-07-12 DOI: 10.15446/rce.v46n2.103412
Fernando Arturo Peña Ramírez, R. Guerra, G. Cordeiro
{"title":"A New Nadarajah-Haghighi Generalization with Five Different Shapes for the Hazard Function","authors":"Fernando Arturo Peña Ramírez, R. Guerra, G. Cordeiro","doi":"10.15446/rce.v46n2.103412","DOIUrl":"https://doi.org/10.15446/rce.v46n2.103412","url":null,"abstract":"We introduce a four-parameter model called the Weibull Nadarajah-Haghighi distribution. It is obtained by inserting the Nadarajah-Haghighi distribution in the Weibull-G family. The proposed distribution can produce constant, increasing, decreasing, bathtub, and upside down-bathtub hazard rate shapes, which are the most important in lifetime analysis. We explore some structural properties, including the quantile function, ordinary and incomplete moments, mean deviations, Bonferroni and Lorenz curves, and Rényi entropy. The maximum likelihood method is used to estimate the model parameters. A simulation study is formed to examine the precision of the estimates. The usefulness of the new distribution is illustrated through two applications to real data. The new model provides better fits than some widely known lifetime distributions.","PeriodicalId":117214,"journal":{"name":"Revista Colombiana de Estadística","volume":"5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139360254","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
The Topp-Leone-Gompertz-Exponentiated Half Logistic-G Family of Distributions with Applications Topp-Leone-Gompertz-Exponentiated Half Logistic-G 分布家族及其应用
Revista Colombiana de Estadística Pub Date : 2023-07-12 DOI: 10.15446/rce.v46n2.105209
Neo Dingalo, B. Oluyede, Fastel Chipepa
{"title":"The Topp-Leone-Gompertz-Exponentiated Half Logistic-G Family of Distributions with Applications","authors":"Neo Dingalo, B. Oluyede, Fastel Chipepa","doi":"10.15446/rce.v46n2.105209","DOIUrl":"https://doi.org/10.15446/rce.v46n2.105209","url":null,"abstract":"This paper introduces and investigates a new family of distributions called the Topp-Leone-Gompertz-exponentiated half logistic-G (TL-Gom-EHL-G) distribution. Some mathematical and statistical properties of this family of distributions are derived. To estimate and evaluate the model parameters, the maximum likelihood estimation technique is used, and the consistency of maximum likelihood estimators is examined using Monte Carlo simulation. Applications to three real data sets from different areas were used to demonstrates the usefulness and versatility of the TL-Gom-EHL-G family of distributions.","PeriodicalId":117214,"journal":{"name":"Revista Colombiana de Estadística","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139360222","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 Adaptive Method for Likelihood Optimization in Linear Mixed Models Under Constrained Search Spaces 受限搜索空间下线性混合模型似然优化的自适应方法
Revista Colombiana de Estadística Pub Date : 2023-07-12 DOI: 10.15446/rce.v46n2.104019
Juan Carlos Salazar Uribe, Mauricio A Mazo Lopera, Juan Carlos Correa Morales
{"title":"An Adaptive Method for Likelihood Optimization in Linear Mixed Models Under Constrained Search Spaces","authors":"Juan Carlos Salazar Uribe, Mauricio A Mazo Lopera, Juan Carlos Correa Morales","doi":"10.15446/rce.v46n2.104019","DOIUrl":"https://doi.org/10.15446/rce.v46n2.104019","url":null,"abstract":"Linear mixed effects models are highly flexible in handling correlated data by considering covariance matrices that explain variation patterns between and within clusters. For these covariance matrices, there exist a wide list of possible structures proposed by researchers in multiple scientific areas. Maximum likelihood is the most common estimation method in linear mixed models and it depends on the structured covariance matrices for random effects and errors. Classical methods used to optimize the likelihood function, such as Newton-Raphson or Fisher's scoring, require analytical procedures to obtain parametrical restrictions to guarantee positive definiteness for the structured matrices and it is not, in general, an easy task. To avoid dealing with complex restrictions, we propose an adaptive method that incorporates the so-called Hybrid Genetic Algorithms with a penalization technique based on minimum eigenvalues to guarantee positive definiteness in an evolutionary process which discards non-viable cases. The proposed method is evaluated through simulations and its performance is compared with that of Newton-Raphson algorithm implemented in SAS® PROC MIXED V9.4.","PeriodicalId":117214,"journal":{"name":"Revista Colombiana de Estadística","volume":"198 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139360176","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 Joint Model of Competing Risks in Discrete Time with Longitudinal Information 具有纵向信息的离散时间竞争风险联合模型
Revista Colombiana de Estadística Pub Date : 2023-07-12 DOI: 10.15446/rce.v46n2.98005
Adriana Marcela Salazar, Jaime Abel Huertas
{"title":"A Joint Model of Competing Risks in Discrete Time with Longitudinal Information","authors":"Adriana Marcela Salazar, Jaime Abel Huertas","doi":"10.15446/rce.v46n2.98005","DOIUrl":"https://doi.org/10.15446/rce.v46n2.98005","url":null,"abstract":"The survival competing risks model in discrete time based on multinomial logistic regression, proposed by Luo et al. (2016), models the non-linear and irregular shape of hazard functions by incorporating a time-dependent spline into the multinomial logistic regression. This model also directly includes longitudinal variables in the regression. Due to the issues arising from including both baseline and longitudinal covariates in the extended form as proposed, and considering that the latter may be subject to error, this article suggests an extension of the existing model. The proposed extension utilizes the concept of joint models for longitudinal and survival data, which is an effective approach for integrating simultaneousness both baseline and time-dependent covariates into the survival model.,","PeriodicalId":117214,"journal":{"name":"Revista Colombiana de Estadística","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139360201","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
Bayesian Multi-Faceted TRI Models for Measuring Professor's Performance in the Classroom 衡量教授课堂表现的贝叶斯多面TRI模型
Revista Colombiana de Estadística Pub Date : 2021-07-12 DOI: 10.15446/rce.v44n2.89661
Karen Rosana Cordoba Perozo, Alvaro Mauricio Montenegro Díaz
{"title":"Bayesian Multi-Faceted TRI Models for Measuring Professor's Performance in the Classroom","authors":"Karen Rosana Cordoba Perozo, Alvaro Mauricio Montenegro Díaz","doi":"10.15446/rce.v44n2.89661","DOIUrl":"https://doi.org/10.15446/rce.v44n2.89661","url":null,"abstract":"Evaluations of professor performance are based on the assumption that students learn more from highly qualified professors and the fact that students observe professor performance in the classroom. However, many studies question the methodologies used for such measurements, in general, because the averages of categorical responses make little statistical sense. In this paper, we propose Bayesian multi-faceted item response theory models to measure teaching performance. The basic model takes into account effects associated with the severity of the students responding to the survey, and the courses that are evaluated. The basic model proposed in this work is applied to a data set obtained from a survey of perception of professor performance conducted by Science Faculty of the Universidad Nacional de Colombia to its students. professor scores that are obtained as model outputs are real numerical values that can be used to calculate common statistics in professor evaluation. In this case, the statistics are mathematically consistent. Some of them are shown to illustrate the usefulness of the model.","PeriodicalId":117214,"journal":{"name":"Revista Colombiana de Estadística","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123898387","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
Kernel Function in Local Linear Peters-Belson Regression 局部线性Peters-Belson回归的核函数
Revista Colombiana de Estadística Pub Date : 2018-07-01 DOI: 10.15446/rce.v41n2.65654
M. Bolbolian Ghalibaf
{"title":"Kernel Function in Local Linear Peters-Belson Regression","authors":"M. Bolbolian Ghalibaf","doi":"10.15446/rce.v41n2.65654","DOIUrl":"https://doi.org/10.15446/rce.v41n2.65654","url":null,"abstract":"Determining the extent of a disparity, if any, between groups of people, for example, race or gender, is of interest in many fields, including public health for medical treatment and prevention of disease or in discrimination cases concerning equal pay to estimate the pay disparities between minority and majority employees. An observed difference in the mean outcome between a majority/advantaged group (AG) and minority/disadvantaged group (DG) can be due to differences in the distribution of relevant covariates. The Peters Belson (PB) method fits a regression model with covariates to the AG to predict, for each DG member, their outcome measure as if they had been from the AG. The difference between the mean predicted and the mean observed outcomes of DG members is the (unexplained) disparity of interest. PB regression is a form of statistical matching, akin in spirit to Bhattacharya's band-width matching. In this paper we review the use of PB regression in legal cases from Hikawa et al. (2010b) Parametric and nonparametric approaches to PB regression are described and we show that in nonparametric PB regression choose a kernel function can be better resulted, i.e. by selecting the appropriate kernel function we can reduce bias and variance of estimators, also increase power of test.","PeriodicalId":117214,"journal":{"name":"Revista Colombiana de Estadística","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127772688","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
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