Statistica Neerlandica最新文献

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Stochastic comparisons of largest claim amounts from heterogeneous portfolios 异质投资组合中最大索赔金额的随机比较
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-04-20 DOI: 10.1111/stan.12296
Pradip Kundu, Amarjit Kundu, Biplab Hawlader
{"title":"Stochastic comparisons of largest claim amounts from heterogeneous portfolios","authors":"Pradip Kundu, Amarjit Kundu, Biplab Hawlader","doi":"10.1111/stan.12296","DOIUrl":"https://doi.org/10.1111/stan.12296","url":null,"abstract":"This paper investigates stochastic comparisons of largest claim amounts of two sets of independent or interdependent portfolios in the sense of some stochastic orders. Let random variable Xi$$ {X}_i $$ ( i=1,…,n$$ i=1,dots, n $$ ) with distribution function F(x;αi)$$ Fleft(x;{alpha}_iright) $$ , represents the claim amount for ith risk of a portfolio. Here two largest claim amounts are compared considering that the claim variables follow a general semiparametric family of distributions having the property that the survival function F‾(x;α)$$ overline{F}left(x;alpha right) $$ is increasing in α$$ alpha $$ or is increasing and convex/concave in α$$ alpha $$ . The results obtained in this paper apply to a large class of well‐known distributions including the family of exponentiated/generalized distributions (e.g., exponentiated exponential, Weibull, gamma and Pareto family), Rayleigh distribution and Marshall–Olkin family of distributions. As a direct consequence of some main theorems, we also obtained the results for scale family of distributions. Several numerical examples are provided to illustrate the results.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"75 1","pages":"497 - 515"},"PeriodicalIF":1.5,"publicationDate":"2023-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74143095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Analysis of cross‐over experiments with count data in the presence of carry‐over effects 对存在结转效应的计数数据进行交叉实验分析
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-04-16 DOI: 10.1111/stan.12295
Nelson Alirio Cruz, Luis Alberto López Pérez, Oscar Orlando Melo
{"title":"Analysis of cross‐over experiments with count data in the presence of carry‐over effects","authors":"Nelson Alirio Cruz, Luis Alberto López Pérez, Oscar Orlando Melo","doi":"10.1111/stan.12295","DOIUrl":"https://doi.org/10.1111/stan.12295","url":null,"abstract":"This paper presents an experimental cross‐over design whose response variable is a count that belongs to the Poisson distribution. The methodology is extended to data with overdispersion or subdispersion. We present the theoretical development for analysis of cases with few treatments and a few periods. In this case, we consider the log‐linear link for estimation effects and the Delta method for the asymptotic inference of the estimators. When the number of periods and sequences increases, we propose an extension of the previous methodology, using the generalized linear models. In this extension, cross‐over designs for count data include treatments, sequences, time effects, covariables, and any correlation structure. The most important result of the methodology is that it allows the detection of significant factors within the cross‐over design when the response variable belongs to the exponential family, especially the treatment effects. Finally, we present the analysis of data obtained in a student hydration study and a simulation study. We show a comparison between the usual methods of analysis and those obtained in the present work, demonstrating the advantage over the usual methods in situations with carry‐over presence.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"1 1","pages":"516 - 542"},"PeriodicalIF":1.5,"publicationDate":"2023-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89772271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Estimating function method for nonnegative autoregressive models 非负自回归模型的估计函数方法
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-03-31 DOI: 10.1111/stan.12294
E. Hari, Prasad N. Balakrishna, E. H. Prasad
{"title":"Estimating function method for nonnegative autoregressive models","authors":"E. Hari, Prasad N. Balakrishna, E. H. Prasad","doi":"10.1111/stan.12294","DOIUrl":"https://doi.org/10.1111/stan.12294","url":null,"abstract":"A stationary sequence of nonnegative random variables generated by autoregressive (AR) models may be used to describe the inter‐arrival times between events in counting processes. Even though, several such models are available in the literature, there is no unified approach to estimate their parameters. In this paper, we propose a class of combined estimating function method to estimate the model parameters of AR models with gamma marginals. The proposed method is compared with other estimation procedures and are illustrated by simulation and data analysis.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"3 1","pages":"471 - 496"},"PeriodicalIF":1.5,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86547801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A robust mixed‐effects parametric quantile regression model for continuous proportions: Quantifying the constraints to vitality in cushion plants 连续比例的鲁棒混合效应参数分位数回归模型:量化缓冲植物活力的约束
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-03-29 DOI: 10.1111/stan.12293
D. Burger, Sean van der Merwe, E. Lesaffre, P. C. le Roux, Morgan J. Raath‐Krüger
{"title":"A robust mixed‐effects parametric quantile regression model for continuous proportions: Quantifying the constraints to vitality in cushion plants","authors":"D. Burger, Sean van der Merwe, E. Lesaffre, P. C. le Roux, Morgan J. Raath‐Krüger","doi":"10.1111/stan.12293","DOIUrl":"https://doi.org/10.1111/stan.12293","url":null,"abstract":"There is no literature on outlier‐robust parametric mixed‐effects quantile regression models for continuous proportion data as an alternative to systematically identifying and eliminating outliers. To fill this gap, we formulate a robust method by extending the recently proposed fixed‐effects quantile regression model based on the heavy‐tailed Johnson‐ t$$ t $$ distribution for continuous proportion data to the mixed‐effects modeling context, using a Bayesian approach. Our proposed method is motivated by and used to model the extreme quantiles of the vitality of cushion plants to provide insights into the ecology of the system in which the plants are dominant. We conducted a simulation study to assess the new method's performance and robustness to outliers. We show that the new model has good accuracy and confidence interval coverage properties and is remarkably robust to outliers. In contrast, our study demonstrates that the current approach in the literature for modeling hierarchically structured bounded data's quantiles is susceptible to outliers, especially when modeling the extreme quantiles. We conclude that the proposed model is an appropriate robust alternative to the current approach for modeling the quantiles of correlated continuous proportions when outliers are present in the data.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"4 1","pages":"444 - 470"},"PeriodicalIF":1.5,"publicationDate":"2023-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90397245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A partial posterior p value test for multilevel mediation 多水平中介的部分后验p值检验
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-03-16 DOI: 10.1111/stan.12291
Kyle Cox, Ben Kelcey
{"title":"A partial posterior p value test for multilevel mediation","authors":"Kyle Cox, Ben Kelcey","doi":"10.1111/stan.12291","DOIUrl":"https://doi.org/10.1111/stan.12291","url":null,"abstract":"A variety of inferential tests are available for single and multilevel mediation but most come with notable limitations that balance tradeoffs between power and Type I error. We extend the partial posterior p value method (p3 method) to test multilevel mediation. This contemporary resampling‐based composite approach is specifically suited for complex null hypotheses. We develop the p3 method and investigate its performance within the context of two‐level cluster‐randomized multilevel mediation studies. Similar to its performance in single‐level studies, we found that the p3 method performed well relative to other mediation tests suggesting it provides a judicious balance between Type I error rate and power. While bias‐corrected bootstrapping achieved the best overall performance, the p3 method serves as an alternative tool for researchers investigating multilevel mediation that is especially useful when conducting a priori power analyses. To encourage utilization, we provide R code for implementing the p3 method.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"39 1","pages":"408 - 428"},"PeriodicalIF":1.5,"publicationDate":"2023-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80357683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A portmanteau test for the iid hypothesis iid假设的组合检验
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-02-28 DOI: 10.1111/stan.12290
Ricardo Bórquez
{"title":"A portmanteau test for the iid hypothesis","authors":"Ricardo Bórquez","doi":"10.1111/stan.12290","DOIUrl":"https://doi.org/10.1111/stan.12290","url":null,"abstract":"In this paper, we introduce a new portmanteau test for the iid hypothesis, where the elements of the sample are allowed to take values in a general space (e.g., a function space). We study the finite sample properties of our test, evaluating its performance in terms of empirical size and power. In particular, we compare the empirical power of our test with the power of other tests in the literature designed to work in a specific data setting, as the one‐way analysis of variance test used in experimental data analysis and three portmanteau tests used in time series analysis. In every case, we found conditions where our test outperformed in power to the competing test. Finally, to illustrate the usefulness of our test, we implement it on two real‐world applications based on function‐valued data.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"14 1","pages":"391 - 402"},"PeriodicalIF":1.5,"publicationDate":"2023-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86661955","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bayesian solution to the monotone likelihood in the standard mixture cure model 标准混合固化模型单调似然的贝叶斯解
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-02-26 DOI: 10.1111/stan.12289
F. M. Almeida, V. D. Mayrink, E. Colosimo
{"title":"Bayesian solution to the monotone likelihood in the standard mixture cure model","authors":"F. M. Almeida, V. D. Mayrink, E. Colosimo","doi":"10.1111/stan.12289","DOIUrl":"https://doi.org/10.1111/stan.12289","url":null,"abstract":"An advantage of the standard mixture cure model over an usual survival model is how it accounts for the population heterogeneity. It allows a joint estimation for the distribution related to the susceptible and non‐susceptible subjects. The estimation algorithm may provide ±∞$$ pm infty $$ coefficients when the likelihood cannot be maximized. This phenomenon is known as Monotone Likelihood (ML), common in survival and logistic regressions. The ML tends to appear in situations with small sample size, many censored times, many binary or unbalanced covariates. Particularly, it occurs when all uncensored cases correspond to one level of a binary covariate. The existing frequentist solution is an adaptation of the Firth correction, originally proposed to reduce bias of maximum likelihood estimates. It prevents ±∞$$ pm infty $$ estimates by penalizing the likelihood, with the penalty interpreted as the Bayesian Jeffreys prior. In this paper, the penalized likelihood of the standard mixture cure model is considered with different penalties (Bayesian priors). A Monte Carlo simulation study indicates good inference results, especially for balanced data sets. Finally, a real application involving a melanoma data illustrates the approach.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"1 1","pages":"365 - 390"},"PeriodicalIF":1.5,"publicationDate":"2023-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73074811","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Testing the common risk difference of proportions for stratified uni‐ and bilateral correlated data 检验分层单侧和双侧相关数据的共同风险差异比例
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-02-16 DOI: 10.1111/stan.12288
Zhiming Li, Changxing Ma, Keyi Mou
{"title":"Testing the common risk difference of proportions for stratified uni‐ and bilateral correlated data","authors":"Zhiming Li, Changxing Ma, Keyi Mou","doi":"10.1111/stan.12288","DOIUrl":"https://doi.org/10.1111/stan.12288","url":null,"abstract":"In medical clinical studies, uni‐ and bilateral data naturally occurs if each patient contributes either one or both of paired organ measurements in a stratified design. This paper mainly proposes a common test of risk differences between proportions for stratified uni‐ and bilateral correlated data. Likelihood ratio, score, and Wald‐type test statistics are constructed using global, unconstrained, and constrained maximum likelihood estimations of parameters. Simulation studies are conducted to evaluate the performance of these test procedures in terms of type I error rates and powers. Empirical results show that the likelihood ratio test is more robust and powerful than other statistics. A real example is used to illustrate the proposed methods.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"36 1","pages":"340 - 364"},"PeriodicalIF":1.5,"publicationDate":"2023-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78938507","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Inference in the presence of likelihood monotonicity for proportional hazards regression 比例风险回归中存在似然单调性的推理
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-01-20 DOI: 10.1111/stan.12287
J. Kolassa, Juan Zhang
{"title":"Inference in the presence of likelihood monotonicity for proportional hazards regression","authors":"J. Kolassa, Juan Zhang","doi":"10.1111/stan.12287","DOIUrl":"https://doi.org/10.1111/stan.12287","url":null,"abstract":"Proportional hazards are often used to model event time data subject to censoring. Samples involving discrete covariates with strong effects can lead to infinite maximum partial likelihood estimates. A methodology is presented for eliminating nuisance parameters estimated at infinity using approximate conditional inference. Of primary interest is testing in cases in which the parameter of primary interest has a finite estimate, but in which other parameters are estimated at infinity.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"43 1","pages":"322 - 339"},"PeriodicalIF":1.5,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77308751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Discretized skew‐t mixture model for deconvoluting liquid chromatograph mass spectrometry data 反卷积液相色谱仪质谱数据的离散偏t混合模型
IF 1.5 3区 数学
Statistica Neerlandica Pub Date : 2023-01-13 DOI: 10.1111/stan.12285
Xuwen Zhu, Xiang Zhang
{"title":"Discretized skew‐t mixture model for deconvoluting liquid chromatograph mass spectrometry data","authors":"Xuwen Zhu, Xiang Zhang","doi":"10.1111/stan.12285","DOIUrl":"https://doi.org/10.1111/stan.12285","url":null,"abstract":"In this paper, new statistical algorithms for accurate peak detection in the metabolomic data are proposed. Specifically, liquid chromatograph‐mass spectrometry data are analyzed. The discretized skew‐t mixture model for peak detection is proposed. It shows great flexibility and capability in fitting skewed or heavy‐tailed peaks. The methodology is further extended to cross‐sample peak alignment for identifying the true peaks. A measure of peak credibility is provided through the assessment of misclassification probabilities between two cross‐sample peaks. The proposed algorithms are applied to spike‐in data with promising results.","PeriodicalId":51178,"journal":{"name":"Statistica Neerlandica","volume":"16 1","pages":"284 - 303"},"PeriodicalIF":1.5,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78459194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","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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