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Multivariate Variance Residual Life in Discrete Time 离散时间中的多变量方差剩余寿命
IF 1.9
Statistica Pub Date : 2018-01-11 DOI: 10.6092/ISSN.1973-2201/6856
Unnikrishnan N. Nair, S. Paduthol, Nidhi P. Ramesh
{"title":"Multivariate Variance Residual Life in Discrete Time","authors":"Unnikrishnan N. Nair, S. Paduthol, Nidhi P. Ramesh","doi":"10.6092/ISSN.1973-2201/6856","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/6856","url":null,"abstract":"Among various characteristics of residual life, the concept of variance residual life in the univariate case has been extensively discussed in reliability literature. In the present work we extend this notion to the discrete multivariate case and study its properties. Different versions of classes of multivariate distributions based on the monotonicity of variance residual life are also presented along with some characterizations.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"181-205"},"PeriodicalIF":1.9,"publicationDate":"2018-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43691576","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
Ranked Set Two-Sample Permutation Test 排序集两样本排列检验
IF 1.9
Statistica Pub Date : 2018-01-11 DOI: 10.6092/ISSN.1973-2201/6742
M. Samuh
{"title":"Ranked Set Two-Sample Permutation Test","authors":"M. Samuh","doi":"10.6092/ISSN.1973-2201/6742","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/6742","url":null,"abstract":"In this paper, ranked set two-sample permutation test of comparing two-independent groups in terms of some measure of location is presented. Three test statistics are proposed. The statistical power of these new test statistics are evaluated numerically. The results are compared with the statistical power of the usual two-sample permutation test under simple random sampling and with the classical independent two-sample t -test.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"237-249"},"PeriodicalIF":1.9,"publicationDate":"2018-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45858424","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
On Some Aspects of a Generalized Asymmetric Normal Distribution 关于广义非对称正态分布的若干问题
IF 1.9
Statistica Pub Date : 2018-01-11 DOI: 10.6092/ISSN.1973-2201/7134
C. Kumar, G. V. Anila
{"title":"On Some Aspects of a Generalized Asymmetric Normal Distribution","authors":"C. Kumar, G. V. Anila","doi":"10.6092/ISSN.1973-2201/7134","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/7134","url":null,"abstract":"The normal and skew normal distributions are not adequate enough for modeling plurimodal data situations. In order to overcome this drawback of normal and skew normal distribution, Kumar and Anusree (2011) proposed a new class of distribution namely \"the generalized mixture of standard normal and skew normal distributions (GMNSND)\". In this paper we consider an extended version of the GMNSND as a wide class of plurimodal asymmetric normal distribution and investigate some of its important distributional properties. Location-scale extension of the proposed model is also defined and discussed the estimation of its parameters by method of maximum likelihood. Further, four real life data sets are considered for illustrating the usefulness of this model.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"161-179"},"PeriodicalIF":1.9,"publicationDate":"2018-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42080915","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
Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings 三参数毛刺分布的可靠性函数估计与测试方法
IF 1.9
Statistica Pub Date : 2018-01-11 DOI: 10.6092/ISSN.1973-2201/6965
Ajit Chaturvedi, Shantanu Vyas
{"title":"Estimation and Testing Procedures for the Reliability Functions of Three Parameter Burr Distribution under Censorings","authors":"Ajit Chaturvedi, Shantanu Vyas","doi":"10.6092/ISSN.1973-2201/6965","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/6965","url":null,"abstract":"Athree parameter Burr distribution is considered. Two measures of reliability are discussed. Point and interval estimation procedures are developed for the parameters, and reliability functions under type II and type I censoring. Two types of point estimators namely- uniformly minimum variance unbiased estimators (UMVUES) and maximum likelihood estimators (MLES) are derived. Asymptotic variance-covariance matrix and confidence intervals for MLE’s are obtained. Testing procedures are also developed for various hypotheses.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"207-235"},"PeriodicalIF":1.9,"publicationDate":"2018-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43375821","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
Optimal Designs to Develop and Support an Experimental Strategy on Innovation of Thermoforming Production Process 优化设计开发和支持热成形工艺创新实验策略
IF 1.9
Statistica Pub Date : 2017-10-24 DOI: 10.6092/ISSN.1973-2201/6919
Fabrizio Ronchi, L. Salmaso, M. D. Dominicis, J. Illert
{"title":"Optimal Designs to Develop and Support an Experimental Strategy on Innovation of Thermoforming Production Process","authors":"Fabrizio Ronchi, L. Salmaso, M. D. Dominicis, J. Illert","doi":"10.6092/ISSN.1973-2201/6919","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/6919","url":null,"abstract":"The experimental strategy developed thanks to the DOE methodology enhance innovation capability in the field of thermoforming production processes for active packaging. It is composed of three phases: i) material characterization, ii) production in pilot line, and iii) performance of final product. It allows selection of material, and correlation between control factors in production and performances of final product. Use of optimal designs allows reduction of number of tests, and in the meantime a full exploration of factorial space","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"109-131"},"PeriodicalIF":1.9,"publicationDate":"2017-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42368492","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
Estimation of Additive Error in Mixed Spectra for Stable Processes 稳定过程混合谱中加性误差的估计
IF 1.9
Statistica Pub Date : 2017-10-24 DOI: 10.6092/ISSN.1973-2201/7300
R. Sabre
{"title":"Estimation of Additive Error in Mixed Spectra for Stable Processes","authors":"R. Sabre","doi":"10.6092/ISSN.1973-2201/7300","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/7300","url":null,"abstract":"Consider a symmetric α stable process having a spectral representation with an additive constant error. An estimator of that error and its rate of convergence are given. We study the rate of convergence when the spectral density have some behaviors at origin. Few long memory processes are taken here as example.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"75-90"},"PeriodicalIF":1.9,"publicationDate":"2017-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45987213","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
On Dynamic Generalized Measures of Inaccuracy 不准确性的动态广义度量
IF 1.9
Statistica Pub Date : 2017-10-24 DOI: 10.6092/ISSN.1973-2201/6688
S. Kayal, S. S. Madhavan, R. Ganapathy
{"title":"On Dynamic Generalized Measures of Inaccuracy","authors":"S. Kayal, S. S. Madhavan, R. Ganapathy","doi":"10.6092/ISSN.1973-2201/6688","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/6688","url":null,"abstract":"Generalized information measures play an important role in the measurement of uncertainty of certain random variables, where the standard practice of applying ordinary uncertainty measures fails to fit. Based on the Renyi entropy and its divergence, we propose a generalized measure of inaccuracy of order α(≠1)>0 between two residual and past lifetime distributions of a system. We study some important properties and characterizations of these measures. A numerical example is given to illustrate the usefulness of the proposed measure.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"133-148"},"PeriodicalIF":1.9,"publicationDate":"2017-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41573790","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
Asymptotic Pitman's Relative Efficiency 渐近皮特曼相对效率
IF 1.9
Statistica Pub Date : 2017-10-24 DOI: 10.6092/ISSN.1973-2201/6762
C. Withers, S. Nadarajah
{"title":"Asymptotic Pitman's Relative Efficiency","authors":"C. Withers, S. Nadarajah","doi":"10.6092/ISSN.1973-2201/6762","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/6762","url":null,"abstract":"Pitman efficiency is the oldest known efficiency.  Most of the known results for computing the Pitman efficiency take the form of bounds.  Based on some recent developments due to the authors and some calculus of variations, we develop tools for computing the Pitman efficiency exactly. Their use is illustrated numerically.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"91-108"},"PeriodicalIF":1.9,"publicationDate":"2017-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45019069","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
Sample size recommendation for a bioequivalent study 生物等效性研究的样本量建议
IF 1.9
Statistica Pub Date : 2017-04-07 DOI: 10.6092/ISSN.1973-2201/6699
C. Bhupathi, Venakata HaraGopal Vajjha
{"title":"Sample size recommendation for a bioequivalent study","authors":"C. Bhupathi, Venakata HaraGopal Vajjha","doi":"10.6092/ISSN.1973-2201/6699","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/6699","url":null,"abstract":"There are clear guidelines and suggestions on the sample size and power calculation from health authorities (HA) for Bio equivalence (BE) studies in Healthy volunteers (HV). The suggested power is at least 80% and type 1 error is 5%. In real life situations, the clinical trials plan with more than 80%, giving rise to larger sample size. The increased power means more subjects, more wastage of time and more resources to complete the study, resulting in more money spent. This paper attempts to show how much reduction in the sample size can be achieved without affecting the scientific validity of the study and also the brief summary on the overall effect of reduced sample size on resources (subjects, time, blood and cost). We executed simulations in order to show the impact on the power and the 2 one sided confidence interval approach to show the study equivalence or otherwise. For illustration purpose, a couple of 2 period cross over studies were considered. 100 simulations were executed with different sample sizes to compare with the original results.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"65-71"},"PeriodicalIF":1.9,"publicationDate":"2017-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47616538","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
Bayesian statistical inference 贝叶斯统计推断
IF 1.9
Statistica Pub Date : 2017-04-07 DOI: 10.6092/ISSN.1973-2201/6805
B. D. Finetti
{"title":"Bayesian statistical inference","authors":"B. D. Finetti","doi":"10.6092/ISSN.1973-2201/6805","DOIUrl":"https://doi.org/10.6092/ISSN.1973-2201/6805","url":null,"abstract":"This work was translated into English and published in the volume: Bruno De Finetti, Induction and Probability, Biblioteca di Statistica, eds. P. Monari, D. Cocchi, Clueb, Bologna, 1993. Bayesian statistical Inference is one of the last fundamental philosophical papers in which we can find the essential De Finetti's approach to the statistical inference.","PeriodicalId":45117,"journal":{"name":"Statistica","volume":"77 1","pages":"3-11"},"PeriodicalIF":1.9,"publicationDate":"2017-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49519854","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: 38
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