Pub Date : 1974-01-01DOI: 10.1007/978-94-017-2300-8_14
P. Suppes
{"title":"The Measurement of Belief","authors":"P. Suppes","doi":"10.1007/978-94-017-2300-8_14","DOIUrl":"https://doi.org/10.1007/978-94-017-2300-8_14","url":null,"abstract":"","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"16 1","pages":"160-175"},"PeriodicalIF":0.0,"publicationDate":"1974-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76462172","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}
Pub Date : 1973-07-01DOI: 10.1111/J.2517-6161.1973.TB00971.X
F. Streit
{"title":"Mean-Value Formulae for a Class of Random Sets","authors":"F. Streit","doi":"10.1111/J.2517-6161.1973.TB00971.X","DOIUrl":"https://doi.org/10.1111/J.2517-6161.1973.TB00971.X","url":null,"abstract":"","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"77 1","pages":"437-444"},"PeriodicalIF":0.0,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73457776","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}
Pub Date : 1973-07-01DOI: 10.1111/J.2517-6161.1973.TB00975.X
A. Atkinson
SUMMARY Andrews's exact test for the value of the parameter in the Box and Cox parameteric family of transformations is compared with two tests derived from the likelihood function. These two tests are shown, for a numerical example, to be uniformly more powerful than the exact test.
{"title":"Testing Transformations to Normality","authors":"A. Atkinson","doi":"10.1111/J.2517-6161.1973.TB00975.X","DOIUrl":"https://doi.org/10.1111/J.2517-6161.1973.TB00975.X","url":null,"abstract":"SUMMARY Andrews's exact test for the value of the parameter in the Box and Cox parameteric family of transformations is compared with two tests derived from the likelihood function. These two tests are shown, for a numerical example, to be uniformly more powerful than the exact test.","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"14 1","pages":"473-479"},"PeriodicalIF":0.0,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84529691","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}
Pub Date : 1973-07-01DOI: 10.1111/J.2517-6161.1973.TB00968.X
B. Efron, C. Morris
SUMMARY We have two sets of parameters we wish to estimate, and wonder whether the James-Stein estimator should be applied separately to the two sets or once to the combined problem. We show that there is a class of compromise estimators, Bayesian in nature, which will usually be preferred to either alternative. "The difficulty here is to know what problems are to be combined togetherwhy should not all our estimation problems be lumped together into one grand melee ?" GEORGE BARNARD commenting on the James-Stein estimator, 1962.
{"title":"Combining Possibly Related Estimation Problems","authors":"B. Efron, C. Morris","doi":"10.1111/J.2517-6161.1973.TB00968.X","DOIUrl":"https://doi.org/10.1111/J.2517-6161.1973.TB00968.X","url":null,"abstract":"SUMMARY We have two sets of parameters we wish to estimate, and wonder whether the James-Stein estimator should be applied separately to the two sets or once to the combined problem. We show that there is a class of compromise estimators, Bayesian in nature, which will usually be preferred to either alternative. \"The difficulty here is to know what problems are to be combined togetherwhy should not all our estimation problems be lumped together into one grand melee ?\" GEORGE BARNARD commenting on the James-Stein estimator, 1962.","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"46 1","pages":"379-402"},"PeriodicalIF":0.0,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88916218","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}
Pub Date : 1973-07-01DOI: 10.1111/J.2517-6161.1973.TB00970.X
K. Mardia, B. D. Spurr
{"title":"Multisample Tests for Multimodal and Axial Circular Populations","authors":"K. Mardia, B. D. Spurr","doi":"10.1111/J.2517-6161.1973.TB00970.X","DOIUrl":"https://doi.org/10.1111/J.2517-6161.1973.TB00970.X","url":null,"abstract":"","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"47 1","pages":"422-436"},"PeriodicalIF":0.0,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90543700","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}
Pub Date : 1973-07-01DOI: 10.1111/J.2517-6161.1973.TB00973.X
R. C. Dahiya, J. Gurland
Abstract : Tests of fit based on generalized minimum chi-square techniques are developed for bivariate distributions. The asymptotic null distribution of the test statistic is chi square while the asymptotic non-null distribution turns out to be that of a weighted sum of independent non-central chi square variates. The special case of testing the fit of a bivariate normal distribution is investigated in detail and the power is obtained for several alternative families of bivariate distributions. (Author)
{"title":"A Test of Fit for Bivariate Distributions","authors":"R. C. Dahiya, J. Gurland","doi":"10.1111/J.2517-6161.1973.TB00973.X","DOIUrl":"https://doi.org/10.1111/J.2517-6161.1973.TB00973.X","url":null,"abstract":"Abstract : Tests of fit based on generalized minimum chi-square techniques are developed for bivariate distributions. The asymptotic null distribution of the test statistic is chi square while the asymptotic non-null distribution turns out to be that of a weighted sum of independent non-central chi square variates. The special case of testing the fit of a bivariate normal distribution is investigated in detail and the power is obtained for several alternative families of bivariate distributions. (Author)","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"127 1","pages":"452-465"},"PeriodicalIF":0.0,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82385427","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}
Pub Date : 1973-07-01DOI: 10.1111/J.2517-6161.1973.TB00977.X
L. Kupper
{"title":"Minimax Designs for Fourier Series and Spherical Harmonics Regressions : A Characterization of Rotatable Arrangements","authors":"L. Kupper","doi":"10.1111/J.2517-6161.1973.TB00977.X","DOIUrl":"https://doi.org/10.1111/J.2517-6161.1973.TB00977.X","url":null,"abstract":"","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"29 1","pages":"493-500"},"PeriodicalIF":0.0,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88560927","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}
Pub Date : 1973-07-01DOI: 10.1111/J.2517-6161.1973.TB00974.X
S. Saxena, A. Nigam
{"title":"Symmetric‐Simplex Block Designs for Mixtures","authors":"S. Saxena, A. Nigam","doi":"10.1111/J.2517-6161.1973.TB00974.X","DOIUrl":"https://doi.org/10.1111/J.2517-6161.1973.TB00974.X","url":null,"abstract":"","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"2005 1","pages":"466-472"},"PeriodicalIF":0.0,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86961206","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}
Pub Date : 1973-07-01DOI: 10.1111/J.2517-6161.1973.TB00972.X
G. M. El‐Sayyad
SUMMARY This paper is concerned with the problem of testing the existence of a trend in the means Gi of Poisson distributions. It is assumed that these means are changing exponentially, that is, log Gi = ci+/x2. A classical method is reviewed which is used for testing the hypothesis P = 0. The exact Bayesian distribution for P is derived and a Bayesian approximation suggested which proved to be very useful. Finally, a comparison of these three methods by means of numerical examples is made.
{"title":"Bayesian and Classical Analysis of Poisson Regression","authors":"G. M. El‐Sayyad","doi":"10.1111/J.2517-6161.1973.TB00972.X","DOIUrl":"https://doi.org/10.1111/J.2517-6161.1973.TB00972.X","url":null,"abstract":"SUMMARY This paper is concerned with the problem of testing the existence of a trend in the means Gi of Poisson distributions. It is assumed that these means are changing exponentially, that is, log Gi = ci+/x2. A classical method is reviewed which is used for testing the hypothesis P = 0. The exact Bayesian distribution for P is derived and a Bayesian approximation suggested which proved to be very useful. Finally, a comparison of these three methods by means of numerical examples is made.","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"19 1","pages":"445-451"},"PeriodicalIF":0.0,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84879380","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}
Pub Date : 1973-07-01DOI: 10.1111/J.2517-6161.1973.TB00976.X
B. K. Ghosh
{"title":"Some Monotonicity Theorems for χ2, F and T Distributions with Applications","authors":"B. K. Ghosh","doi":"10.1111/J.2517-6161.1973.TB00976.X","DOIUrl":"https://doi.org/10.1111/J.2517-6161.1973.TB00976.X","url":null,"abstract":"","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"1 1","pages":"480-492"},"PeriodicalIF":0.0,"publicationDate":"1973-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77333330","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}
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