Suchergebnisse

1 Sufficiency -- 1.1 Introduction -- 1.2 Factorization criterion -- 1.3 Distribution of statistics conditional on a sufficient statistic -- 1.4 Joint sufficiency -- 1.5 Minimal sufficiency -- 2 Unbiased point estimators -- 2.1 Introduction -- 2.2 Rao-Blackwell theorem -- 2.3 The role of sufficient statistics -- 2.4 Completeness -- 2.5 Joint completeness -- 2.6 Sufficiency, completeness and independence -- 2.7 Minimum-variance bounds -- 2.8 Computation of a minimum-variance bound -- 2.9 Minimum attainable variance -- 2.10 Mean square error -- 2.11 Two parameters -- 3 Elementary decision theory and Bayesian methods -- 3.1 Comments on classical techniques -- 3.2 Loss functions -- 3.3 Decision theory -- 3.4 Bayes decisions -- 3.5 Using data -- 3.6 Computing posterior distributions -- 3.7 Conjugate distributions -- 3.8 Distribution of the next observation -- 3.9 More than one parameter -- 3.10 Decision functions -- 3.11 Bayes estimators -- 3.12 Admissibility -- 4 Methods of estimation -- 4.1 Introduction -- 4.2 Maximum likelihood estimation -- 4.3 Locating the maximum likelihood estimator -- 4.4 Estimation of a function of a parameter -- 4.5 Truncation and censoring -- 4.6 Estimation of several parameters -- 4.7 Approximation techniques -- 4.8 Large-sample properties -- 4.9 Method of least squares -- 4.10 Normal equations -- 4.11 Solution of the normal equations (non-singular case) -- 4.12 Use of matrices -- 4.13 Best unbiased linear estimation -- 4.14 Co variance matrix -- 4.15 Relaxation of assumptions -- 5 Hypothesis testing I -- 5.1 Introduction -- 5.2 Statistical hypothesis -- 5.3 Simple null hypothesis against simple alternative -- 5.4 Applications of the Neyman-Pearson theorem -- 5.5 Uniformly most powerful tests for a single parameter -- 5.6 Most powerful randomized tests -- 5.7 Hypothesis testing as a decision process -- 5.8 Minimax and Bayes tests -- 6 Hypothesis testing II -- 6.1 Two-sided tests for a single parameter -- 6.2 Neyman-Pearson theorem extension (nonrandomized version) -- 6.3 Regular exponential family of distributions -- 6.4 Uniformly most powerful unbiased test of ? = ?0 against ? ? ?0 -- 6.5 Nuisance parameters -- 6.6 Similar tests -- 6.7 Composite hypotheses-several parameters -- 6.8 Likelihood ratio tests -- 6.9 Bayes methods -- 6.10 Loss function for one-sided hypotheses -- 6.11 Testing ? = ?0 against ? ? ?0 -- 7 Interval estimation -- 7.1 One parameter, Bayesian confidence intervals -- 7.2 Two parameters, Bayesian confidence regions -- 7.3 Confidence intervals (classical) -- 7.4 Most selective limits -- 7.5 Relationship to best tests -- 7.6 Unbiased confidence intervals -- 7.7 Nuisance parameters -- 7.8 Discrete distributions -- 7.9 Relationship between classical and Bayesian intervals -- 7.10 Large-sample confidence intervals -- Appendix 1 Functions of random variables -- A 1.1 Introduction -- A 1.2 Transformations: discrete distributions -- A1.3 Continuous distributions -- A 1.4 The order statistics -- Appendix 2 The regular exponential family of distributions -- A2.1 Single parameter -- A2.2 Several parameters -- A2.3 The regular exponential family of bivariate distributions -- Further exercises -- Brief solutions to further exercises -- Further reading -- Author index.

This comprehensive study is concerned primarily with the fundamental problem of the role of the judiciary in the federal system of Canadian government. The author criticizes previous accounts of the Judicial Committee's interpretative scheme for the British North American Act because of their neglect of underlying jurisprudential assumptions and their readiness to accept the textual criticisms levelled in the O'Connor Report of 1939; they fail to note the relationship between the jurisprudential and the textual aspects. Professor Browne is convinced that O'Connor's criticism is as ill founded as the alternative interpretive scheme he proposed, and that the "three-compartment" view represents the most convincing construction of sections 91 and 92 of the Act. He considers debatable the "organic statute" argument widely accepted in the United States and becoming more and more popular in Canada; and supports the premium which English courts have traditionally placed on certainty and stability in the law. Professor Browne concludes that the almost universal criticism in Canada of the Judicial Committee's construction of the BNA Act is basically misconceived: Canadian jurists should think carefully before following trends set by American courts, for American purposes, in the context of American law, particularly when the repercussions of those trends are not as yet fully appreciated. This discussion will be of special interest for legal, political, and historical studies in this country, the United States, and other Commonwealth countries, especially those which have federal systems and consequently share the same basic problems of the judiciary in such a system