Statistical Consulting by Javier Cabrera

By Javier Cabrera

This e-book is meant for the statistician or scholar drawn to turning into a statistical advisor, in addition to consumers who have to comprehend what's all in favour of the consulting technique. It discusses diverse consulting environments, presents exact descriptions of communique talents a expert needs to own, and offers concrete examples and case-studies of various complexity. Emphasis is put on the significance of enticing the client's knowing of the aim and interpretation of statistical procedures.

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Regularty conditions for Cox’s test of non-nested hypotheses. J. Econ. : The large sample distribution of the likelihood ratio for testing composite hypotheses. Ann. Math. Stat. 9, 60–62 (1938) Chapter 3 Bayesian Methods Abstract Bayesian methods of model discrimination are discussed in this chapter. Alternative Bayes factors are presented for when improper priors are used and the usual Bayes factor cannot be specified. The concepts of imaginary training sample and minimal training samples and of partial, fractional, intrinsic and posterior Bayes factors are defined.

81), at least in some applications, may follow a markedly non-normal distribution in samples of moderate size, and it is the poor behavior of this term that accounts for the slower convergence of the distribution of T f g (A). In particular, for some of the distributions investigated by Pereira (1976, 1977a, 1978), ∂ g (βαˆ ) requires a large sample size to become relatively small. Under the null hypothesis, the C statistics should be preferable in terms of skewness and kurtosis. Therefore, from a practical point of view, the C statistics are generally recommended because corrections for lower order moments are considerably more easily obtained.

Here, αˆ and β are the GMM estimators of α and β, respectively, and βα is the probability limit of the GMM estimator βˆ under H f . The procedure is a GMM analog of Cox’s MLE procedure. Simulation results comparing the performance of this test with the Cox test have been presented by Arkonac and Higgins (1995). 69), Otsu et al. (2012) proposed a test employing the generalized empirical likelihood (GEL), which includes the GMM as a special case. Monte Carlo experiments have also been presented for the test of the logistic model as the null model against the Gumbel and Burr models.

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