A note on the local power of the LR, Wald, score and gradient tests

This paper examines the local power of the likelihood ratio, Wald, score and gradient tests under the presence of a scalar parameter, phi say, that is orthogonal to the remaining parameters. We show that some of the coefficients that define the local powers remain unchanged regardless of whether phi is known or needs to be estimated, where as the others can be written as the sum of two terms, the first of which being the corresponding term obtained as if phi were known, and the second, an additional term yielded by the fact that phi is unknown. The contribution of each set of parameters on the local powers of the tests can then be examined. Various implications of our main result are stated and discussed. Several examples are presented for illustrative purposes

Elections and Democracy in Brazil: Victor Nunes Leal and the 1945 Transition

This article discusses the necessary conditions for a democratic government to prevail, with the study Coronelismo: the Municipality and Representative Government in Brazil as the point of departure. The article seeks to identify the book's causal explanations for the emergence of democracy, and more precisely for regimes in which governments lose elections. Why were elections not truly competitive over the course of the Empire and the First Republic? Why did they change after the fall of the Estado Novo? Nunes Leal was one of the few Brazilian authors to explicitly tackle this challenge.

And Trategies brazilian of power and territorialization for the control of the Islands of the Atlantic South

United Nations on the Rights of the Sea (UNCLOS) and the Convention of Heritage Cultural and Natural of the Humanity.

Local power and size properties of the LR, Wald, score and gradient tests in dispersion models

We derive asymptotic expansions for the nonnull distribution functions of the likelihood ratio, Wald, score and gradient test statistics in the class of dispersion models, under a sequence of Pitman alternatives. The asymptotic distributions of these statistics are obtained for testing a subset of regression parameters and for testing the precision parameter. Based on these nonnull asymptotic expansions, the power of all four tests, which are equivalent to first order, are compared. Furthermore, in order to compare the finite-sample performance of these tests in this class of models, Monte Carlo simulations are presented. An empirical application to a real data set is considered for illustrative purposes. (C) 2012 Elsevier B.V. All rights reserved.