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We study the effect of weight functions on estimates of parameters from exponential families, and families with monotone likelihood ratio. We illustrate our results on two commonly used indices in meta-analyses, p-values and t-statistics.
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A concept of negative dependence called negative dependence by stochastic ordering is introduced. This concept satisfies various closure properties. It is shown that three models for negetive dependence satisfy it and that it implies the basic negative orthant inequalities. This concept is also...
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The formula of Faa di Bruno is used to calculate higher order derivatives of a composition of functions. In this paper, we first review the multivariate version due to Constantine and Savits [A multivariate Faa di Bruno formula with applications, Trans. AMS 348 (1996) 503-520]. We next derive...
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It is well known that if X is a random variable with distribution function G, then G-1 (U) has the same distribution as X, where U is uniform on (0, 1); moreover, if G is a continuous function, then G(X) has a uniform distribution on (0, 1). In this paper we consider some related results.
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