This paper studies properties of the portmanteau statistic proposed by Box and Pierce [1] and its modification of Ljung and Box [2]. We show that these portmanteau statistics are feasible analogs to optimal tests for the class of statistics which are linear combinations of consistent estimates of serial correlations. We find, however, that for sample sizes commonly encountered in practice, the ...

The paper proposes two inferential tests for error correlation in the functional linear model, which complement the available graphical goodness-of-fit checks. To construct them, finite dimensional residuals are computed in two different ways, and then their autocorrelations are suitably defined. From these autocorrelation matrices, two quadratic forms are constructed whose limiting distributio...

1Departments of Zoology and Botany and Beaty Biodiversity Museum, University of British Columbia, 6270 University Boulevard, Vancouver, British Columbia, Canada V6T 1Z4; 2Departments of Zoology and Biodiversity Research Centre, University of British Columbia, 6270 University Boulevard, Vancouver, British Columbia, Canada V6T 1Z4 and 3Department of Biological Sciences, Macquarie University, Sydn...

We propose information theoretic tests for serial independence and linearity in time series. The test statistics are based on the conditional mutual information, a general measure of dependence between lagged variables. In case of rejecting the null hypothesis, this readily provides insights into the lags through which the dependence arises. The conditional mutual information is estimated using...

In this paper, we provide a model-free test for asymmetric correlations which suggest stocks tend to have greater correlations with the market when the market goes down than when it goes up. In addition, we evaluate the economic significance of asymmetric correlations by answering the question that what is the utility gain for an investor who switches from a belief of symmetric correlations int...

We demonstrate that simple correlation between the various tests of iron status is not sufficient for examining their value in diagnosing iron deficiency (ID). Three degrees of ID are recognized: Iron depletion (ID grade I) is defined by decreased total body iron and normal iron support to erythropoiesis, as diagnosed by decreased storage iron, decreased ferritin, normal sideroblast count, norm...