The conceptual framework for causes presented here is intended neither as a review nor an expansion of knowledge, but rather as a viewpoint which bridges the gap between metaphysical notions of cause and basic epidemiologic parameters. The focus, then, is neither metaphysics nor epidemiology, but the gulf between them. In the same spirit as recent discussion on these pages about definitions of ...

In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.

background: polycystic ovary syndrome (pcos) is the most common endocrine disorder in females of reproductive age. insulin resistance is a frequent metabolic disturbance in pcos. vitamin d deficiency is a common problem. accumulating evidence suggests that vitamin d has a role on insulin sensitivity so may contribute to reduction of hyperandrogenemia. objective: the aim was to determine the eff...

In regression with a high-dimensional predictor vector, it is important to estimate the central and central mean subspaces that preserve sufficient information about the response and the mean response. Using the Fourier transform, we have derived the candidate matrices whose column spaces recover the central and central mean subspaces exhaustively. Under the normality assumption of the predicto...

The central mean and central subspaces of generalized multiple index model are the main inference targets of sufficient dimension reduction in regression. In this article, we propose an integral transform (ITM) method for estimating these two subspaces. Applying the ITM method, estimates are derived, separately, for two scenarios: (i) No distributional assumptions are imposed on the predictors,...

We develop tests of the hypothesis of no effect for selected predictors in regression, without assuming a model for the conditional distribution of the response given the predictors. Predictor effects need not be limited to the mean function and smoothing is not required. The general approach is based on sufficient dimension reduction, the idea being to replace the predictor vector with a lower...

Bentonite is a native, colloidal, hydrated aluminum silicate. It occurs as a very fine, odorless, pale buff or cream-colored powder, free from grit, and has a slightly earthy taste. Although it is insoluble in water, it swells to approximately 12 times its volume when added to water. Bentonite magma is prepared by adding 50 gm. of bentonite to a sufficient quantity of purified water to make 1 l...

Existing model-free tests of the conditional coordinate hypothesis in sufficient dimension reduction (Cook (1998) [3]) focused mainly on the first-order estimation methods such as the sliced inverse regression estimation (Li (1991) [14]). Such testing procedures based on quadratic inference functions are difficult to be extended to second-order sufficient dimension reduction methods such as the...

We investigate the estimation efficiency of the central mean subspace in the framework of sufficient dimension reduction. We derive the semiparametric efficient score and study its practical applicability. Despite the difficulty caused by the potential high dimension issue in the variance component, we show that locally efficient estimators can be constructed in practice. We conduct simulation ...