In this chapter we examine variation in the contents of supernatural minds across cultures and the social correlates of this variation. We first provide a sketch of how humans are capable of representing supernatural minds and emphasize the significance of the types of knowledge attributed to supernatural agents. We then argue that the contents of supernatural minds as represented cross-cultura...

Consider the problem of sequentially testing a null hypothesis vs an alternative hypothesis when the risk function is a linear combination of probability of error in the terminal decision and expected sample size (i.e., constant cost per observation.) Assume that the parameter space is the union of null and alternative, the parameter space is convex, the intersection of null and alternative is ...

We establish the rate of convergence for the modified Beta operators B n f, x, for functions having derivatives of bounded variation.

We show that a certain integral representation of the one-sided Skorokhod reflection of a continuous bounded variation function characterizes the reflection in that it possesses a unique maximal solution which solves the Skorokhod reflection problem.

In connection to sensory evaluations of foods, chemical or physical measurements of the relevant sensory properties are often searched for. The data available for testing whether some such instrumental measurement is linearly related to a sensory variable usually stem from a factorial experiment rather than from some random sub-population. Thus, to calibrate the two variables properly and to te...

We study the so-called Skorokhod reflection problem (SRP) posed for real-valued functions defined on a partially ordered set (poset), when there are two boundaries, considered also to be functions of the poset. The problem is to constrain the function between the boundaries by adding and subtracting nonnegative nondecreasing (NN) functions in the most efficient way. We show existence and unique...

We consider the problem of defining the structure of a smoothmanifold on the various spaces of piecewise-smooth loops in a smooth finite dimensional manifold. We succeed for a particular type of piecewise-smooth loops. We also examine the action of the diffeomorphism group of the circle. It is not a useful action on the manifold that we define. We consider how one might fix this problem and con...

Acute myeloid leukaemia is defined by the expansion of a mutated haematopoietic stem cell clone, with the inhibition of surrounding normal clones. Haematopoiesis can be seen as an evolutionary tree, starting with one cell that undergoes several divisions during the expansion phase, afterwards losing functional cells during the aging-related contraction phase. During divisions, offspring cells a...

In this article we present a generalization of the concept of function of bounded variation, in the sense of Riesz, for functions defined on a rectangle in R, which take values in a Banach space. As applications, we obtain generalizations of some results due to Chistyakov and a counterpart of the classical Riesz’s Lemma.

Let C be a field of subsets of a set I. It is well known that the space FA of all the finitely additive games of bounded variation on C is the norm dual of the space of all simple functions on C. In this paper we prove that the space BV of all the games of bounded variation on C is the norm dual of the space of all simple games on C. This result is equivalent to the compactness of the unit ball...