We study the information that a distribution function provides about the finitely additive probability measure inducing it. We show that in general there is an infinite number of finitely additive probabilities associated with the same distribution function. Secondly, we investigate the relationship between a distribution function and its given sequence of moments. We provide formulae for the s...

In the first study, we tested the ability of a commercial feed additive (OmniGen-AF) to affect markers of innate immunity in immunosuppressed sheep and the ability of a pathogen challenge (mould) to affect the immune response to the additive. Treatments consisted of (1) control, (2) immunosuppressed with dexamethasone (DEX), (3) immunosuppressed plus the feed additive, (4) immunosuppressed plus...

An ordinal utility function u over two attributes A’, , A’, is additive if there exists a strictly monotonic function cp such that q(u) = v,(.Y,) + u2(x2) for some functions v,, v2. Here we consider the class of ordinal utility functions over n attributes for which each pair of attributes is additive, but not necessarily separable. for any fixed levels of the remaining attributes. We show that ...

This paper describes an estimator of the additive components of a nonparametric additive model with an unknown link function. When the additive components and link function are twice differentiable with sufficiently smooth second derivatives, the estimator is asymptotically normally distributed with a rate of convergence in probability of . This is true regardless of the (finite) dimension of t...

Bayesian Optimisation (BO) is a technique used in optimising a D-dimensional function which is typically expensive to evaluate. While there have been many successes for BO in low dimensions, scaling it to high dimensions has been notoriously difficult. Existing literature on the topic are under very restrictive settings. In this paper, we identify two key challenges in this endeavour. We tackle...

the data set employed in this study was comprised of a number of 6,800 records of lamb’s longevity and their survival rate, collected from 1989 through 2009, from the lori-bakhtiari experimental flock at the shooli station in shahrekord, iran. the data were analyzed using linear models and proportional hazard models with weibull function. these models included fixed factors and direct additive ...

nowadays multicriteria decision making (mcdm) methods are a useful tool for investigating natural resources and toaddress problems related to hydro systems. the goal of this research was to assess the daliri standardization method(dsm) to prioritize and make selections for application to mcdm. and to compare the dsm method with the utilityadditive (uta) method. the (dsm) method, unlike the (uta...

A central limit theorem is established for additive functions of a Markov chain that can be constructed as an iterated random function. The result goes beyond earlier work by relaxing the continuity conditions imposed on the additive function, and by relaxing moment conditions related to the random function. It is illustrated by an application to a Markov chain related to fractals.

In this paper, we study monotone set functions defined as the composition of an additive measure with a strictly increasing function. This function is unary operator in continuous-valued logic, called tau function, and it generator function-based parametric mapping. We provide necessary sufficient condition for equality two that are induced by different functions. Using its properties, introduc...