A multiattribute utility function can be represented by a function of single-attribute utility functions if the decision maker’s preference satisfies additive independence or mutually utility independence. Additive independence is a preference condition stronger than mutually utility independence, and the multiattribute utility function is in the additive form if the former condition is satisfi...

1 . An arithmetic function f(n) is said to be additive if it satisfies the relation f(ob) = f(a)+f(b) for every pair of coprime positive integers a, b . In this paper we establish two results to the effect that an additive function which is not too large on many integers cannot often be large on the primes . If a l <a,< . . . is a sequence of positive integers, let A(x) denote ttie number of su...

Additive model has been widely recognized as an effective tool for dimension reduction. Existing methods for estimation of additive regression function, including backfitting, marginal integration, projection and spline methods, do not provide any level of uniform confidence. In this paper we propose a simple construction of confidence band for the additive regression function which is based on...

Let N0 denote the set of all non-negative integers and P(N0) be its power set. An integer additive set-labeling (IASL) of a graph G is an injective function f : V (G) → P(N0) such that the induced function f : E(G)→ P(N0) is defined by f(uv) = f(u)+f(v), where f(u)+f(v) is the sumset of f(u) and f(v). An IASL f is said to be an integer additive set-indexer (IASI) if the associated edge-function...

The well known waterrlling power allocation policy maximizes the sum capacity of parallel Gaussian channels. We consider multiaccess vector channels with additive colored Gaussian noise and asymmetric user power constraints and completely characterize the sum capacity of this channel. We show that the sum capacity of the multiaccess vector channel is upper bounded by that of corresponding paral...