Elements of Statistical Reasoning.

Elements of Statistical SPICE Models

We discuss several elements of statistical SPICE models and present our solutions. We present (i) a solution of automatically detecting Monte Carlo vs. skewed simulations, (ii) a method of modeling an arbitrarily given asymmetric or symmetric distribution, (iii) a hierarchical structure of the skewing parameters of many process/device statistical distributions for skewed simulations, (iv) a tec...

Elements of Nonequilibrium Statistical Mechanics

Comparative study of Symbolic Reasoning and Statistical Reasoning

This paper examines reasoning under certainty by symbolic and statistical methods and the comparison between these two methods. Basically reasoning is a process of logically arguing and drawing inference. For reasoning, the system must find out what it needs to know from what it already knows. In this paper we review symbolic reasoning and different methods of statistical reasoning like probabi...

Possibility theory and statistical reasoning

Numerical possibility distributions can encode special convex families of probability measures. The connection between possibility theory and probability theory is potentially fruitful in the scope of statistical reasoning when uncertainty due to variability of observations should be distinguished from uncertainty due to incomplete information. This paper proposes an overview of numerical possi...

Statistical Foundations for Default Reasoning

We describe a new approach to default reason ing based on a principle of indi erence among possible worlds We interpret default rules as extreme statistical statements thus obtaining a knowledge base KB comprised of statistical and rst order statements We then assign equal probability to all worlds consistent with KB in order to assign a degree of belief to a statement The degree of belief can ...