English

Statistical Yield Modeling for IC Manufacture: Hierarchical Fault Distributions

Data Analysis, Statistics and Probability 2007-05-23 v1 Statistical Mechanics

Abstract

A hierarchical approach to the construction of compound distributions for process-induced faults in IC manufacture is proposed. Within this framework, the negative binomial distribution and the compound binomial distribution are treated as level-1 models. The hierarchical approach to fault distribution offers an integrated picture of how fault density varies from region to region within a wafer, from wafer to wafer within a batch, and so on. A theory of compound-distribution hierarchies is developed by means of generating functions. With respect to applications, hierarchies of yield means and yield probability-density functions are considered and an in-process measure of yield loss is introduced. It is shown that the hierarchical approach naturally embraces the Bayesian approach.

Keywords

Cite

@article{arxiv.physics/0303039,
  title  = {Statistical Yield Modeling for IC Manufacture: Hierarchical Fault Distributions},
  author = {Yu. I. Bogdanov and N. A. Bogdanova and V. L. Dshkhunyan},
  journal= {arXiv preprint arXiv:physics/0303039},
  year   = {2007}
}

Comments

OAO Angstrem, Moscow Institute of Electronic Engineering (Technical University), Moscow, Russia, 19 pages, 2 figures

R2 v1 2026-07-22T18:55:39.572Z