On Nearest Neighbor Degeneracies of Indistinguishable Particles.
Abstract
Arrangement degeneracies suggested by sufficient statistics associated with binary stationary m'th order Markov chains are discussed, and are shown to correspond and generalize some degeneracies arising when indistinguishable particles are placed on a one-dimensional lattice with n compartments. From these statistics it is possible to define an m-th order unit. The arrangement degeneracy obtained from s 1's and n-s O's so that lower order units are placed in higher order units is solved. However, the most general arrangement degeneracy associated with all the sufficient statistics of a given order is difficult. For this case only the 3rd order arrangement degeneracy is obtained, the 1st and 2nd orders being relatively simple. These results are applied in determining the asymptotic distributions of rare events. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1980
- Accession Number
- ADA088247
Entities
People
- Benjamin Kedem
Organizations
- University of Maryland