
- 200 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Lattice Path Counting and Applications
About this book
Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Lattice Path Counting and Applications focuses on the principles, methodologies, and approaches involved in lattice path counting and applications, including vector representation, random walks, and rank order statistics. The book first underscores the simple and general boundaries of path counting. Topics include types of diagonal steps and a correspondence, paths within general boundaries, higher dimensional paths, vector representation, compositions, and domination, recurrence and generating function method, and reflection principle. The text then examines invariance and fluctuation and random walk and rank order statistics. Discussions focus on random walks, rank order statistics, Chung-Feller theorems, and Sparre Andersen's equivalence. The manuscript takes a look at convolution identities and inverse relations and discrete distributions, queues, trees, and search codes, as well as discrete distributions and a correlated random walk, trees and search codes, convolution identities, and orthogonal relations and inversion formulas. The text is a valuable reference for mathematicians and researchers interested in in lattice path counting and applications.
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Yes, you can access Lattice Path Counting and Applications by Gopal Mohanty, Z. W. Birnbaum,E. Lukacs in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Front Cover
- Lattice Path Counting and Applications
- Copyright Page
- Table of Contents
- Dedication
- Preface
- Acknowledgments
- Chapter 1. Path CountingāSimple Boundaries
- Chapter 2. Path CountingāGeneral Boundaries
- Chapter 3. Invariance and Fluctuation
- Chapter 4. Random Walk and Rank Order Statistics
- Chapter 5. Discrete Distributions, Queues, Trees, and Search Codes
- Chapter 6. Convolution Identities and Inverse Relations
- Index
- Probability and Mathematical Statistics