2017/05/20 by Alexandra Shyklo, A Shyklo, Shyklo, A
Biochemistry, Genetics and Molecular Biology · Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Computer and information sciences #FOS: Physical sciences #Fractal and DNA sequence analysis #Other Statistics (stat.OT) #Physics and Society (physics.soc-ph) #Random Matrices and Applications #physics.soc-ph #stat.OT
paper · pdf · doi:10.48550/arxiv.1705.07890
16 pages
arxiv created 2017/05/20 · openalex publication_date 2017/05/20 · arxiv updated 2017/05/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This work proves that ranks and shares are statistically dependent on one another, based on simple combinatorics. It presents a formula for rank-share distribution and illustrates that Zipfs law, is descended from expected values of various ranks in the new distribution. All conclusions, formulas and charts presented here were tested against publicly available statistical data in different areas. The correlation coefficient between the calculated values and statistical numbers provided by Bureau of Labor Statistics was 0.99899. Monte-Carlo simulations were performed as additional evidence.