Published September 15, 2023
| Version v1
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On Estimation of the Discerete Pareto Distribution
Authors/Creators
- 1. Department of Mathematics and Statistics, Brock University, St. Catharines, Ontario, Canada L2S 3A1++++arion
- 2. Department of Mathematics, Niagara College, Welland, Ontario, Canada, L3C 7L3
Description
The discrete Pareto distribution is a power-law distribution that is related to vertex degree distributions in random sparse networks and other applications. Since the discrete Pareto distribution is related to the Riemann zeta function, there are some mathematical difficulties in studies of the discrete Pareto distribution. The properties of the discrete Pareto distribution are investigated in this paper. We discuss several methods for estimating the tail index parameter. Monte Carlo simulations are used to search for more efficient estimators. Finally, a real-world application of networks is provided.
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