Discrete Pareto Distributions
-
Amrutha Buddana
and
Tomasz J. Kozubowski
Abstract
We review several common discretization schemes and study a particular class of power-tail probability distributions on integers, obtained by discretizing continuous Pareto II (Lomax) distribution through one of them. Our results include expressions for the density and cumulative distribution functions, probability generating function, moments and related parameters, stability and divisibility properties, stochastic representations, and limiting distributions of random sums with discrete-Pareto number of terms. We also briefly discuss issues of simulation and estimation and extensions to multivariate setting.
Funding source: European Union's Seventh Framework Programme for research, technological development and demonstration
Award Identifier / Grant number: 318984 – RARE
© 2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Proceedings of Flint International Statistics Conference Kettering University, June 24–28, 2014
- Urban Planning for Change: Data and Projections in City of Flint Master Plans (1920, 1960 & 2013)
- More Equal and Poorer, or Richer but More Unequal?
- How We Can Evaluate the Inequality in Flint
- Comparing Data Envelopment Analysis and Human Decision Making Unit Rankings: A Survey Approach
- Discrete Pareto Distributions
- Leverage Effect for Volatility with Generalized Laplace Error
Articles in the same Issue
- Frontmatter
- Proceedings of Flint International Statistics Conference Kettering University, June 24–28, 2014
- Urban Planning for Change: Data and Projections in City of Flint Master Plans (1920, 1960 & 2013)
- More Equal and Poorer, or Richer but More Unequal?
- How We Can Evaluate the Inequality in Flint
- Comparing Data Envelopment Analysis and Human Decision Making Unit Rankings: A Survey Approach
- Discrete Pareto Distributions
- Leverage Effect for Volatility with Generalized Laplace Error
