# Generating discrete analogues of continuous probability distributions-A survey of methods and constructions

@article{Chakraborty2015GeneratingDA, title={Generating discrete analogues of continuous probability distributions-A survey of methods and constructions}, author={Subrata Chakraborty}, journal={Journal of Statistical Distributions and Applications}, year={2015}, volume={2}, pages={1-30} }

In this paper a comprehensive survey of the different methods of generating discrete probability distributions as analogues of continuous probability distributions is presented along with their applications in construction of new discrete distributions. The methods are classified based on different criterion of discretization.

## 72 Citations

A New Method for Generating Discrete Analogues of Continuous Distributions

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The methods of generate a probability function from a probability density function has long been used in recent years. In general, the discretization process produces probability functions that can…

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- Computer Science, MathematicsREVISTA BRASILEIRA DE BIOMETRIA
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Using the discretization method based on the survival function, a discreteanalogue of power Lindley distribution is introduced and the maximum likelihood theory is considered for estimation and asymptotic inference concerns.

On the Discretization of Continuous Probability Distributions Using a Probabilistic Rounding Mechanism

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This work proposes a new framework to provide an exact and flexible alternative for modeling and simulating count data with various types of dispersion, and develops a family of balanced discrete gamma distributions that can model equi-, under-, and over-dispersed count data.

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ABSTRACT In this article, we derive a new generalized geometric distribution through a weight function, which can also be viewed as a discrete analog of weighted exponential distribution introduced…

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