A discrete analogue of the Laplace distribution

By S. Inusah, Tomasz J. Kozubowski. 2006

169 citations recorded by the source corpus.

Subfields: Global and Planetary Change, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/06879a7928000766be6521b21695ecab60cced8b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Global and Planetary Change

1. Ayman Alzaatreh
2. Felix Famoye
3. Carl Lee
4. S. Inusah
5. Hamid Bidram
6. Vahid Nekoukhou
7. Tomasz J. Kozubowski
8. Gauss Moutinho Cordeiro

In Statistical and Nonlinear Physics

1. Hamid Bidram
2. Vahid Nekoukhou
3. Tomasz J. Kozubowski
4. S. Inusah
5. Mikhail Belkin

In Statistics and Probability

1. Ayman Alzaatreh
2. Felix Famoye
3. Carl Lee
4. Hamid Bidram
5. Vahid Nekoukhou
6. Tomasz J. Kozubowski
7. S. Inusah
8. Mikhail Belkin

Citations in the corpus

• Crowd-ML: A Privacy-Preserving Learning Framework for a Crowd of Smart Devices (2015, background): “and has zeromean and constant variance 2e − e/2 (1−e− e/2)2 [41], the estimate of error rate converge almost surely to the true error rate with vanishing variances as T increases.”
• A Skew Laplace Distribution on Integers (2006, methodology): “In particular, as discussed in Inusah and Kozubowski (2006) , these distributions are of primary importance in analysis of uncertainty in hydroclimatic episodes such as droughts, floods, and El Ni˜ no (whose durations are often modeled by the geometric distribution).”
• Differentially private data aggregation with optimal utility (2014, methodology): “Additionally, we rely on the following mathematical results [19, 30] to compute the discrete Laplace distribution ( DLap ) by using the link between DLap , the geometric distribution ( Geo ), and the exponential distribution ( Exp ), which can be reduced to the uniform distribution on the interval…”
• On the discrete analogues of continuous distributions (2012, background): “Examples include the discrete normal distribution studied by Kemp [13] and the discrete Laplace distribution studied by Inusah and Kozubowski [9].”
• The exponentiated discrete Weibull Distribution (2015, background): “Inusah and Kozubowski (2006) and Kozubowski and Inusah (2006) introduced Laplace and skew-Laplace distributions on the lattice of integers, respectively.”
• Differentially Private Uniformly Most Powerful Tests for Binomial Data (2018, unknown): “Inusah and Kozubowski (2006)).”
• A Discrete Analog of the Generalized Exponential Distribution (2012, background): “More recently, Inusah and Kozubowski ( 2006 ) and Kozubowski and Inusah ( 2006 ) introduced Laplace and skew-Laplace distributions on the lattice of integers, respectively.”