The Discrete Normal Distribution

By D. Roy. 2003

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A discrete inverse Weibull distribution and estimation of its parameters (2010, methodology): “The discrete versions of the normal and Rayleigh distributions were also proposed by Roy [18,19] respectively.”
DISCRETE INVERSE RAYLEIGH DISTRIBUTION (2014, background): “N  with survival function     r S x P X x  (see Nakagawa and Osaki (1975), Roy (2003, 2004), Krishna and Pundir (2007, 2009), Gómez-Déniz and Calderín- Ojeda (2011), Chakaraborty and Chakravarty (2012), Hussain and Ahmad (2012) and Al-Huniti and Al-Dayian (2012)) and if support of continuous…”
A new discrete probability distribution with integer support on (−∞, ∞) (2016, background): “…here we consider four other discrete distribution with support in Z namely the discrete Laplace (Inusah and Kozubowski, 2006), discrete normal of Kemp (1997), discrete normal of Roy (2003), and Skellam distribution (Skellam, 1946) which historically is the first discrete distribution in Z.”
On the discrete analogues of continuous distributions (2012, methodology): “Subsequently, Roy [24,25] proposed a method from reliability perspective to discretize continuous distributions and studied discrete analogues of Rayleigh and normal distributions.”
The exponentiated discrete Weibull Distribution (2015, background): “Roy (2003) introduced another discrete analog of normal distribution.”