Distribution of the Sum of Truncated Binomial Variates
Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 334-336

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Let X be a random variable defined by a Bernoullian probability function (1) The probability function of the restricted random variable which is truncated away from zero is then (2) The divisor 1 - qN arises from the condition excluding zero.
Malik, Henrick John. Distribution of the Sum of Truncated Binomial Variates. Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 334-336. doi: 10.4153/CMB-1969-042-6
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     author = {Malik, Henrick John},
     title = {Distribution of the {Sum} of {Truncated} {Binomial} {Variates}},
     journal = {Canadian mathematical bulletin},
     pages = {334--336},
     year = {1969},
     volume = {12},
     number = {3},
     doi = {10.4153/CMB-1969-042-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-042-6/}
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