q-geometric and q-binomial distributions of order k

• Autores: Femin Yalcin, Serkan Eryilmaz
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 271, Nº 1, 2014, págs. 31-38
• Idioma: inglés
• DOI: 10.1016/j.cam.2014.03.025
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• Resumen

  • In this paper, we generalize geometric and binomial distributions of order k to q-geometric and q-binomial distributions of order k using Bernoulli trials with a geometrically varying success probability. In particular, we derive expressions for the probability mass functions of these distributions. For q = 1, these distributions reduce to geometric and binomial distributions of order k which have been extensively studied in the literature.