ABSTRACT

Probability mass function, p(x) Mean, μ Variance, σ2

Coefficient of skewness, β1 Coefficient of kurtosis, β2 Moment-generating function, M(t) Characteristic function, φ(t) Probability-generating function, P(t)

p(x) = pxqx−1, x = 0, 10 ≤ p ≤ 1, q = 1− p, μ = p, σ2 = pq, β1 = 1− 2p√

pq , β2 = 3+ 1− 6pq

pq ,

M(t) = q+ pet , φ(t) = q+ peit , P(t) = q+ pt.