Abstract
The study of multivariate distributions of order k was initiated by Philippou et al. [20], [21], who introduced and studied the multivariate negative binomial, Poisson, k-point, logarithmetic series and modified logarithmic series distributions of order k. These two papers generalized several results of Sibuya [24], Patil and Bildikar [13], Johnson, Kotz and Kemp [7], Philippou [15, [16], [17], Philippou et al. [22], Aki et al. [3], Aki [1] and Hirano and Aki [5] on multivariate distributions and distributions of order k.
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Tripsiannis, G.A., Philippou, A.N. (1998). A Multivariate Inverse Polya Distribution of Order k Arising in the Case of Overlapping Success Runs. In: Bergum, G.E., Philippou, A.N., Horadam, A.F. (eds) Applications of Fibonacci Numbers. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5020-0_47
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