Results 41 to 50 of about 90 (88)
© Hindawi Publishing Corp. EXTENDED FIBONACCI NUMBERS AND POLYNOMIALS WITH PROBABILITY APPLICATIONS [PDF]
, 2004 The extended Fibonacci sequence of numbers and polynomials is introduced and studied. The generating function, recurrence relations, an expansion in terms of multinomial coefficients, and several properties of the extended Fibonacci numbers and ...
Demetrios L. Antzoulakos
core
On a generalization of derangement polynomials and numbers
Demonstratio MathematicaIn T. Kim, D. S. Kim, and D. V. Dolgy, Probabilistic derangement numbers and polynomials, Math. Comput. Model. Dyn. Syst. 31 (2025), no. 1, 2529188, Kim-Kim defined the probabilistic derangement polynomials and numbers and found some properties of those ...
Yun Sang Jo, Park Jin-Woo
doaj +1 more source
© Hindawi Publishing Corp. A ZERO-INFLATED OCCUPANCY DISTRIBUTION: EXACT RESULTS AND POISSON CONVERGENCE [PDF]
, 2002 We introduce the generalized zero-inflated allocation scheme of placing n labeled balls into N labeled cells. We study the asymptotic behavior of the number of empty cells when (n,N) belongs to the “right ” and “left ” domain of attraction.
Ljuben Mutafchiev, Nikolai Kolev
core
Towards a Theory of Negative Dependence [PDF]
, 1999 : The FKG theorem says that the POSITIVE LATTICE CONDITION, an easily checkable hypothesis which holds for many natural families of events, implies POSITIVE ASSOCIATION, a very useful property.
Robin Pemantle
core
The Pills problem revisited [PDF]
, 2004 We revisit the pills problem proposed by Knuth and McCarthy. In a bottle there are m large pills and n small pills. The large pill is equivalent to two small pills. Every day a person chooses a pill at random.
Prodinger, Helmut +1 more
core
Hydrodynamic Scaling, Convex Duality, and Asymptotic Shapes of Growth Models [PDF]
, 1996 . We present a technique for simultaneously deriving two related results: Hydrodynamic scaling limits for one-dimensional asymmetric particle systems and asymptotic shapes for growth models.
Timo Seppäläinen
core
Beat the dealer in Holland Casino's Black Jack [PDF]
Gambling;68U20;93E05;Black Jack ...
Genugten, B.B. van der
core +1 more source
Technical Report: A solution of Sylvester-like problems for convex quadrilaterals [PDF]
, 2008 The probability pn that n points, uniformly and independently distributed within a con-vex planar body K, have a triangular convex hull is known (at least for some values of n> = 3) when K is either a triangle, an ellipse, a parallelogram or a regular
core
Monotonic Subsequences in Dimensions Higher Than One [PDF]
, 1996 The 1935 result of Erdos and Szekeres that any sequence of n 2 +1 real numbers contains a monotonic subsequence of n + 1 terms has stimulated extensive further research, including a paper of J. B. Kruskal that defined an extension of monotonicity for
A. M. Odlyzko, J. B. Shearer, R. Siders
core
On the First Entrance Time Distribution of the M/D/i Queue: A Combinatorial Approach [PDF]
AMS classifications: 60C05; 60K25; 90B06; 90B22M/D/1;delivery;first entrance times;lattice path ...
Jansen, J.B.
core +1 more source