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Closed Form Summation for Classical Distributions: Variations on Theme of De Moivre
Binomial distribution Stirling's formula his- tory of probability Pearson curves Stein's identity mean absolute deviation.
2015/7/14
De Moivre gave a simple closed form expression for the mean
absolute deviation of the binomial distribution. Later authors showed
that similar closed form expressions hold for many of the other cl...
The total embedding distributions of a graph is consisted of the orientable embeddings and non- orientable embeddings and have been know for few classes of graphs. The genus distribution of Ringel la...
Special 2-flags in lengths not exceeding four: a study in strong nilpotency of distributions
strong nilpotency distributions
2010/11/12
In the recent years, a number of issues concerning distributions generating 1- flags (called also Goursat flags) has been analyzed. Presently similar questions are discussed as regards distributions ...
Partial transposition of random states and non-centered semicircular distributions
non-centered semicircular distributions math
2010/11/8
Let W be a Wishart random matrix of size d^2 times d^2, considered as a block matrix with d times d blocks. Let Y be the matrix obtained by transposing each block of W. We prove that the empirical ei...
Spectral distributions of adjacency and Laplacian matrices of random graphs
Spectral distributions Laplacian matrices random graphs
2010/11/18
In this paper, we investigate the spectral properties of the adjacency and the Laplacian matrices of random graphs. We prove that: (i) the law of large numbers for the spectral norms and the largest ...
Second order subexponential distributions with finite mean and their applications to subordinated distributions
Second order subexponential distributions subordinated distributions
2010/11/22
Consider a probability distribution subordinate to a subexponential distribution with finite mean. In this paper, we discuss the second order tail behavior of the subordinated distribution within a r...
Continuation of Direct Products of Distributions.
q-probability: I. Basic discrete distributions
q-probability I. Basic discrete distributions
2010/11/1
For basic discrete probability distributions, $-$ Bernoulli, Pascal, Poisson, hypergeometric, contagious, and uniform, $-$ $q$-analogs are proposed.