A probabilistic interpretation of Eulerian numbers
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Publication:1844669
DOI10.1215/S0012-7094-73-04065-9zbMath0284.05006MaRDI QIDQ1844669
Publication date: 1973
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Central limit and other weak theorems (60F05) Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)
Related Items (18)
A generalization of the Eulerian numbers with a probabilistic application ⋮ Central limit theorem for peaks of a random permutation in a fixed conjugacy class of \(S_n\) ⋮ Bounds on Normal Approximations for the number of Descents and Inversions ⋮ Martingales and descent statistics ⋮ The probability of Condorcet cycles and super majority rules ⋮ Limits of sums for binomial and Eulerian numbers and their associated distributions ⋮ On the distribution of the number of occurrences of an order-preserving pattern of length three in a random permutation ⋮ An analog of the prime number theorem for finite fields via truncated polylogarithm expansions ⋮ Exponential bounds for normal approximation of the number of descents and inversions ⋮ Asymptotic properties of \(B\)-splines, Eulerian numbers and cube slicing ⋮ THE ACHILLES' HEEL OF THE GSR SHUFFLE: A NOTE ON NEW AGE SOLITAIRE ⋮ Random permutations on a set with a binary relation ⋮ Spectral measure of large random Hankel, Markov and Toeplitz matrices ⋮ An asymptotic distribution theory for Eulerian recurrences with applications ⋮ Significance arithmetic: The probability of carrying ⋮ Estimating the Error of a Permutational Central Limit Theorem ⋮ On the exact distributions of Eulerian and Simon Newcomb numbers associated with random permutations ⋮ A central limit theorem for numbers satisfying a class of triangular arrays
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