Some Aspects of the Random Sequence

DOI10.1214/aoms/1177700286zbMath0128.13001OpenAlexW2005740369MaRDI QIDQ5335728

Colin L. Mallows, D. E. Barton

Publication date: 1965

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177700286

zbMATH Keywords

probability theory

Related Items

Normal approximations for descents and inversions of permutations of multisets, On some results of Takacs in ballot problems, Theory and Application of Plane Partitions. Part 2, A process of runs and its convergence to the Brownian motion, The number of dense arrangements, Eulerian numbers, Newcomb's problem and representations of symmetric groups, Partial difference equations in \(m_1\geq m_2\geq \dots \geq m_n\geq 0\) and their applications to combinatorics, De Finetti lattices and magog triangles, Tauberian theorems for Jakimovski and Karamata‐Stirling methods, The Series Method for Random Variate Generation and Its Application to the Kolmogorov-Smirnov Distribution, Models for the logarithmic species abundance distributions, Lattice path counting and the theory of queues, A history and a survey of lattice path enumeration, Paths in ordered structures of partitions, Monotonic subsequences in random sequences, Corrected discrete approximations for the conditional and unconditional distributions of the continuous scan statistic, An asymptotic distribution theory for Eulerian recurrences with applications, Distribution of the minimum number of points in a scanning interval on the line, A market problem, The cycle lemma and some applications, On an inclusion-exclusion formula based on the reflection principle, Estimating the Error of a Permutational Central Limit Theorem, Andre's reflection proof generalized to the many-candidate ballot problem, Generating 2-Gray codes for ballot sequences in constant amortized time, Enumerating pairs of permutations with the same up-down form, Asymptotic results on the maximal deviation of simple random walks, A new method for solving a class of ballot problems, Weighted inversion numbers, restricted growth functions, and standard Young tableaux, The numerical calculation ofU(w, t), the probability of non-ruin in an interval (0,t)