Joint distribution of rises and falls

DOI10.1023/A:1004148814661zbMath0980.62010OpenAlexW1999456916MaRDI QIDQ5926199

James C. Fu, W. Y. Wendy Lou

Publication date: 6 March 2002

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004148814661

zbMATH Keywords

finite Markov chain imbeddingSimon Newcomb numberstransition probability matrix

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Characterization and structure theory of statistical distributions (62E10)

Related Items (7)

Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials ⋮ Joint distribution of rises, falls, and number of runs in random sequences ⋮ On the distribution of the number of occurrences of an order-preserving pattern of length three in a random permutation ⋮ Random permutations and unique fully supported ergodicity for the Euler adic transformation ⋮ Вычисление распределения одной комбинаторной статистики, заданной на последовательностях с фиксированным составом знаков ⋮ Reliabilities for (n, f, k (i, j)) and ⟨n, f, k (i, j)⟩ Systems ⋮ The distribution of increasing 2-sequences in random permutations of arbitrary multi-sets.

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