On Runs and Longest Run Tests: A Method of Finite Markov Chain Imbedding

DOI10.2307/2291585zbMath0881.62086OpenAlexW4244870744MaRDI QIDQ4366104

W. Y. Wendy Lou

Publication date: 22 February 1998

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2291585

zbMATH Keywords

transition probability matrixBernoulli trialsbinary longitudinal dataasthmatics

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Markov processes: hypothesis testing (62M02) Probabilistic methods, stochastic differential equations (65C99)

Related Items (31)

Generalized run tests for statistical process control ⋮ Some results associated with the longest run statistic in a sequence of Markov dependent trials ⋮ An application of the method of finite Markov chain imbedding to runs tests ⋮ On exact type I and type II errors of Cochran's test ⋮ Recursive equations in finite Markov chain imbedding ⋮ Monitoring phase II comparative clinical trials with two endpoints and penalty for adverse events ⋮ The \(m\)th longest runs of multivariate random sequences ⋮ Estimating the distribution of one-dimensional discrete scan statistics viewed as extremes of 1-dependent stationary sequences ⋮ Non-parametric randomness tests based on success runs of fixed length ⋮ Some results associated with the longest run in a strongly ergodic Markov chain ⋮ On distribution of the number of peaks and the Euler numbers of permutations ⋮ The distribution of extended discrete random sums and its application to waiting time distributions ⋮ Chess, chance and conspiracy ⋮ On the tail probability of the longest well-matching run. ⋮ On the length of the longest run in a multi-state Markov chain. ⋮ Shortest and longest length of success runs in binary sequences ⋮ Distribution of the length of the longest common subsequence of two multi-state biological sequences ⋮ Confidence bands for the CDF when sampling from a finite population ⋮ On the distribution and expectation of success runs in nonhomogeneous Markov dependent trials ⋮ A test statistic for weighted runs ⋮ Waiting time distributions of simple and compound patterns in a sequence of \(r\)th order Markov dependent multi-state trials ⋮ On exact and large deviation approximation for the distribution of the longest run in a sequence of two-state Markov dependent trials ⋮ Pattern Markov Chains: Optimal Markov Chain Embedding Through Deterministic Finite Automata ⋮ The exact distribution of the \(k\)-tuple statistic for sequence homology ⋮ Conditional waiting time distributions of runs and patterns and their applications ⋮ On ordered series and later waiting time distributions in a sequence of Markov dependent multistate trials ⋮ On the exact distributions of Eulerian and Simon Newcomb numbers associated with random permutations ⋮ The exact distribution of the continuity of care measure NOP ⋮ On run statistics for binary trials ⋮ Run Statistics Defined on the Multicolor URN Model ⋮ The distribution of increasing \(l\)-sequences in random permutations: A Markov chain approach

This page was built for publication: On Runs and Longest Run Tests: A Method of Finite Markov Chain Imbedding