On run statistics for binary trials

DOI10.1016/S0378-3758(99)00191-3zbMath0969.62015OpenAlexW2075578223WikidataQ127226815 ScholiaQ127226815MaRDI QIDQ1577321

Valeri T. Stefanov

Publication date: 4 October 2001

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(99)00191-3

zbMATH Keywords

Markov chainBernoulli trialsrunexponential family of stochastic processes

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Inference from stochastic processes (62M99)

Related Items (3)

On the mean and extreme distances between failures in Markovian binary sequences ⋮ On the distribution and expectation of success runs in nonhomogeneous Markov dependent trials ⋮ On the distribution of runs of ones in binary strings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exponential families of stochastic processes
• Explicit distributional results in pattern formation
• Efficient sequential estimation in exponential-type processes
• Explicit limit results for minimal sufficient statistics and maximum likelihood estimators in some Markov processes: Exponential families approach
• Conditionality resolutions
• Distribution Theory of Runs: A Markov Chain Approach
• On Runs and Longest Run Tests: A Method of Finite Markov Chain Imbedding
• Limit theorems for the number of occurrences of consecutive k successes in n Markovian trials
• The Distribution Theory of Runs
• A Generalization of Poisson's Distribution for Markoff Chains
• The Covariance Matrix of Runs Up and Down
• Asymptotic Distribution of Runs Up and Down

This page was built for publication: On run statistics for binary trials