The Distribution Theory of Runs
From MaRDI portal
Publication:5778061
DOI10.1214/aoms/1177731825zbMath0024.05301OpenAlexW2086440998WikidataQ93649928 ScholiaQ93649928MaRDI QIDQ5778061
Publication date: 1940
Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1214/aoms/1177731825
Related Items (80)
A New Similarity Measure and Its Use in Determining the Number of Clusters in a Multivariate Data Set ⋮ Reliability of systems subjects to shocks with a stochastic dependence of the damages ⋮ Distribution-Free Multisample Tests Based on Optimal Matchings With Applications to Single Cell Genomics ⋮ Allgemeiner Bericht über Monte-Carlo-Methoden ⋮ Joint distributions associated with patterns, successes and failures in a sequence of multi-state trials ⋮ Modeling time series of count with excess zeros and ones based on INAR(1) model with zero-and-one inflated Poisson innovations ⋮ Reliability computing method for generalized \(k\)-out-of-\(n\) system ⋮ On runs of ones defined on a \(q\)-sequence of binary trials ⋮ One-sample run tests of symmetry ⋮ A class of distribution-free tests for testing homogeneity against ordered alternatives ⋮ Weak runs in sequences of binary trials ⋮ Joint distributions of runs in a sequence of higher-order two-state Markov trials ⋮ Range reliability in random walks ⋮ Empirical likelihood test for equality of two distributions using distance of characteristic functions ⋮ Tables for three-sample test ⋮ Distributions of statistics describing concentration of runs in non homogeneous Markov-dependent trials ⋮ The \(m\)th longest runs of multivariate random sequences ⋮ The matrix handling of BLUE and BLUP in the mixed linear model ⋮ A discrete model for the segmentation of chains and strings ⋮ Joint distribution of rises, falls, and number of runs in random sequences ⋮ Explicit distributional results in pattern formation ⋮ Runs, scans and urn model distributions: A unified Markov chain approach ⋮ Discriminating membrane proteins using the joint distribution of length sums of success and failure runs ⋮ Extension of runs to the continuous-valued sequences ⋮ Non-parametric randomness tests based on success runs of fixed length ⋮ Multiple consecutive runs of multi-state trials: distributions of \(( k_1 , k_2 , \dots , k_\ell )\) patterns ⋮ Characterization of non-Gaussian geologic facies distribution using ensemble Kalman filter with probability weighted re-sampling ⋮ Higher order assortativity in complex networks ⋮ Markov binomial distribution of order \(k\) and its applications ⋮ Compound Poisson approximations for sums of 1-dependent random variables. I ⋮ Joint distribution of \(k\)-tuple statistics in zero-one sequences of Markov-dependent trials ⋮ An MCMC approach to classical estimation. ⋮ The asymptotic behavior of linear placement statistics ⋮ On the longest length of consecutive integers ⋮ On Negative Binomial Approximation to k-Runs ⋮ Joint distributions of numbers of runs of specified lengths on directed trees ⋮ On runs of length exceeding a threshold: normal approximation ⋮ Approximating the extreme right-hand tail probability for the distribution of the number of patterns in a sequence of multi-state trials ⋮ Divisible statistics ⋮ Unnamed Item ⋮ Sorting using complete subintervals and the maximum number of runs in a randomly evolving sequence ⋮ Joint distributions of numbers of runs of specified lengths in a sequence of Markov dependent multistate trials ⋮ Counting certain binary strings ⋮ On the conditional and unconditional distributions of the number of runs in a sample from a multisymbol alphabet ⋮ Number of appearances of events in random sequences: a new generating function approach to type II and type III runs ⋮ On rank statistics: An approach via metrics on the permutation group ⋮ Generalized runs tests for heteroscedastic time series ⋮ Moderate-Deviation-Based Inference for Random Degeneration in Paired Rank Lists ⋮ Spacing tests for the K-sample problem and random ordering ⋮ On success runs of length exceeded a threshold ⋮ On the distribution and expectation of success runs in nonhomogeneous Markov dependent trials ⋮ On success runs of a fixed length in Bernoulli sequences: exact and asymptotic results ⋮ Enumeration of sequences by levels and rises ⋮ Developments of the Markov chain approach within the distribution theory of runs. ⋮ On the joint distribution of runs in the sequence of Markov-dependent multi-state trials ⋮ On the distribution of runs of ones in binary strings ⋮ Runs in a Bivariate Sequence Over the First Coordinate ⋮ A test statistic for weighted runs ⋮ Success run statistics defined on an urn model ⋮ The problem of highly constrained tasks in group decision support systems ⋮ Decoupling combinatorial complexity: a two-step approach to distributions of runs ⋮ Patterns in Random Walks and Brownian Motion ⋮ Distributions of Runs and Scans on Higher-Order Markov Trees ⋮ Distributions of Runs Revisited ⋮ Minimum-area confidence sets for a normal distribution ⋮ Approximate probabilities for runs and patterns in i.i.d. and Markov-dependent multistate trials ⋮ Order statistics ⋮ A statistical approach to class separability ⋮ On the joint distribution of runs in a sequence of multi-state trials ⋮ Number of appearances of events in random sequences: A new approach to non-overlapping runs ⋮ Bivariate Markov chain embeddable variables of polynomial type ⋮ R-2 composition tests: a family of statistical randomness tests for a collection of binary sequences ⋮ On run statistics for binary trials ⋮ Runs in superpositions of renewal processes with applications to discrimination ⋮ Formulae and recursions for the joint distributions of success runs of several lengths in a two-state Markov chain ⋮ The exact and asymptotic distribution of overlapping success runs ⋮ Analysis of drawdowns and drawups in the US$ interest-rate market ⋮ Statistical outlier analysis in litigation support: The case of Paul F. Engler and Cactus Feeders, Inc., v. Oprah Winfrey et al ⋮ Joint distributions of numbers of success runs of specified lengths in linear and circular se\-quences ⋮ A generalized Pólya urn model and related multivariate distributions
This page was built for publication: The Distribution Theory of Runs