Donald Eugene Kemp Martin

Works (17)

Updated: July 5th, 2023 15:53

2022 article

Fitting sparse Markov models through a collapsed Gibbs sampler

Bennett, I., Martin, D. E. K., & Lahiri, S. N. (2022, December 15). COMPUTATIONAL STATISTICS.

By: I. Bennett  n, D. Martin n & S. Lahiri*

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: Markov chains; Model selection; Bayesian nonparametrics
Source: Web Of Science
Added: January 3, 2023

2020 journal article

Distributions of pattern statistics in sparse Markov models

Annals of the Institute of Statistical Mathematics, 72(4), 895–913.

By: D. Martin n

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: Auxiliary Markov chain; Pattern distribution; Sparse Markov model; Variable length Markov chain
Sources: Web Of Science, Crossref
Added: July 20, 2020

2019 journal article

Computation of exact probabilities associated with overlapping pattern occurrences

WILEY INTERDISCIPLINARY REVIEWS-COMPUTATIONAL STATISTICS, 11(5).

By: D. Martin n

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: Auxiliary Markov chain; distribution of a pattern statistic; Markovian sequences; sparse Markov models; VLMC
Source: Web Of Science
Added: August 26, 2019

2019 journal article

Minimal auxiliary Markov chains through sequential elimination of states

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 48(4), 1040–1054.

By: D. Martin n

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: completion strings; failure states; Markov chain embedding; minimal deterministic finite automaton; spaced seed coverage; structured motifs
Source: Web Of Science
Added: June 24, 2019

2017 journal article

Faster exact distributions of pattern statistics through sequential elimination of states

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 69(1), 231–248.

By: D. Martin n & L. Noe *

co-author countries: France πŸ‡«πŸ‡· United States of America πŸ‡ΊπŸ‡Έ
author keywords: Active proper suffix; Auxiliary Markov chain; Computational efficiency; Extended seed patterns; Minimal deterministic finite automaton; Overlapping pattern occurrences; Seeded alignments; Spaced seed coverage
Source: Web Of Science
Added: August 6, 2018

2015 journal article

Multiple window discrete scan statistic for higher-order Markovian sequences

JOURNAL OF APPLIED STATISTICS, 42(8), 1690–1705.

By: D. Coleman n, D. Martin n & B. Reich n 

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: variable windows; p-values; one-dimensional scan statistics; 60E05; 60J22
Sources: Web Of Science, ORCID
Added: August 6, 2018

2015 article

p-values for the Discrete Scan Statistic through Slack Variables

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, Vol. 44, pp. 2223–2239.

By: D. Martin n

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: Clustering of patterns; Higher order Markovian trials; Multi-state trials; One-dimensional scan statistic
Source: Web Of Science
Added: August 6, 2018

2014 journal article

A Coverage Criterion for Spaced Seeds and Its Applications to Support Vector Machine String Kernels and k-Mer Distances

JOURNAL OF COMPUTATIONAL BIOLOGY, 21(12), 947–963.

By: L. Noe * & D. Martin n

co-author countries: France πŸ‡«πŸ‡· United States of America πŸ‡ΊπŸ‡Έ
author keywords: spaced seeds; support vector machine; coverage; alignment-free distance
MeSH headings : Algorithms; Humans; Pattern Recognition, Automated; Sequence Alignment; Sequence Analysis, Protein; Sequence Homology, Amino Acid; Software; Support Vector Machine
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Distribution of Statistics of Hidden State Sequences Through the Sum-Product Algorithm

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 15(4), 897–918.

By: D. Martin n & J. Aston *

co-author countries: United Kingdom of Great Britain and Northern Ireland πŸ‡¬πŸ‡§ United States of America πŸ‡ΊπŸ‡Έ
author keywords: Automata theory; Classification; Conditional random field; Distribution of pattern statistics; Factor graph; Sum-product algorithm
Source: Web Of Science
Added: August 6, 2018

2012 journal article

Implied distributions in multiple change point problems

STATISTICS AND COMPUTING, 22(4), 981–993.

By: J. Aston *, J. Peng* & D. Martin n

co-author countries: United Kingdom of Great Britain and Northern Ireland πŸ‡¬πŸ‡§ Taiwan, Province of China πŸ‡ΉπŸ‡Ό United States of America πŸ‡ΊπŸ‡Έ
author keywords: Finite Markov chain imbedding; Hidden Markov models; Change point probability; Run length distributions; Generalised change points; Waiting time distributions
Source: Web Of Science
Added: August 6, 2018

2011 journal article

Distribution of Clump Statistics for a Collection of Words

Journal of Applied Probability, 48(04), 1049–1059.

By: D. Martin n & D. Coleman n

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
Source: Crossref
Added: August 14, 2021

2011 journal article

Distribution of clump statistics for a collection of words

Journal of Applied Probability, 48(4), 1049–1059.

By: D. Martin n & D. Coleman n

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
Source: NC State University Libraries
Added: August 6, 2018

2008 journal article

Application of auxiliary Markov chains to start-up demonstration tests

European Journal of Operational Research, 184(2), 574–583.

By: D. Martin*

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: higher-order Markovian sequence; runs; start-up reliability; supplementary variables
Source: Crossref
Added: August 14, 2021

2008 journal article

Waiting time distribution of generalized later patterns

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 52(11), 4879–4890.

By: D. Martina & J. Aston *

co-author countries: United Kingdom of Great Britain and Northern Ireland πŸ‡¬πŸ‡§ Taiwan, Province of China πŸ‡ΉπŸ‡Ό United States of America πŸ‡ΊπŸ‡Έ
Source: Web Of Science
Added: August 6, 2018

2007 journal article

DISTRIBUTIONS ASSOCIATED WITH GENERAL RUNS AND PATTERNS IN HIDDEN MARKOV MODELS

ANNALS OF APPLIED STATISTICS, 1(2), 585–611.

By: J. Aston & D. Martin*

author keywords: Competing patterns; CpG islands; finite Markov chain imbedding; generalized later patterns; higher-order hidden Markov models; sooner/later waiting time distributions
Source: Web Of Science
Added: August 6, 2018

2006 journal article

A recursive algorithm for computing the distribution of the number of successes in higher-order Markovian trials

Computational Statistics & Data Analysis, 50(3), 604–610.

By: D. Martin*

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: binary trials; Markovian sequences; probability
Source: Crossref
Added: August 14, 2021

2006 journal article

Hot-hand effects in sports and a recursive method of computing probabilities for streaks

Computers & Operations Research, 33(7), 1983–2001.

By: D. Martin*

co-author countries: United States of America πŸ‡ΊπŸ‡Έ
author keywords: binary trials; higher-order Markovian sequences; dependence; run probabilities; waiting-time distributions; hot hand; streaks; longest run
Source: Crossref
Added: August 14, 2021