Allan Gut
Professor emeritus at Department of Mathematics; Academic staff
- E-mail:
- Allan.Gut@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 480
751 06 UPPSALA
Download contact information for Allan Gut at Department of Mathematics; Academic staff
Professor emeritus at Department of Mathematics; Statistics, AI and Data Science
- E-mail:
- allan.gut@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 480
751 06 UPPSALA
Publications
Recent publications
The elephant random walk with gradually increasing memory
Part of Statistics and Probability Letters, 2022
Elephant random walks with delays
Part of REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, p. 51-66, 2022
The number of zeros in Elephant random walks with delays
Part of Statistics and Probability Letters, 2021
Variations of the elephant random walk
Part of Journal of Applied Probability, p. 805-829, 2021
An Asymmetric St. Petersburg Game With Trimming
Part of Advances in Applied Probability, p. 115-129, 2018
All publications
Articles in journal
The elephant random walk with gradually increasing memory
Part of Statistics and Probability Letters, 2022
Elephant random walks with delays
Part of REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, p. 51-66, 2022
The number of zeros in Elephant random walks with delays
Part of Statistics and Probability Letters, 2021
Variations of the elephant random walk
Part of Journal of Applied Probability, p. 805-829, 2021
An Asymmetric St. Petersburg Game With Trimming
Part of Advances in Applied Probability, p. 115-129, 2018
Complete convergence for arrays and the law of the single logarithm
Part of Bulletin of the Australian Mathematical Society, p. 333-344, 2017
Limit theorems for counting variables based on records and extremes
Part of Extremes, p. 33-52, 2017
- DOI for Limit theorems for counting variables based on records and extremes
- Download full text (pdf) of Limit theorems for counting variables based on records and extremes
Strong laws for sequences in the vicinity of the LIL
Part of Statistics and Probability Letters, p. 63-72, 2017
Part of Sequential Analysis, p. 290-298, 2017
Almost sure limit behavior of Cesàro sums with small order
Part of Acta Mathematica Hungarica, p. 510-530, 2017
A Maxtrimmed St. Petersburg Game
Part of Journal of theoretical probability, p. 277-291, 2016
Extreme-trimmed St. Petersburg games
Part of Statistics and Probability Letters, p. 341-345, 2015
On convergence of randomly indexed sequences; a counterexample based on the St. Petersburg game
Part of Statistics and Probability Letters, p. 105-107, 2014
Some Remarks on Distributed Sensing with Costs
Part of Probability in the engineering and informational sciences (Print), p. 271-277, 2014
Precise asymptotics: A general approach
Part of Acta Mathematica Hungarica, p. 365-385, 2013
Records in subsets of a random field
Part of Statistics and Probability Letters, p. 689-699, 2013
The gambler's ruin problem with delays
Part of Statistics and Probability Letters, p. 2549-2552, 2013
Anscombe's Theorem 60 Years Later
Part of Sequential Analysis, p. 368-396, 2012
On the Hsu-Robbins-Erdős-Spitzer-Baum-Katz theorem for random fields
Part of Journal of Mathematical Analysis and Applications, p. 447-463, 2012
Convergence rates in precise asymptotics
Part of Journal of Mathematical Analysis and Applications, p. 1-14, 2012
Part of Journal of theoretical probability, p. 422-449, 2011
An intermediate Baum-Katz theorem
Part of Statistics and Probability Letters, p. 1486-1492, 2011
Part of Statistics and Probability Letters, p. 1292-1299, 2011
On the strong law of large numbers for delayed sums and random fields
Part of Acta Mathematica Hungarica, p. 182-203, 2010
Limit theorems for a generalized St Petersburg game
Part of Journal of Applied Probability, p. 752-760, 2010
On asymptotic and strict monotonicity of a sharper lower bound for Student's t percentiles
Part of Methodology and Computing in Applied Probability, p. 647-657, 2010
Cesàro summation for random fields
Part of Journal of theoretical probability, p. 715-728, 2010
Part of Bernoulli, p. 1-22, 2010
Asymptotics for increments of stopped renewal processes
Part of Statistics and Probability Letters, p. 558-565, 2010
An asymmetric Marcinkiewicz-Zygmund LLN for random fields
Part of Statistics and Probability Letters, p. 1016-1020, 2009
Truncated sequential change-point detection based on renewal counting processes II
Part of Journal of Statistical Planning and Inference, p. 1921-1936, 2009
Laws of the single logarithm for delayed sums of random fields
Part of Bernoulli, p. 249-276, 2008
Laws of the single logarithm for delayed sums of random fields II
Part of Journal of Mathematical Analysis and Applications, p. 403-414, 2008
Realistic variation of shock models
Part of Statistics and Probability Letters, p. 187-204, 2005
EWMA charts for detecting a change-point in the drift of a stochastic process
Part of Sequential Anal, p. 195-237, 2004
Part of J. Theoret. Probab., p. 769-779, 2004
Part of Bulletin of Mathematical Biology, p. 171-185, 1987
Books
An Intermediate Course in Probability
Springer, 2009
Probability: A graduate course (2nd Corr printing)
Springer-Verlag, 2007
Norstedts förlag, Stockholm, 2007
Probability: A Graduate Course
Springer-Verlag, New York, 2005
PAN pocket, 2004
Conference papers
Part of Jubileumsskrift Arne Beurling 100 år, 2007
Sant eller sannolikt i vardagslivet
Part of Konferanserapport: Popularisering av matematikk, November 15-18, 2003, Trondheim, p. 59-68, 2004
Part of Proceedings of the International Conference on Asymptotic Methods in Stochastics, May 23-25, 2002,, 2004
Reports
Precise asymptotics: a general approach
2011
Convergence rates in precise asymptotics
2011
On the Hsu-Robbins-Erdős-Spitzer-Baum-Katz theorem for random fields
2011
An intermediate Baum-Katz theorem
2011
Convergence rates in precise asymptotics II
2011
Anscombe’s theorem 60 years later
2011
Strong limit theorems for random fields
2011
2010
Asymptotics for Increments of Stopped Renewal Processes
2009
2009
2009
On the strong law of large numbers fordelayed sums and random fields
2009
Limit theorems for a generalized St. Petersburg game
2009
Laws of the single logarithm for delayed sums of random fields II
2008
Truncated sequential change-point detection based on renewal counting processes II
2008
2008
On Asymptotic and Strict Monotonicity of a Sharper Lower Bound for Student’s t Percentiles
2008
Cesàro summation for random fields
2008
An asymmetric Marcinkiewicz-Zygmund LLN for random fields
2008
Some remarks on the Riemann zeta distribution
2005
Gnedenko-Raikov's theorem, central limit theory, and the weak law of large numbers
2005
A two-step sequential procedure for detecting an epidemic change
2005
An extension of Feller's weak law of large numbers
2003
EWMA charts for a sequential change detection in the drift of a stochastic process
2003
Realistic variation of shock models
2003