Allan Gut

The elephant random walk with gradually increasing memory

Gut, Allan; Stadtmuller, Ulrich

Part of Statistics and Probability Letters, 2022

• DOI for The elephant random walk with gradually increasing memory

Elephant random walks with delays

Gut, Allan; Stadtmüller, Ulrich

Part of REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, p. 51-66, 2022

The number of zeros in Elephant random walks with delays

Gut, Allan; Stadtmüller, Ulrich

Part of Statistics and Probability Letters, 2021

• DOI for The number of zeros in Elephant random walks with delays

Variations of the elephant random walk

Gut, Allan; Stadtmüller, Ulrich

Part of Journal of Applied Probability, p. 805-829, 2021

• DOI for Variations of the elephant random walk

An Asymmetric St. Petersburg Game With Trimming

Gut, Allan; Martin-Löf, Anders

Part of Advances in Applied Probability, p. 115-129, 2018

• DOI for An Asymmetric St. Petersburg Game With Trimming

The elephant random walk with gradually increasing memory

Gut, Allan; Stadtmuller, Ulrich

Part of Statistics and Probability Letters, 2022

• DOI for The elephant random walk with gradually increasing memory

Elephant random walks with delays

Gut, Allan; Stadtmüller, Ulrich

Part of REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, p. 51-66, 2022

The number of zeros in Elephant random walks with delays

Gut, Allan; Stadtmüller, Ulrich

Part of Statistics and Probability Letters, 2021

• DOI for The number of zeros in Elephant random walks with delays

Variations of the elephant random walk

Gut, Allan; Stadtmüller, Ulrich

Part of Journal of Applied Probability, p. 805-829, 2021

• DOI for Variations of the elephant random walk

An Asymmetric St. Petersburg Game With Trimming

Gut, Allan; Martin-Löf, Anders

Part of Advances in Applied Probability, p. 115-129, 2018

• DOI for An Asymmetric St. Petersburg Game With Trimming

Complete convergence for arrays and the law of the single logarithm

Gut, Allan; Stadtmüller, Ulrich

Part of Bulletin of the Australian Mathematical Society, p. 333-344, 2017

• DOI for Complete convergence for arrays and the law of the single logarithm

Limit theorems for counting variables based on records and extremes

Gut, Allan; Stadtmueller, Ulrich

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

Gut, Allan; Stadtmueller, Ulrich

Part of Statistics and Probability Letters, p. 63-72, 2017

• DOI for Strong laws for sequences in the vicinity of the LIL

A pointwise limit theorem for counting processes of perturbed random walks with an application to repeated significance tests

Gut, Allan; Stadtmueller, Ulrich

Part of Sequential Analysis, p. 290-298, 2017

• DOI for A pointwise limit theorem for counting processes of perturbed random walks with an application to repeated significance tests

Almost sure limit behavior of Cesàro sums with small order

Gut, Allan; Stadtmueller, U.

Part of Acta Mathematica Hungarica, p. 510-530, 2017

• DOI for Almost sure limit behavior of Cesàro sums with small order

A Maxtrimmed St. Petersburg Game

Gut, Allan; Martin-Löf, Anders

Part of Journal of theoretical probability, p. 277-291, 2016

• DOI for A Maxtrimmed St. Petersburg Game

Extreme-trimmed St. Petersburg games

Gut, Allan; Martin-Lof, Anders

Part of Statistics and Probability Letters, p. 341-345, 2015

• DOI for Extreme-trimmed St. Petersburg games

On convergence of randomly indexed sequences; a counterexample based on the St. Petersburg game

Gut, Allan

Part of Statistics and Probability Letters, p. 105-107, 2014

• DOI for On convergence of randomly indexed sequences; a counterexample based on the St. Petersburg game

Some Remarks on Distributed Sensing with Costs

Gut, Allan

Part of Probability in the engineering and informational sciences (Print), p. 271-277, 2014

• DOI for Some Remarks on Distributed Sensing with Costs

Precise asymptotics: A general approach

Gut, Allan; Steinebach, Josef

Part of Acta Mathematica Hungarica, p. 365-385, 2013

• DOI for Precise asymptotics: A general approach

Records in subsets of a random field

Gut, Allan; Stadtmüller, U.

Part of Statistics and Probability Letters, p. 689-699, 2013

• DOI for Records in subsets of a random field

The gambler's ruin problem with delays

Gut, Allan

Part of Statistics and Probability Letters, p. 2549-2552, 2013

• DOI for The gambler's ruin problem with delays

Anscombe's Theorem 60 Years Later

Gut, Allan

Part of Sequential Analysis, p. 368-396, 2012

• DOI for Anscombe's Theorem 60 Years Later

On the Hsu-Robbins-Erdős-Spitzer-Baum-Katz theorem for random fields

Gut, Allan; Stadtmüller, Ulrich

Part of Journal of Mathematical Analysis and Applications, p. 447-463, 2012

• DOI for On the Hsu-Robbins-Erdős-Spitzer-Baum-Katz theorem for random fields

Convergence rates in precise asymptotics

Gut, Allan; Steinebach, Josef

Part of Journal of Mathematical Analysis and Applications, p. 1-14, 2012

• DOI for Convergence rates in precise asymptotics

On the LSL for Random Fields

Gut, Allan; Stadtmueller, Ulrich

Part of Journal of theoretical probability, p. 422-449, 2011

• DOI for On the LSL for Random Fields

An intermediate Baum-Katz theorem

Gut, Allan; Stadtmueller, Ulrich

Part of Statistics and Probability Letters, p. 1486-1492, 2011

• DOI for An intermediate Baum-Katz theorem

Renewal theory with a trend

Gut, Allan

Part of Statistics and Probability Letters, p. 1292-1299, 2011

• DOI for Renewal theory with a trend

On the strong law of large numbers for delayed sums and random fields

Gut, Allan; Stadtmüller, U.

Part of Acta Mathematica Hungarica, p. 182-203, 2010

• DOI for On the strong law of large numbers for delayed sums and random fields

Limit theorems for a generalized St Petersburg game

Gut, Allan

Part of Journal of Applied Probability, p. 752-760, 2010

• DOI for Limit theorems for a generalized St Petersburg game

On asymptotic and strict monotonicity of a sharper lower bound for Student's t percentiles

Gut, Allan; Mukhopadhyay, Nitis

Part of Methodology and Computing in Applied Probability, p. 647-657, 2010

• DOI for On asymptotic and strict monotonicity of a sharper lower bound for Student's t percentiles

Cesàro summation for random fields

Gut, Allan; Stadtmüller, Ulrich

Part of Journal of theoretical probability, p. 715-728, 2010

• DOI for Cesàro summation for random fields

Between the LIL and the LSL

Gut, Allan; Jonsson, Fredrik; Stadtmüller, Ulrich

Part of Bernoulli, p. 1-22, 2010

• DOI for Between the LIL and the LSL

Asymptotics for increments of stopped renewal processes

Gut, Allan; Steinebach, Josef

Part of Statistics and Probability Letters, p. 558-565, 2010

• DOI for Asymptotics for increments of stopped renewal processes

An asymmetric Marcinkiewicz-Zygmund LLN for random fields

Gut, Allan; Stadtmüller, Ulrich

Part of Statistics and Probability Letters, p. 1016-1020, 2009

• DOI for An asymmetric Marcinkiewicz-Zygmund LLN for random fields

Truncated sequential change-point detection based on renewal counting processes II

Gut, Allan; Steinebach, Josef

Part of Journal of Statistical Planning and Inference, p. 1921-1936, 2009

• DOI for Truncated sequential change-point detection based on renewal counting processes II

Laws of the single logarithm for delayed sums of random fields

Gut, Allan; Stadtmüller, Ulrich

Part of Bernoulli, p. 249-276, 2008

• DOI for Laws of the single logarithm for delayed sums of random fields

Laws of the single logarithm for delayed sums of random fields II

Gut, Allan; Stadtmüller, Ulrich

Part of Journal of Mathematical Analysis and Applications, p. 403-414, 2008

• DOI for Laws of the single logarithm for delayed sums of random fields II

Realistic variation of shock models

Gut, Allan; Hüsler, Jürg

Part of Statistics and Probability Letters, p. 187-204, 2005

EWMA charts for detecting a change-point in the drift of a stochastic process

Gut, Allan; Steinebach, J.

Part of Sequential Anal, p. 195-237, 2004

An extension of the Kolmogorov-Feller weak law of large numbers with an application to the St. Petersburg game

Gut, Allan

Part of J. Theoret. Probab., p. 769-779, 2004

A probabilistic approach for evaluating a technique for an indirect monitoring of the capillary blood flow to the gastric parietal cells

Torrång, Ingrid; Gut, Allan; Holm-Rutili, Lena; Öbrink, K arl Johan

Part of Bulletin of Mathematical Biology, p. 171-185, 1987

An Intermediate Course in Probability

Gut, Allan

Springer, 2009

Probability: A graduate course (2nd Corr printing)

Gut, Allan

Springer-Verlag, 2007

Konsten att räkna

Gut, Allan

Norstedts förlag, Stockholm, 2007

Probability: A Graduate Course

Gut, Allan

Springer-Verlag, New York, 2005

Sant eller Sannolikt

Gut, Allan

PAN pocket, 2004

Beurling, CGE och CGS

Gut, Allan

Part of Jubileumsskrift Arne Beurling 100 år, 2007

Sant eller sannolikt i vardagslivet

Gut, Allan

Part of Konferanserapport: Popularisering av matematikk, November 15-18, 2003, Trondheim, p. 59-68, 2004

Convergence rates and precise asymptotics for renewal counting processes and some first passage times

Gut, Allan; Steinebach, J.

Part of Proceedings of the International Conference on Asymptotic Methods in Stochastics, May 23-25, 2002,, 2004

Precise asymptotics: a general approach

Gut, Allan; Steinebach, Josef

2011

• Download full text (pdf) of Precise asymptotics: a general approach

Convergence rates in precise asymptotics

Gut, Allan; Steinebach, Josef

2011

• Download full text (pdf) of Convergence rates in precise asymptotics

On the Hsu-Robbins-Erdős-Spitzer-Baum-Katz theorem for random fields

Gut, Allan; Stadtmüller, Ulrich

2011

• Download full text (pdf) of On the Hsu-Robbins-Erdős-Spitzer-Baum-Katz theorem for random fields

An intermediate Baum-Katz theorem

Gut, Allan; Stadtmüller, Ulrich

2011

• Download full text (pdf) of An intermediate Baum-Katz theorem

Convergence rates in precise asymptotics II

Gut, Allan; Steinebach, Josef

2011

• Download full text (pdf) of Convergence rates in precise asymptotics II

Anscombe’s theorem 60 years later

Gut, Allan

2011

• Download full text (pdf) of Anscombe’s theorem 60 years later

Strong limit theorems for random fields

Gut, Allan

2011

• Download full text (pdf) of Strong limit theorems for random fields

Renewal theory with a trend

Gut, Allan

2010

• Download full text (pdf) of Renewal theory with a trend

Asymptotics for Increments of Stopped Renewal Processes

Gut, Allan; Steinebach, Josef

2009

On the LSL for random fields

Gut, Allan; Stadtmüller, Ulrich

2009

Shock models

Gut, Allan; Hüsler, Jürg

2009

On the strong law of large numbers fordelayed sums and random fields

Gut, Allan; Stadtmüller, Ulrich

2009

Limit theorems for a generalized St. Petersburg game

Gut, Allan

2009

Laws of the single logarithm for delayed sums of random fields II

Gut, Allan; Stadtmüller, Ulrich

2008

Truncated sequential change-point detection based on renewal counting processes II

Gut, Allan; Steinebach, Josef

2008

Between the LIL and the LSL

Gut, Allan; Jonsson, Fredrik; Stadtmüller, Ulrich

2008

On Asymptotic and Strict Monotonicity of a Sharper Lower Bound for Student’s t Percentiles

Gut, Allan; Mukhopadhyay, Nitis

2008

Cesàro summation for random fields

Gut, Allan; Stadtmüller, Ulrich

2008

An asymmetric Marcinkiewicz-Zygmund LLN for random fields

Gut, Allan; Stadtmüller, Ulrich

2008

Some remarks on the Riemann zeta distribution

Gut, Allan

2005

Gnedenko-Raikov's theorem, central limit theory, and the weak law of large numbers

Gut, Allan

2005

A two-step sequential procedure for detecting an epidemic change

Gut, Allan; Steinebach, J.

2005

An extension of Feller's weak law of large numbers

Gut, Allan

2003

EWMA charts for a sequential change detection in the drift of a stochastic process

Gut, Allan; Steinebach, Josef

2003

Realistic variation of shock models

Gut, Allan; Hüsler, Jürg

2003