Subscribe to our Journals

For more information on how you can subscribe to our journals please read the information on our subscriptions page.

Submit a paper

Click here for information on submitting papers to the Applied Probability Trust.

Further Information

For further information please feel free to contact us.

Online Access

Click here for details

Abstracts

Issue 37.2 (December 2012)

The Cauchy-Frullani integral formula extended to double integrals Brita Jung
How Euler found the eccentricity of planetary orbits Thomas J. Osler and Jasen Andrew Scaramazza
On the statistical independence of primes Kais Hamza and Fima Klebaner
Binomial prediction using the frequent outcome approach B. O'Neill
The duplication formula derived from the normal distribution Rasul A. Khan
The smallest upper bound for the pth absolute central moment of a class of random variables M. Egozcue, L. F. García, W-K. Wong and R. Zitikis
Kelly gambling with the stock market and banks Ravi Phatarfod
On individual neutrality and collective decision making Mu Zhu, Shangsi Wang and Lu Xin
New exposition of Gauss' final justification of least squares, Oscar Sheynin
Poisson and statistics, Oscar Sheynin
Three tangent circles' incircle, Nelson M. Blachman

Issue 37.1 (June 2012)

An introduction to smoothing R. Champion, C. T. Lenard, C. Matthews and T. M. Mills
Understanding and using Fisher's p: a four-part article, K. R. W. Brewer, Genevieve Hayes and A. N. Gillison
Understanding and using Fisher's p. Part 3: Examining an empirical data set K. R. W. Brewer, Genevieve Hayes and A. N. Gillison
Understanding and using Fisher's p. Part 4: Do we even need to specify a prior measure at H₀? Genevieve Hayes and K. R. W. Brewer
Knockout-tournament scenarios accounting for byes Martin Griffiths
Score probabilities for serve and rally competitions Ilan Adler and Sheldon M. Ross
The Great Filter, branching histories, and unlikely events David J. Aldous
Maximum entropy and the Poisson distribution C. W. Lloyd-Smith
Breaking a rod into unit lengths along a given path J. Gani and R. J. Swift
Factors for the central moments of the log-normal distribution, Christopher S. Withers and Saralees Nadarajah
Some surprising rationalities of tangent circles, Nelson M. Blachman

Issue 36.2 (December 2011)

Classical theory of decompression and the design of scuba diving tables Adrian Baddeley and Andrew P. Bassom
Shift scheduling with optimized service levels and employee satisfaction Tanja Van Hecke
Optimal constrained confidence estimation of the Poisson mean via tail functions Borek Puza and Mo Yang
Understanding and using Fisher's p: a four-part article, K. R. W. Brewer, Genevieve Hayes and A. N. Gillison
Understanding and using Fisher's p. Part 1: Countering the p-statistic fallacy K. R. W. Brewer and Genevieve Hayes
Understanding and using Fisher's p. Part 2: A reference Bayesian hypothesis test K. R. W. Brewer and Genevieve Hayes
Planar biarc curves – a geometric view Tirupathi R. Chandrupatla and Thomas J. Osler
Genetic algorithm and the pendulum problem P. Kim, J. Latulippe, S. Muehlbacher, E. Shen and K. Shun
Obituary: Ralph Gordon Stanton, Joe Gani
Generating prime numbers, Bablu Chandra Dey

Issue 36.1 (June 2011)

A hexagonal tiles recursion motivated by a problem in biology Christine M. O'Keefe, Sergiy Pereverzyev, Jr and Robert S. Anderssen
On the lower bounds of a symmetric inequality involving roots Tuan Le
Random processes, social groups, and households. II C. W. Lloyd-Smith and V. E. Jennings
Bernoulli numbers and probability distributions: some connections D. S. Broca
On Halley's correction to the Newton-Raphson method Tanja Van Hecke
Testing if a distribution is a mixture of gammas Christopher S. Withers and Saralees Nadarajah
Further aspects of gambling with the Kelly criterion Ravi Phatarfod
An analysis of the disadvantage to players of multiple decks in the game of twenty-one Leslie M. Golden
Obituary: David Blackwell, Randall Swift
On moments of the geometric distribution, Stuart Friedman and Kamta Rai

Issue 35.2 (December 2010)

Time series analysis to forecast temperature change Tanja Van Hecke
A predator–prey model with spiteful hawk–dove predators Noelle Sio and Jennifer Switkes
Random processes, social groups, and households C. W. Lloyd-Smith and V. E. Jennings
A generalization of the vernier algorithm Rabe-R. von Randow
Collision of one-dimensional random walks David K. Neal
Gambler's ruin? Some aspects of coin tossing Porter W. Johnson and David Atkinson
The perimeter of an ellipse Tirupathi R. Chandrupatla and Thomas J. Osler
The inverse law of large numbers, Oscar Sheynin

Issue 35.1 (June 2010)

Karl Pearson a century and a half after his birth Oscar Sheynin
An explicit solution to the problem of optimizing the allocations of a bettor's wealth when wagering on horse races Peter Smoczynski and Dave Tomkins
Rediscoveries of a first passage time result for dams and shot noise Geoffrey F. Yeo
A simple Parrondo paradox Michael Stutzer
On the Kermack-McKendrick approximation for removals from an epidemic J. Gani and R. J. Swift
A Black-Scholes model with GARCH volatility H. Gong, A. Thavaneswaran and J. Singh
The geometry of undamped harmonic oscillators Yousef Daneshbod and Joe Latulippe
A combinatorial proof of a novel binomial identity, Gérard C. Nihous
On Borromean rings, Helge Tverberg
A generalization of the Borel-Cantelli lemma, Narayanaswamy Balakrishnan and Alexei Stepanov

Issue 34.2 (December 2009)

The Mayor's dilemma F. W. Steutel
Euler and the functional equation for the zeta function Thomas J. Osler
Surface accumulation of spermatozoa: a fluid dynamic phenomenon D. J. Smith and J. R. Blake
The θ-logistic and Gompertz birth--death processes Randall J. Swift
A generalization of the Monty Hall problem Gérard C. Nihous
The duration of play in games of chance with win-or-lose outcomes and general payoffs Marc Estafanous and S. N. Ethier
Stochastic and deterministic characteristics of recursively defined networks G. S. Tsitsiashvili
The transient solution to a time-dependent single-server queue with balking R. O. Al-Seedy, A. A. El-Sherbiny, S. A. El-Shehawy and S. I. Ammar
On a gossip problem, Helge Tverberg

Issue 34.1 (June 2009)

Obituary: Kiyoshi Itô Randall Swift
Extending Halley's Problem: Firing a mortar when there is air Resistance C.W. Groetsch
The contribution of Sir Ronald Ross to epidemic modelling J. Gani
Repeated subdivision of triangles by their medians Nelson M. Blachman
An alternative derivation of the multi-parameter Cramér–Rao inequality Brandi A. Greer, James D. Stamey, Dean M. Young and David J. Ryden
Limits of mean and variance of a Fibonacci distribution David K. Neal
A strategy that exploits (unknown) bias in tossing a real coin Stephen J. Royle
Negative moments for the conditional binomial Christopher S. Withers and Saralees Nadarajah
Constrained confidence estimation of the binomial p via tail functions Borek Puza and Terence O'Neill
Birthday problem that includes a leap day, Mohammed R. Karim
An interesting property of finite birth and death processes, P. R. Parthasarathy
An identity for the bivariate normal, Christopher S. Withers and Saralees Nadarajah
Constants in a differentiation process that become variables, Haralds Petersons

Issue 33.2 (December 2008)

An improved double-elimination tournament with application to the FIFA World Cup Samuel S. Wu and Mark C. K. Yang
Modeling the design of an airport runway Paul J. Laumakis
Dice sums Amber Rosin, Mary Sharobiem and Randall Swift
A class of Markov chains with beta ergodic distributions Carlos G. Pacheco-Gonzalez and Jordan Stoyanov
A Torricellian model and implicit functions C. W. Groetsch
Euler, Lambert, and the Lambert W-function today P. B. Brito, F. Fabião and A. Staubyn
Optimal constrained confidence estimation via tail functions Borek Puza and Terence O'Neill
Filtering for some time series models by using transformation H. Gong, A. Thavaneswaran and J. Singh
Single vehicle routing problem with a predefined customer sequence and stochastic continuous demands, E. G. Kyriakidis and T. D. Dimitrakos
A cubed integer which is the sum of three cubed integers, Ron Larham
Comments on a note of Safely, Nguyen and Switkes (2007), Ron Larham

Issue 33.1 (June 2008)

In vino veritas, in dolio calamitas François Jongmans
Approximating the path of a celestial body with a circular orbit from two close observations Thomas J. Osler and Joseph Palma
Reflections on The Cauchy–Schwarz Master Class Kenneth Lange
Skew Laplace distributions. I. Their origins and inter-relations Tomasz J. Kozubowski and Krzysztof Podgórski
Skew Laplace distributions II. Divisibility properties and extensions to stochastic processes Tomasz J. Kozubowski and Krzysztof Podgórski
A proof of the shape of the Birnbaum–Saunders hazard rate function Mark Bebbington, Chin-Diew Lai and Ricardas Zitikis
On some explicit results for the balanced generalized Pólya urn Stefano Giordano and Fausto Camboni
Explicit expressions for moments and cumulants of three distributions, Christopher S. Withers and Saralees Nadarajah
Improving the bounds for the factorial polynomial and factorial n, Munir Mahmood and Phillip Edwards

Issue 32.2 (December 2007)

The challenge for the piano maker R. S. Anderssen and W. D. Stuart
What can be said about the remainder in a divergent series? R. Willink
Lost in space W. L. Champion, T. M. Mills and Simon J. Smith
Computing the order of strength in bridge team tournaments where each team does not compete against every other team G. Dirksen and M. Stieglitz
On feedback quality control with EWMA K. Triantafyllopoulos
On the optimal control of a multidimensional simple epidemic process E. G. Kyriakidis and A. Pavitsos
On the spread of carrier-borne epidemics under the influence of carrier immigration Jennifer Sun and Randall J. Swift
A simple optimisation method for clinical trials W. F. Scott
Transient solution for a queue with state- and time-dependent rates P. R. Parthasarathy and R. Sudhesh
Improving the accuracy of a Monte Carlo simulation Gordon Safely, Tuyettrinh Nguyen and Jennifer Switkes

Issue 32.1 (June 2007)

Statistical analysis of golden-ratio forms in piano sonatas by Mozart and Haydn Jesper Rydén
A chain of curlicues Nelson M. Blachman
On the gaps between consecutive primes Howard Skogman
A Parrondo paradox in reliability theory Antonio Di Crescenzo
Some aspects of gambling with the Kelly criterion Ravi Phatarfod
The effect of alcohol on neuron firing Jeannine T. Abiva, Erika T. Camacho, Edna S. Joseph, Arpy K. Mikaelian, Charles R. Rogers, John Shelton and Stephen A. Wirkus
More general, further unified, yet more accessible sharing problem results Aaron Childs
A compound gamma distribution with application to drought data Saralees Nadarajah
Identification of ARMA models with GARCH errors M. Ghahramani and A. Thavaneswaran
A cubed integer which is the sum of three cubed integers Bablu Chandra Dey

Issue 31.2 (December 2006)

Is there a political business cycle in Chancellor Schroeder's Germany? David Chappell and Su Zhang
Probabilistic analysis of numbers of namesakes in a large population Qingzhi Yao and Yuyuan Zhao
The fundamental theorem of actuarial risk science Sérgio B. Volchan
Selection bias in binary data from volunteer surveys B. D. Puza and T. J. O'Neill
Design alternatives to 4-team double-elimination tournaments Jonathan J. Shuster, Samuel S. Wu and Anqi Sun
Processes with catastrophes David Stirzaker
Birth–death processes with the Allee effect Flora A. Mulkey and Randall Swift
Obituary: Paul Cohn, FRS J. Gani
On highway relativity Stephen Wirkus, Jennifer Switkes and Randall Swift
Deaths caused by the 16th–17th century London plagues reported by Graunt J. Gani

Issue 31.1 (June 2006)

Health expectancies C. R. Heathcote
HIV, antiretroviral therapy, and dynamic programming Frederick H. Chen
Solving some delay differential equations with computer algebra Jane M. Heffernan and Robert M. Corless
A pest immigration process controlled by an intermittent predator E. G. Kyriakidis and T. D. Dimitrakos
An exact solution to a Kolmogorov-type model for two interacting populations Max-Olivier Hongler and Roger Filliger
An exact solution for an M/M/1 queue with piecewise-constant rates P. R. Parthasarathy and R. Sudhesh
The product Cauchy distribution Saralees Nadarajah and Samuel Kotz
An improved prime-number generator Bablu Chandra Dey
A counter-intuitive result in the AIDS epidemic J. Gani

Issue 30.2 (December 2005)

The problem of the broken rod and Ernesto Cesàro's early work in probability Eugene Seneta and François Jongmans
On the golden ratio, strong law, and first passage problem Tien-Chung Hu, Andrew Rosalsky and Andrei I. Volodin
A note on the estimation of the frequency and severity distribution of operational losses A. Chernobai, C. Menn, S. T. Rachev and S. Trück
Hypergeometric functions and birth–death processes P. R. Parthasarathy
Sums and ratios for Marshall and Olkin's bivariate exponential distribution Saralees Nadarajah and Samuel Kotz
Measuring inter-rater agreement: how useful is the kappa statistic? W. F. Scott
Exact tests and quasi-exact alternatives Mary C. Phipps

Issue 30.1 (June 2005)

A brief history of The Mathematical Scientist, 1976–2004 J. Gani
Markov and life insurance Oscar Sheynin
In defence of the reverse gambler's belief B. O'Neill and B. D. Puza
Cooperative effects in multi-server queueing systems Gurami Tsitsiashvili
A dynamical, self-thinning approach to scaling vegetation systems Belinda Barnes
Another posterior paradox B. D. Puza, K. R. W. Brewer and T. J. O'Neill
On the linear combination and ratio of Laplace random variables Saralees Nadarajah and Samuel Kotz
Moment properties of some time series models S. S. Appadoo, M. Ghahramani and A. Thavaneswaran
A simple algebraic method for integrating polynomials Yoshifusa Ito

Issue 29.2 (December 2004)

Mathematical modelling in higher education social research S. P. Decent, J. C. Wathan and S. E. Brown
Purchasing power parity theory: a cointegration analysis of seven Latin American currencies John C. B. Cooper
A mathematical model for `Who Wants To Be A Millionaire?' Robert C. Dalang and Violetta Bernyk
More geometry for the distribution of the sample correlation coefficient Yoshifusa Ito and Hiroyuki Izumi
Reversible Markov chains and spanning trees A. Yu. Mitrophanov
An unbiased random walk with catastrophe Jennifer Switkes
A truncated t distribution Saralees Nadarajah and Samuel Kotz
A demonstration of the Weierstrass theorem based on the theory of probability' by S. N. Bernstein Oscar Sheynin

Issue 29.1 (June 2004)

Liu Hui's algorithm for π: a mathematical detective story Claude C. Leroy
On the factorization of codes P. M. Cohn
The Schwarz–Christoffel transformation as a tool in applied probability Yvik C. Swan and F. Thomas Bruss
An alternative proof of the relationship between F and G when FFT = GGT Marsha M. Young and Dean M. Young
A generalized beta distribution Saralees Nadarajah and Samuel Kotz
Variance of a randomly stopped sum Lingyun Zhang and C. D. Lai
The estimation of the odds ratio by Peto's method W. F. Scott
A Bayesian double sampling scheme for classifying binomial data A. Katsis and B. Toman
A note on Bayesian interval estimation for comparing two Poisson rates Tom L. Bratcher and James D. Stamey
Four-letter codes for primes and nonprimes reveal very long coding repeats Mels Sluyser and Geert A. Verhagen
On sequences of independent Bernoulli trials avoiding the pattern 11 Lingyun Zhang

Issue 28.2 (December 2003)

The oscillation of a loaded spring R. Champion and W. L. Champion
Some unusual birth-and-death processes P. R. Parthasarathy
On the means of deterministic and stochastic populations Jennifer Switkes, Stephen Wirkus, Ioana Mihaila and Randall Swift
Transient solution of an M/M/2 queue with catastrophes B. Krishna Kumar and S. Pavai Madheswari
Optimal sequential selection from among n boxes Nelson M. Blachman
The Collins case again Halvor Mehlum
On the central moments of the multidimensional Gaussian distribution Kostas Triantafyllopoulos
Sample variance and first-order differences of observations Anwar H. Joarder

Issue 28.1 (June 2003)

Mathematical modelling of homeless populations J. G. Byatt-Smith, A. A. Lacey, D. F. Parker, D. Simpson, W. R. Smith and J. A. D. Wattis
Orthogonal trajectories in polar form Behzad Salimi
Sets of binary random variables with a prescribed independence/dependence structure Jordan Stoyanov
Perceived highway speed Randall Swift, Jennifer Switkes and Stephen Wirkus
On the history of Bayes's theorem Oscar Sheynin
Real-world resolution of the two-envelope problem with a heavy-tailed distribution Nelson M. Blachman
A log-Laplace growth rate model Tomasz J. Kozubowski and Krzysztof Podgórski
On the asymptotic normality of the posterior distribution: II W. F. Scott

Issue 27.2 (December 2002)

Obituary: Evgeny Evgenievich Slutsky A. N. Kolmogorov (translated by O. Sheynin)
The optimal extraction of a privately owned renewable resource David Chappell and Kevin Dowd
The Collins case: a `beads in urns' model T. Rolf Turner
Asymptotics for the maximum in the coupon collector's problem Michael Scheutzow
Hermite polynomials and Brownian motion Tom Carroll
Applying the Bernoulli equation to solve a Klein–Gordon-type equation Sirendaoreji and S. Jiong
Analysis of the busy period of the chemical queue: a series approach A. M. K. Tarabia and A. H. El-Baz
Some parametric chain models G. Jones and C. D. Lai
A four-letter code for prime numbers Mels Sluyser
The transient probabilities of a simple immigration–emigration–catastrophe process E. G. Kyriakidis

Issue 27.1 (June 2002)

Applying the Poisson integral formula to signal processing J. W. Wilder
Euler's formula and random geometric graphs Jacob Benfield and Anant P. Godbole
A new explicit solution for a chemical queue A. M. K. Tarabia and A. H. El-Baz
A simplified log-rank test W. F. Scott
Solution of the inverse coupon collector's problem Eric Langford and Rebecca Langford
Optimal control of two competing diseases with state-dependent infection rates E. G. Kyriakidis and T. D. Dimitrakos
A note on mass-action and random allocation epidemic models B. Barnes
Modeling the 1984–1993 American League baseball results as dependent categorical data H. Bayo Lawal

Issue 26.2 (December 2001)

Chebyshev's influence on the development of mathematics S. N. Bernstein (translated by O. Sheynin)
On recent cable models in neurophysiology Roman R. Poznanski
Statistical modelling and prediction associated with the HIV/AIDS epidemic P. J. Solomon and S. R. Wilson
A probabilistic approach to identifying positive value cash flows Ilan Adler and Sheldon M. Ross
Birth-death processes via MATHEMATICA® Randall J. Swift
Independence of unscaled basis functions and finite mappings by neural networks Yoshifusa Ito
A Lie group approach to Bernoulli's transformations Behzad Salimi

Issue 26.1 (June 2001)

Mathematics and the human genome project W. J. Ewens
Tiling with Penrose rhomb clusters Ellen Perstein
Simple solutions for a special Riccati equation Behzad Salimi
A logistic birth–death–immigration–emigration process Randall J. Swift
Monotone decreasing distance between distributions of sums of unfair coins and a fair coin Prem K. Goel and Chandra M. Gulati
Chaotic behaviour in a tatonnement process for a simple general equilibrium model of a pure exchange economy David Chappell, Thomas W. Warke and Angela Anagnostou
On the asymptotic normality of the posterior distribution W. F. Scott
The transient probabilities of the simple immigration–catastrophe process E. G. Kyriakidis
Disasters David Stirzaker

Issue 25.2 (December 2000)

Dirac operators — from differential calculus to the index theorem David Applebaum
On a certain kind of generalized number-theoretical Möbius function Tom C. Brown, Leetsch C. Hsu, Jun Wang and Peter Jau-Shyong Shiue
Some gambling strategies: an evaluation Surekha Mudivarthy and M. Bhaskara Rao
Birth and death processes, orthogonal polynomials and limiting conditional distributions Wim Schoutens
Some results for a chain binomial model G. Jones, C. D. Lai and J. C. W. Rayner
Power surfaces Mary C. Phipps
Sample size and the accuracy of a consistent estimator Paul van der Laan and Constance van Eeden
Reducing the pairing effect in 4-team double-elimination Peter Thompson, Eric Jaryszak and John Wamil
Obituary: William Frederick Forbes

Issue 25.1 (June 2000)

Stirling numbers and Bell numbers: their role in combinatorics and probability David Branson
A simple immigration-catastrophe process Randall J. Swift
Asymmetric Laplace distributions Tomasz J. Kozubowski and Krzysztof Podgórski
The switching problem and conditionally specified distributions F. Thomas Bruss and Ludger Rüschendorf
The estimation of the hazard ratio in clinical trials and in meta-analysis W. F. Scott
A simple distribution without any moments Christian Kleiber
Obituary: Gian-Carlo Rota

Issue 24.2 (December 1999)

Geometry, algebra and data analysis John Gower
Boundary value problems with Dirac delta function Behzad Salimi
An application of cross products in probability Y. H. Wang, Lingqi Tang and You Shi Lou
Spectral representation of four finite birth and death processes W. Van Assche, P. R. Parthasarathy and R. B. Lenin
Stable Paretian models in econometrics: part II Svetlozar T. Rachev, Jeong-Ryeol Kim and Stefan Mittnik
Epidemic models and social networks Håkan Andersson
On 2x2 contingency tables W. F. Scott

Issue 24.1 (June 1999)

Thackeray and the Belgian progression S. N. Ethier
Stable Paretian models in econometrics: part I Svetlozar T. Rachev, Jeong-Ryeol Kim and Stefan Mittnik
Optimal isolation policies for controlling two competing diseases E. G. Kyriakidis
Generating magic squares from magic formulae Livinus U. Uko
On Lagrange's and related identities Charles E. M. Pearce and Josip Pecaric

Issue 23.2 (December 1998)

Fluctuations N. H. Bingham
De Méré Paradoxes A. I. Dale
Probabilistic results for BINGO G. S. Georgiev
On cyclic permutations Lajos Takács
Convergence to stable distributions using Laplace transforms Lennart Bondesson and Lars Holst
Fractional differential equations and initial value problems Matt Davison and Christopher Essex
On the asymptotic efficiency of the Wilcoxon, Mann-Whitney/Wilcoxon and Kruskal-Wallis rank tests W. F. Scott
Determining a fair leasing rate for a rotating billboard Christian Genest
On a Ramanujan number P. R. Parthasarathy

Issue 23.1 (June 1998)

Single species dopant diffusion in silicon W. Merz, K. Pulverer and E. Wilczok
Eight valuation methods in financial mathematics: The Black–Scholes Formula as an example Jesper Andreasen, Bjarke Jensen and Rolf Poulsen
Quit when you are ahead David K. Neal
Ordinary and inverse sampling in the trinomial J. C. W. Rayner and P. J. Davy
A simple derivation of the Cauchy–Schwarz inequality ByoungSeon Choi
Some comments on modified Newtonian gravitational theory H.F. Petersons
The fallacy of the two-envelopes problem Steven J. Brams and D. Marc Kilgour
The fallacy of the two-envelopes problem F. Thomas Bruss