The Mathematical Scientist

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 Ričardas 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


The Mathematical Scientist is published by the Applied Probability Trust

Contact Executive Editor: Linda Nash (email: l.nash at sheffield.ac.uk)