Search
Skip to Search Results 147Mathematical and Statistical Sciences, Department of
 147Mathematical and Statistical Sciences, Department of/Research Publications (Mathematical and Statistical Sciences)
 108Biological Sciences, Department of
 108Biological Sciences, Department of/Journal Articles (Biological Sciences)
 12The NSERC TRIA Network (TRIANet)
 12The NSERC TRIA Network (TRIANet)/Journal Articles (TRIANet)
 55Mark A. Lewis
 47Lewis, Mark A.
 31Kouritzin, Michael
 7Jonathan R. Potts
 6Krkošek, Martin
 6Stephanie J. Peacock

Computation of tail probability distributions via extrapolation methods and connection with rational and Padé approximants.
Download2012
Safouhi, Hassan, Gaudreau, Philippe J. , Slevinsky, Richard M.
Abstract. We use the recently developed algorithm for the G(1) n transformation to approximate tail probabilities of the normal distribution, the gamma distribution, the student’s tdistribution, the inverse Gaussian distribution, and Fisher’s F distribution. Using this algorithm, which can be...

A law of the iterated logarithm for stochastic processes defined by differential equations with a small parameter
Download1994
Heunis, A.J., Kouritzin, Michael
Consider the following random ordinary differential equation: X˙ϵ(τ)=F(Xϵ(τ),τ/ϵ,ω)subject toXϵ(0)=x0, where {F(x,t,ω),t≥0} are stochastic processes indexed by x in Rd, and the dependence on x is sufficiently regular to ensure that the equation has a unique solution Xϵ(τ,ω) over the interval...

1994
Heunis, A. J., Kouritzin, Michael
In this note we consider the almost sure convergence (as ϵ→0) of solution Xϵ(·), defined over the interval 0 ≤ τ ≤ 1, of the random ordinary differential equation View the MathML source Here {F(x, t, ω), t ≥ 0} is a strong mixing process for each x and (x, t) → F(x, t, ω) is subject to regularity...

2013
Kouritzin, Michael, Wu, B., Newton, F.
Herein, we propose generating CAPTCHAs through random field simulation and give a novel, effective and efficient algorithm to do so. Indeed, we demonstrate that sufficient information about word tests for easy human recognition is contained in the site marginal probabilities and the...

20181023
The dynamics of a fully nonlinear, treestructured resonator and its response to a broadband forcing of the branches is examined. It is shown that the broadband forcing yields a transfer of energy between the parts of the spectrum so that the spectrum becomes progressively more narrowband for...

20190504
We identify seventone (heptatonic) scales as a sequence of minor and major thirds, where we use a zero to indicate a minor third and a one for a major third. Each proper seventone scale is then represented by a {0,1}sequence of length seven. On these {0,1}sequences we define group operations...

2001
Ballantyne, David, Hoffman, John, Kouritzin, Michael
Particlebased nonlinear filters provide a mathematically optimal (in the limit) and sound method for solving a number of difficult filtering problems. However, there are a number of practical difficulties that can occur when applying particlebased filtering techniques to real world problems....

2003
Ballantyne, David, Wiersma, Jonathan, Kouritzin, Michael, Hailes, Jarett, Long, Hongwei
A hybrid weighted interacting particle filter, the selectively resampling particle filter (SERP), is used to detect and track multiple ships maneuvering in a region of water. The ship trajectories exhibit nonlinear dynamics and interact in a nonlinear manner such that the ships do not collide....

2001
Chan, Hubert, Kouritzin, Michael
Filtering is a method of estimating the conditional probability distribution of a signal based upon a noisy, partial, corrupted sequence of observations of the signal. Particle filters are a method of filtering in which the conditional distribution of the signal state is approximated by the...

A hybrid gravity and route choice model to assess vector traffic in largescale road networks
Download20200101
S. M. Fischer, M. Beck, L.M. Herborg, M. A. Lewis
Human traffic along roads can be a major vector for infectious diseases and invasive species. Though most road traffic is local, a small number of longdistance trips can suffice to move an invasion or disease front forward. Therefore, understanding how many agents travel over long distances and...