Publications by Pieter C.
Allaart:
Underlined papers are
available in portable document format (pdf).
- An invariant-sum characterization of
Benford's law. J. Appl. Prob. 34, 288-291 (1997)
- Minimax risk inequalities for the
location-parameter classification problem. J. Multivariate Anal.
66, no.2, 255-269 (1998)
- Bounds on the non-convexity of ranges of
vector measures with atoms. Contemp. Math. 234, 1-11 (1999)
- A sharp non-convexity bound for partition
ranges of vector measures with atoms. J. Math. Anal. Appl.
235, 326-348 (1999)
- Inequalities relating maximal moments to
other measures of dispersion. Statistica Neerlandica 54,
no.3, 366-373 (2000)
- (with M. Monticino) Optimal stopping rules
for directionally
reinforced processes. Adv. Appl. Prob. 33, no.2, 483-504
(2001).
- (with M. Monticino) Pseudoprophet
inequalities in
average-optimal stopping. Sequential Anal. 22, no. 3,
233-239 (2003).
- Moments of the mean of Dubins-Freedman random
probability distributions. J. Theoretical Probab. 16,
no. 2, 471-488 (2003)
- Optimal stopping rules for correlated random
walks with a discount. J. Appl. Prob. 41, no. 2, 483-496
(2004)
- An application of prophet regions to
optimal
stopping with a random number of observations. Optimization
53, no. 4, 331-338 (2004)
- Stopping the maximum of a correlated random
walk, with cost for observation. J. Appl. Prob. 41,
no. 4, 998-1007 (2004)
- Prophet regions for $[0,1]$-valued random
variables with random
discounting. Stoch.
Anal. Appl. 23, no. 3, 491-509 (2005)
- (with K. Kawamura) Extreme values of some
continuous, nowhere
differentiable
functions. Math.
Proc. Camb. Phil. Soc. 140, no. 2, 269-295 (2006)
- (with K. Kawamura) On the coordinate
functions of Lévy's
dragon
curve. Real Anal.
Exchange 31, no. 1, 295-308 (2005/06)
- Prophet regions for discounted, uniformly
bounded random
variables.
Stoch.
Anal. Appl. 24, no. 3, 531-554 (2006)
- Prophet inequalities for i.i.d.
random variables with random
arrival times. Sequential Anal. 26, no. 4, 403-413 (2007)
- (with K. Kawamura) Dimensions of the coordinate functions of
space-filling curves. J. Math. Anal. Appl. 335, 1161-1176 (2007)
- (with M. Monticino) Optimal buy/sell strategies for directionally
reinforced processes. J. Appl. Prob. 45, 33-44 (2008)
- Distribution of the maxima of random Takagi functions. (Submitted for
publication.)
- On a flexible class of continuous functions with uniform local
structure. (To appear in J. Math. Soc. Japan.)
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