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Search: R. A. Maller
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1.
Passage times of random walks and Levy processes across power law boundaries
Title:
Passage times of random walks and Levy processes across power law boundaries
Author:
DONEY R A; MALLER R. A.
DONEY R A; MALLER R. A.
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Publisher:
Probability Theory and Related Fields
Year of Publication:
20050503
Source:
Probability Theory and Related Fields. 2005; 133(1).
Probability Theory and Related Fields. 2005; 133(1).
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Document Type:
Journal article
Relations:
http://www.manchester.ac.uk/escholar/ukacmanscw:1a9910
URL:
http://www.manchester.ac.uk/escholar/ukacmanscw:1a9910
http://dx.doi.org/10.1007/s0044000404143
http://www.manchester.ac.uk/escholar/ukacmanscw:1a9910
http://dx.doi.org/10.1007/s0044000404143
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2.
Renewal theorems and stability for the reflected process
Title:
Renewal theorems and stability for the reflected process
Author:
Doney R. A., Maller R. A. and Savov M. S
Doney R. A., Maller R. A. and Savov M. S
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Year of Publication:
2009
Source:
Stochastic processes and their applications. 2009; 119(4):12701297.
Stochastic processes and their applications. 2009; 119(4):12701297.
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Document Type:
Original research ; Academic journal article ; Journal article
Relations:
http://www.manchester.ac.uk/escholar/ukacmanscw:51976
URL:
http://www.manchester.ac.uk/escholar/ukacmanscw:51976
http://dx.doi.org/10.1016/jspa.2008.06.009
http://www.manchester.ac.uk/escholar/ukacmanscw:51976
http://dx.doi.org/10.1016/jspa.2008.06.009
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3.
Passage of Levy processes across power law boundaries .at small times.
Title:
Passage of Levy processes across power law boundaries .at small times.
Author:
J. Bertoin, R. A. Doney, R. A. Maller
J. Bertoin, R. A. Doney, R. A. Maller
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Source:
Annals of Probabability. (1):160197.
Annals of Probabability. (1):160197.
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Document Type:
Original research ; Academic journal article ; Journal article
Relations:
http://www.manchester.ac.uk/escholar/ukacmanscw:148235
URL:
http://www.manchester.ac.uk/escholar/ukacmanscw:148235
http://www.manchester.ac.uk/escholar/ukacmanscw:148235
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4.
and
Open Access
Title:
and
Author:
K. B. Erickson
;
R. A. Maller
;
Centre For Financial Mathematics
K. B. Erickson
;
R. A. Maller
;
Centre For Financial Mathematics
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Description:
We compare the largest jump in a Lévy process Xt up till time t, i.e, Yt = sup{Xs − Xs−  : s ≤ t}, to the twosided maximal value of the process, Let Mt = sup{Xs  : s ≤ t}. T(r) = inf{t> 0: Xt > r}, r> 0, be the twosided passage time out of the twosided strip [−r, r]. Then we show that Yt is negligible with respect to Mt for small times,...
We compare the largest jump in a Lévy process Xt up till time t, i.e, Yt = sup{Xs − Xs−  : s ≤ t}, to the twosided maximal value of the process, Let Mt = sup{Xs  : s ≤ t}. T(r) = inf{t> 0: Xt > r}, r> 0, be the twosided passage time out of the twosided strip [−r, r]. Then we show that Yt is negligible with respect to Mt for small times, i.e., lim t↓0
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20101006
Source:
http://www.math.ku.dk/%7Emikosch/maphysto_extremes_2005/Slides/
Maller
.pdf
http://www.math.ku.dk/%7Emikosch/maphysto_extremes_2005/Slides/
Maller
.pdf
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Document Type:
text
Language:
en
Rights:
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.173.5145
http://www.math.ku.dk/%7Emikosch/maphysto_extremes_2005/Slides/Maller.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.173.5145
http://www.math.ku.dk/%7Emikosch/maphysto_extremes_2005/Slides/Maller.pdf
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5.
THE EFFECT OF TRIMMING ON THE STRONG LAW OF LARGE NUMBERS
Open Access
Title:
THE EFFECT OF TRIMMING ON THE STRONG LAW OF LARGE NUMBERS
Author:
Harry Kesten
;
R. A. Maller
Harry Kesten
;
R. A. Maller
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Description:
'Trimmed ' sample sums may be defined for r = 1, 2,., by and We _c _v(l)_y(2) _ _yW where Sn = X1 + X, +. + Xn is the sum of independent and identically distributed random variables Xit M^s=. 25 M 1 " ' denote Xx,., Xn arranged in decreasing order, and X ^ is the observation with i ^ x n g g ^ the yth largest modulus. We investigate the effects...
'Trimmed ' sample sums may be defined for r = 1, 2,., by and We _c _v(l)_y(2) _ _yW where Sn = X1 + X, +. + Xn is the sum of independent and identically distributed random variables Xit M^s=. 25 M 1 " ' denote Xx,., Xn arranged in decreasing order, and X ^ is the observation with i ^ x n g g ^ the yth largest modulus. We investigate the effects of these kinds of trimming on various forms of convergence and divergence of the sample sum. In particular, we provide integral tests for < r) Sn/n*±», and analytical criteria for almost sure relative stability when the number of points trimmed, r, is fixed, but n—> °°. Some surprising results occur. For example, when r = 0,1, 2,., {r) Sn may be almost surely negatively relatively stable ( (r) 5n/5n — *1 a.s. as n — * «> for some nonstochastic sequence Bn f o°) only if « <EX ^ =£(), and a striking corollary of this is an example of a random walk Sn which is recurrent (even has mean 0), but for which (r) 5n and (r) 5n are transient when r s * 1. 1.
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20090203
Source:
http://plms.oxfordjournals.org/cgi/reprint/s371/2/441.pdf
http://plms.oxfordjournals.org/cgi/reprint/s371/2/441.pdf
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Document Type:
text
Language:
en
DDC:
519 Probabilities & applied mathematics
(computed)
Rights:
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
Metadata may be used without restrictions as long as the oai identifier remains attached to it.
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URL:
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.138.3784
http://plms.oxfordjournals.org/cgi/reprint/s371/2/441.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.138.3784
http://plms.oxfordjournals.org/cgi/reprint/s371/2/441.pdf
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6.
Smalltime versions of Strassen's law for Levy processes
Open Access
Title:
Smalltime versions of Strassen's law for Levy processes
Author:
Maller, R. A.
Maller, R. A.
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Description:
We study aspects of the ‘smalltime’ behaviour (as t ↓ 0) of a Lévy process X ( t ), obtaining a very general smalltime version of Strassen's almost sure (a.s.) functional law of the iterated logarithm (LIL) for random walks. The class of Lévy processes for which this holds is characterised by an explicit analytic condition on the Lévy measu...
We study aspects of the ‘smalltime’ behaviour (as t ↓ 0) of a Lévy process X ( t ), obtaining a very general smalltime version of Strassen's almost sure (a.s.) functional law of the iterated logarithm (LIL) for random walks. The class of Lévy processes for which this holds is characterised by an explicit analytic condition on the Lévy measure of X , related to an analogous condition of Kesten for a generalised (largetime) random walk LIL. Both centred and uncentred versions of the smalltime result are proved. Subsidiary results concerning functional weak convergence of X ( t ) to Brownian motion as t ↓ 0 are shown to be equivalent to the main a.s. results. The quadratic variation process of X is considered, and applications via continuous functionals are suggested.
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Publisher:
Oxford University Press
Year of Publication:
20090301 00:00:00.0
Document Type:
TEXT
Language:
en
Subjects:
Articles
Articles
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Rights:
Copyright (C) 2009, London Mathematical Society
Copyright (C) 2009, London Mathematical Society
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URL:
http://dx.doi.org/10.1112/plms/pdn041
http://plms.oxfordjournals.org/cgi/content/short/98/2/531
http://dx.doi.org/10.1112/plms/pdn041
http://plms.oxfordjournals.org/cgi/content/short/98/2/531
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7.
On the exponential model for survival
Open Access
Title:
On the exponential model for survival
Author:
MALLER, R. A.
MALLER, R. A.
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Description:
A simple sufficient condition for the existence, consistency and asymptotic normality of the regression coefficient in the exponential model for survial is given. The intuition that consistent estimation can only be guaranteed when censoring variable are not too small, depending on the values of the covariates, can be quantified in some examples...
A simple sufficient condition for the existence, consistency and asymptotic normality of the regression coefficient in the exponential model for survial is given. The intuition that consistent estimation can only be guaranteed when censoring variable are not too small, depending on the values of the covariates, can be quantified in some examples with the use of this condition.
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Publisher:
Oxford University Press
Year of Publication:
19880901 00:00:00.0
Document Type:
TEXT
Language:
en
Subjects:
Articles
Articles
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Rights:
Copyright (C) 1988, Biometrika Trust
Copyright (C) 1988, Biometrika Trust
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URL:
http://dx.doi.org/10.1093/biomet/75.3.582
http://biomet.oxfordjournals.org/cgi/content/short/75/3/582
http://dx.doi.org/10.1093/biomet/75.3.582
http://biomet.oxfordjournals.org/cgi/content/short/75/3/582
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8.
Some aspects of a mixture model for estimating the boundary of a set of data
Open Access
Title:
Some aspects of a mixture model for estimating the boundary of a set of data
Author:
Maller, R. A.
Maller, R. A.
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Description:
This paper discusses a method for estimating the parameters of the boundary of a set of points for which the y variable is bounded above. The boundary may be linear, for example, in which case a scatterplot of the data may have a triangular appearance. An example is obtained by plotting cube root of food volume in an animal's incompletely filled...
This paper discusses a method for estimating the parameters of the boundary of a set of points for which the y variable is bounded above. The boundary may be linear, for example, in which case a scatterplot of the data may have a triangular appearance. An example is obtained by plotting cube root of food volume in an animal's incompletely filled stomach against the animal's length; full stomachs constitute the upper boundary, while other volumes fall between 0 and the boundary, depending on how full or empty a stomach may be. Our method is to fit a mixture of an ordinary regression model and a variate having an unknown mixing distribution, which represents the variation of another unobserved factor such as the proportionate fullness of the stomach, for example. The mixing distribution is discretized and the number of mixing classes is estimated by Akaike's procedure. The method is found to be stable and reliable for simulated sets of data, and is illustrated by application to three data sets. Examples of occurrence of the problem in various areas of ecology, and in other areas, are given.
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Publisher:
Oxford University Press
Year of Publication:
19900101 00:00:00.0
Document Type:
TEXT
Language:
en
Subjects:
Articles
Articles
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Rights:
Copyright (C) 1990, International Council for the Exploration of the Sea/Conseil International pour l'Exploration de la Mer
Copyright (C) 1990, International Council for the Exploration of the Sea/Conseil International pour l'Exploration de la Mer
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URL:
http://dx.doi.org/10.1093/icesjms/46.2.140
http://icesjms.oxfordjournals.org/cgi/content/short/46/2/140
http://dx.doi.org/10.1093/icesjms/46.2.140
http://icesjms.oxfordjournals.org/cgi/content/short/46/2/140
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9.
The Effect of Trimming on the Strong Law of Large Numbers
Open Access
Title:
The Effect of Trimming on the Strong Law of Large Numbers
Author:
Kesten, Harry
;
Maller, R. A.
Kesten, Harry
;
Maller, R. A.
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Description:
‘Trimmed’ sample sums may be defined for r = 1, 2, …, by<fd>$${}^{\left(r\right)}{S}_{n}={S}_{n}{M}_{n}^{\left(1\right)}{M}_{n}^{\left(2\right)}\mathrm{.}{M}_{n}^{\left(r\right)}$$</fd>and<fd>$${}^{\left(r\right)}{S}_{n}={S}_{n}{X}_{n}^{\left(1\right)}{X}_{n}^{\left(2\right)}\mathrm{.}{X}_{n}^{\left(r\right)}$$</fd>where S n = X 1...
‘Trimmed’ sample sums may be defined for r = 1, 2, …, by<fd>$${}^{\left(r\right)}{S}_{n}={S}_{n}{M}_{n}^{\left(1\right)}{M}_{n}^{\left(2\right)}\mathrm{.}{M}_{n}^{\left(r\right)}$$</fd>and<fd>$${}^{\left(r\right)}{S}_{n}={S}_{n}{X}_{n}^{\left(1\right)}{X}_{n}^{\left(2\right)}\mathrm{.}{X}_{n}^{\left(r\right)}$$</fd>where S n = X 1 + X 2 + … + X n is the sum of independent and identically distributed random variables X i , <f>$${M}_{n}^{\left(1\right)}\ge \dots \hbox{ \hspace{0.17em} }\ge {M}_{n}^{\left(n\right)}$$</f> denote X l , …, X n arranged in decreasing order, and <f>$${X}_{n}^{\left(j\right)}$$</f> is the observation with the j th largest modulus. We investigate the effects of these kinds of trimming on various forms of convergence and divergence of the sample sum. In particular, we provide integral tests for ( r ) S n / n → ±∞, and analytical criteria for almost sure relative stability when the number of points trimmed, r , is fixed, but n → ∞. Some surprising results occur. For example, when r = 0, 1, 2, …, ( r ) S n may be almost surely negatively relatively stable (( r ) S n / B n → −1 a.s. as n → ∞ for some nonstochastic sequence B n ↑ ∞) only if −∞ < EX 1 ≤ 0, and a striking corollary of this is an example of a random walk S n which is recurrent (even has mean 0), but for which ( r ) S n and <f>$${\tilde{S}}_{n}$$</f> are transient when r ≥ 1.
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Publisher:
Oxford University Press
Year of Publication:
19950901 00:00:00.0
Document Type:
TEXT
Language:
en
Subjects:
Articles
Articles
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Rights:
Copyright (C) 1995, London Mathematical Society
Copyright (C) 1995, London Mathematical Society
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URL:
http://dx.doi.org/10.1112/plms/s371.2.441
http://plms.oxfordjournals.org/cgi/content/short/s371/2/441
http://dx.doi.org/10.1112/plms/s371.2.441
http://plms.oxfordjournals.org/cgi/content/short/s371/2/441
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10.
Estimating the proportion of immunes in a censored sample
Open Access
Title:
Estimating the proportion of immunes in a censored sample
Author:
MALLER, R. A.
;
ZHOU, S.
MALLER, R. A.
;
ZHOU, S.
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Description:
<sec> An estimator for the proportion of ‘immunes’ in a population is proposed, when a sample of censored failure times is available. Our suggestion is to use one minus the maximum observed value of the KaplanMeier empirical distribution function. This estimator is shown to be consistent and asymptotically normal, under modest conditions on the...
<sec> An estimator for the proportion of ‘immunes’ in a population is proposed, when a sample of censored failure times is available. Our suggestion is to use one minus the maximum observed value of the KaplanMeier empirical distribution function. This estimator is shown to be consistent and asymptotically normal, under modest conditions on the censoring mechanism. Simulations suggest that the estimator is approximately normal for quite small sample sizes, provided the immune proportion is not too close to zero. A simple nonparametric statistic is proposed to test whether the assumptions of the analysis are likely to be valid. </sec>
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Publisher:
Oxford University Press
Year of Publication:
19921201 00:00:00.0
Document Type:
TEXT
Language:
en
Subjects:
Articles
Articles
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Rights:
Copyright (C) 1992, Biometrika Trust
Copyright (C) 1992, Biometrika Trust
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URL:
http://dx.doi.org/10.1093/biomet/79.4.731
http://biomet.oxfordjournals.org/cgi/content/short/79/4/731
http://dx.doi.org/10.1093/biomet/79.4.731
http://biomet.oxfordjournals.org/cgi/content/short/79/4/731
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(93) Maller, J.
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(7) particle identification
(7) photons
(7) pile up
(7) pixel detectors
(7) precision tracking chambers
(7) proton proton collisions
(7) resistive plate chambers
(7) sampling calorimeters
(7) scintillator tiles
(7) solenoidal field
(7) superconducting magnets
(7) taus
(7) thin gap chambers
(7) time over threshold
(7) toroidal field
(7) transition radiation
(7) trigger and data acquisition
(7) vertex measurement
(7) vertexing algorithms
(7) zero degree calorimetry
(6) 60f05
(6) charged particle tracking
(6) cosmic rays
(6) forward calorimetry
(6) heavy ion collisions
(6) high level trigger
(6) humans
(6) longitudinal segmentation
(6) magnetic field measurements
(6) missing transverse energy
(6) phys astr im physique astrophysique...
(6) polymorphism
(6) processor farm
(6) radiation hard electronics
(6) roman pots
(6) sdu astr im planète et univers astrophysique...
(6) silicon micro strip detectors
(6) single nucleotide
(6) tracking algorithms
(6) trigger chambers
(5) astrophysics instrumentation and methods for...
(5) phys hexp physics high energy physics experiment
(4) 60f15
(4) ddc 510
(4) genetic
(4) haplotypes
(4) info eu repo classification ddc 510
(4) phys phys phys ins det physics physics...
(4) settore fis 01 fisica sperimentale
(4) settore fis 04 fisica nucleare e subnucleare
(4) settore fis 05 astronomia e astrofisica
(4) sonderforschungsbereich 386
(4) ultra high energy cosmic rays
(3) 530 physics
(3) 60 probability theory and stochastic processes
(3) 60g50
(3) 60j15
(3) 610 medicine health
(3) astrophysics
(3) center for child and adolescent psychiatry
Subject:
Dewey Decimal Classification (DDC)
(41) Astronomy [52*]
(33) Medicine & health [61*]
(9) Mathematics [51*]
(8) Chemistry [54*]
(5) Physics [53*]
(5) Life sciences; biology [57*]
(4) Science [50*]
(3) Technology [60*]
(2) Statistics [31*]
(2) Economics [33*]
(2) Animals (Zoology) [59*]
(1) Other religions [29*]
(1) Social sciences, sociology & anthropology...
(1) Earth sciences & geology [55*]
Dewey Decimal Classification (DDC):
Year of Publication
(56) 2014
(34) 2012
(34) 2013
(28) 2008
(13) 2010
(11) 2015
(10) 2007
(9) 2005
(6) 1999
(6) 2009
(4) 2000
(4) 2006
(4) 2011
(3) 1974
(3) 1992
(3) 2001
(2) 1988
(2) 1990
(2) 1995
(2) 1998
(2) 2002
(1) 1980
(1) 1983
(1) 1984
(1) 1989
(1) 1994
(1) 1997
(1) 2003
(1) 2004
Year of Publication:
Content Provider
(22) HAL  Hyper Article en Ligne
(16) ArXiv.org
(14) Aachen RWTH: Publications
(13) Groningen Univ.
(13) Manchester Univ.: eScholar Services
(11) CERN (Switzerland)
(10) Archive Artxiker Artxiboa (CCSD)
(10) CiteSeerX
(10) Project Euclid
(10) DUMAS (France)
(10) CCSD: memSIC
(10) RePEc.org
(10) Oxford Univ.: Research Archive (ORA)
(9) HighWire Press
(7) DataCite Metadata Store
(7) Zurich Univ.: ZORA
(6) PubMed Central
(5) Munich TU: mediaTUM
(4) DESY Hamburg
(4) Munich LMU: Open Access
(4) UMass Amherst
(4) Milan Univ.: Archivio Istituzionale della Ricerca
(3) Leicester Univ.
(3) London Univ. College: UCL Discovery
(3) Ghent Univ.
(3) Hong Kong Univ.: HKU Scholars Hub
(3) Manchester Inst. for Mathematical Sciences:...
(3) Nijmegen Univ.
(3) Hong Kong Univ. of Science and Technology
(3) Amsterdam VU: VUDARE
(2) NUMDAM (France)
(2) London King's College: Research Portal
(2) La Trobe Univ., Australia: Research Online
(2) Royal Melbourne Inst. of Tech. (RMIT)
(2) Southampton Univ.: ePrints Soton
(2) Swinburne Univ. of Technology: Research Bank
(2) Cardiff Univ.:ORCA
(1) Indian Academy of Sciences: Publication of Fellows
(1) London St George Univ.: Repository
(1) Lund Univ. Publications (LUP)
(1) Michigan Univ.: Deep Blue
(1) São Paulo Univ.: Intellectual Production
(1) Auckland Univ.
(1) Bath Univ.: OPus
(1) Bern Univ.: BORIS
(1) Dundee Univ.: Online Publications
(1) East Anglia Univ.: Digital Repository
Content Provider:
Language
(157) English
(100) Unknown
Language:
Document Type
(161) Article, Journals
(56) Text
(32) Unknown
(8) Reports, Papers, Lectures
Document Type:
Access
(215) Unknown
(42) Open Access
Access:
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