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1.
A likelihood ratio test for bimodality in twocomponent mixtures with application to regional income distribution in the EU
Title:
A likelihood ratio test for bimodality in twocomponent mixtures with application to regional income distribution in the EU
Author:
Hajo Holzmann
;
Sebastian Vollmer
Hajo Holzmann
;
Sebastian Vollmer
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Description:
Bimodality, Convergence analysis, Crosssectional income distribution, Likelihood ratio test, Finite mixture
Bimodality, Convergence analysis, Crosssectional income distribution, Likelihood ratio test, Finite mixture
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Document Type:
article
URL:
http://hdl.handle.net/10.1007/s1018200800572
http://hdl.handle.net/10.1007/s1018200800572
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RePEc: Research Papers in Economics
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2.
Demand Analysis as an IllPosed Inverse Problem with Semiparametric Specification
Title:
Demand Analysis as an IllPosed Inverse Problem with Semiparametric Specification
Author:
Stefan Hoderlein
;
Hajo Holzmann
Stefan Hoderlein
;
Hajo Holzmann
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In this paper we are concerned with analyzing the behavior of a semiparametric estimator which corrects for endogeneity in a nonparametric regression by assuming mean independence of residuals from instruments only. Because it is common in many applications, we focus on the case where endogenous regressors and additional instruments are jointly ...
In this paper we are concerned with analyzing the behavior of a semiparametric estimator which corrects for endogeneity in a nonparametric regression by assuming mean independence of residuals from instruments only. Because it is common in many applications, we focus on the case where endogenous regressors and additional instruments are jointly normal, conditional on exogenous regressors. This leads to a severely illposed inverse problem. In this setup, we show first how to test for conditional normality. More importantly, we then establish how to exploit this knowledge when constructing an estimator, and we derive results characterizing the large sample behavior of such an estimator. In addition, in a Monte Carlo experiment we analyze the finite sample behavior of the proposed estimator. Our application comes from consumer demand. We obtain new and interesting findings that highlight both the advantages, and the difficulties of an approach which leads to illposed inverse problems. Finally, we discuss the somewhat problematic relationship between nonparametric instrumental variable models, and the recently emphasized issue of unobserved heterogeneity in structural models. ; Instrumental variables; Inverse problem; Nonparametric regression, Consumer Demand, Convergence rates
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Document Type:
preprint
URL:
http://fmwww.bc.edu/ECP/WP752.pdf
http://fmwww.bc.edu/ECP/WP752.pdf
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3.
Likelihood Ratio Testing for Hidden Markov Models Under Nonstandard Conditions
Title:
Likelihood Ratio Testing for Hidden Markov Models Under Nonstandard Conditions
Author:
JÖRN DANNEMANN
;
HAJO HOLZMANN
JÖRN DANNEMANN
;
HAJO HOLZMANN
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Description:
In practical applications, when testing parametric restrictions for hidden Markov models (HMMs), one frequently encounters nonstandard situations such as testing for zero entries in the transition matrix, onesided tests for the parameters of the transition matrix or for the components of the stationary distribution of the underlying Markov cha...
In practical applications, when testing parametric restrictions for hidden Markov models (HMMs), one frequently encounters nonstandard situations such as testing for zero entries in the transition matrix, onesided tests for the parameters of the transition matrix or for the components of the stationary distribution of the underlying Markov chain, or testing boundary restrictions on the parameters of the statedependent distributions. In this paper, we briefly discuss how the relevant asymptotic distribution theory for the likelihood ratio test (LRT) when the true parameter is on the boundary extends from the independent and identically distributed situation to HMMs. Then we concentrate on discussing a number of relevant examples. The finitesample performance of the LRT in such situations is investigated in a simulation study. An application to series of epileptic seizure counts concludes the paper. Copyright (c) Board of the Foundation of the Scandinavian Journal of Statistics 2008.
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Document Type:
article
URL:
http://www.blackwellsynergy.com/doi/abs/10.1111/j.14679469.2007.00587.x
http://www.blackwellsynergy.com/doi/abs/10.1111/j.14679469.2007.00587.x
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4.
Integrated Square Error Asymptotics for Supersmooth Deconvolution
Title:
Integrated Square Error Asymptotics for Supersmooth Deconvolution
Author:
HAJO HOLZMANN
;
LEIF BOYSEN
HAJO HOLZMANN
;
LEIF BOYSEN
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Description:
We derive the asymptotic distribution of the integrated square error of a deconvolution kernel density estimator in supersmooth deconvolution problems. Surprisingly, in contrast to direct density estimation as well as ordinary smooth deconvolution density estimation, the asymptotic distribution is no longer a normal distribution but is given by ...
We derive the asymptotic distribution of the integrated square error of a deconvolution kernel density estimator in supersmooth deconvolution problems. Surprisingly, in contrast to direct density estimation as well as ordinary smooth deconvolution density estimation, the asymptotic distribution is no longer a normal distribution but is given by a normalized chisquared distribution with 2 d.f. A simulation study shows that the speed of convergence to the asymptotic law is reasonably fast. Copyright 2006 Board of the Foundation of the Scandinavian Journal of Statistics.
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Document Type:
article
URL:
http://www.blackwellsynergy.com/doi/abs/10.1111/j.14679469.2006.00517.x
http://www.blackwellsynergy.com/doi/abs/10.1111/j.14679469.2006.00517.x
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5.
Twin Peaks or Three Components?  Analyzing the World\'s CrossCountry Distribution of Income
Title:
Twin Peaks or Three Components?  Analyzing the World\'s CrossCountry Distribution of Income
Author:
Hajo Holzmann
;
Sebastian Vollmer
;
Julian Weisbrod
Hajo Holzmann
;
Sebastian Vollmer
;
Julian Weisbrod
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In this paper we analyze the world´s crossnational distribution of income and its evolution from 1970 to 2003. We argue that modeling this distribution by a finite mixture and investigating its number of components has advantages over nonparametric inference concerning the number of modes. In particular, the number of components of the distribu...
In this paper we analyze the world´s crossnational distribution of income and its evolution from 1970 to 2003. We argue that modeling this distribution by a finite mixture and investigating its number of components has advantages over nonparametric inference concerning the number of modes. In particular, the number of components of the distribution does not depend on the scale chosen (original or logarithmic), whereas the number of modes does. Instead of socalled twinpeaks, we find that the distribution appears to have only two components in 19701975, but consists of three components from 1976 onwards, a low, average and high meanincome group, with group means diverging over time. Here we apply recently developed modified likelihood ratio tests for the number of components in a finite mixture. The intra distributional dynamics are investigated in detail using posterior probability estimates. ; crossnational income distribution; mixture models; modified likelihood ratio test; nonparametric density estimation
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Document Type:
preprint
URL:
http://www2.vwl.wiso.unigoettingen.de/ibero/papers/DB162.pdf
http://www2.vwl.wiso.unigoettingen.de/ibero/papers/DB162.pdf
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6.
Income Distribution Dynamics and ProPoor Growth in the World from 1970 to 2003
Title:
Income Distribution Dynamics and ProPoor Growth in the World from 1970 to 2003
Author:
Hajo Holzmann
;
Sebastian Vollmer
;
Julian Weisbrod
Hajo Holzmann
;
Sebastian Vollmer
;
Julian Weisbrod
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Description:
We estimate and analyze the global income distribution from national lognormal income distributions for the years 1970 to 2003, as well as the income distribution of seven regional subsamples. From these distributions we obtain measures for global and regional inequality and poverty, and find decreasing global poverty and inequality during the ...
We estimate and analyze the global income distribution from national lognormal income distributions for the years 1970 to 2003, as well as the income distribution of seven regional subsamples. From these distributions we obtain measures for global and regional inequality and poverty, and find decreasing global poverty and inequality during the time period. By decomposing inequality into within and between country inequality using Theils’ measure of inequality, we observe declining inequality between countries whereas overall inequality within countries increased. Furthermore, we calculate growth incidence curves for five year periods between 1970 and 2003, as well as a growth incidence curve for the entire period and corresponding rates of propoor growth. In the global income distribution, the 8.5th to 63.5th global income percentiles experienced above average percentile growth rates, while the remaining very lowest quantiles experienced also the lowest percentile growth rates. Using the regional decomposition we find that while in 1970 more than half of the worlds extreme poor and poor people lived in East Asia, it is SubSaharan Africa where nowadays two thirds of the extreme poor and half of the worlds poor live. ; Global income distribution, poverty, inequality, growth incidence curves, propoor growth convergence
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Document Type:
preprint
URL:
http://www2.vwl.wiso.unigoettingen.de/ibero/papers/DB161.pdf
http://www2.vwl.wiso.unigoettingen.de/ibero/papers/DB161.pdf
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7.
Identifiability of Finite Mixtures of Elliptical Distributions
Title:
Identifiability of Finite Mixtures of Elliptical Distributions
Author:
HAJO HOLZMANN
;
AXEL MUNK
;
TILMANN GNEITING
HAJO HOLZMANN
;
AXEL MUNK
;
TILMANN GNEITING
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Description:
We present general results on the identifiability of finite mixtures of elliptical distributions under conditions on the characteristic generators or density generators. Examples include the multivariate "t"distribution, symmetric stable laws, exponential power and Kotz distributions. In each case, the shape parameter is allowed to vary in the ...
We present general results on the identifiability of finite mixtures of elliptical distributions under conditions on the characteristic generators or density generators. Examples include the multivariate "t"distribution, symmetric stable laws, exponential power and Kotz distributions. In each case, the shape parameter is allowed to vary in the mixture, in addition to the location vector and the scatter matrix. Furthermore, we discuss the identifiability of finite mixtures of elliptical densities with generators that correspond to scale mixtures of normal distributions. Copyright 2006 Board of the Foundation of the Scandinavian Journal of Statistics.
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Document Type:
article
URL:
http://www.blackwellsynergy.com/doi/abs/10.1111/j.14679469.2006.00505.x
http://www.blackwellsynergy.com/doi/abs/10.1111/j.14679469.2006.00505.x
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8.
Perspectives on the World Income Distribution  Beyond Twin Peaks Towards Welfare Conclusions
Title:
Perspectives on the World Income Distribution  Beyond Twin Peaks Towards Welfare Conclusions
Author:
Hajo Holzmann
;
Sebastian Vollmer
;
Julian Weisbrod
Hajo Holzmann
;
Sebastian Vollmer
;
Julian Weisbrod
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Description:
This paper contributes towards the growing debate concerning the world distribution of income and its evolution over that past three to four decades. Our methodological approach is twofold. First, we formally test for the number of modes in a crosssectional analysis where each country is represented by one observation. We contribute to existing...
This paper contributes towards the growing debate concerning the world distribution of income and its evolution over that past three to four decades. Our methodological approach is twofold. First, we formally test for the number of modes in a crosssectional analysis where each country is represented by one observation. We contribute to existing studies with technical improvements of the testing procedure, enabling us to draw new conclusions, and an extension of the time horizon being analyzed. Second, we estimate a global distribution of income from national lognormal distributions of income, as well as a global distribution of logincome as a mixture of national normal distributions of logincome. From this distribution we obtain measures for global inequality and poverty as well as global growth incidence curves. ; Convergence, Silverman\'s test, nonparametric statistics, bimodal, global income distribution, poverty, inequality, growth incidence curves
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Document Type:
preprint
URL:
http://wwwuser.gwdg.de/~fjohann/paper/DB158.pdf
http://wwwuser.gwdg.de/~fjohann/paper/DB158.pdf
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9.
Testing for Image Symmetries – with Application to Confocal Microscopy
Open Access
Title:
Testing for Image Symmetries – with Application to Confocal Microscopy
Author:
Nicolai Bissantz
;
Hajo Holzmann
Nicolai Bissantz
;
Hajo Holzmann
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Description:
Statistical tests are introduced for checking whether an image function f(x,y) defined on the unit disc D = {(x,y) : x 2 + y 2 ≤ 1} is invariant under certain symmetry transformations of D, given that discrete and noisy data are observed. We consider invariance under reflections or under rotations by rational angles, as well as joint invariance ...
Statistical tests are introduced for checking whether an image function f(x,y) defined on the unit disc D = {(x,y) : x 2 + y 2 ≤ 1} is invariant under certain symmetry transformations of D, given that discrete and noisy data are observed. We consider invariance under reflections or under rotations by rational angles, as well as joint invariance under both reflections and rotations. Furthermore, we propose a test for rotational invariance of f(x,y), i.e., for checking whether f(x,y), after transformation to polar coordinates, only depends on the radius and not on the angle. These symmetry relations can be naturally expressed as restrictions for the Zernike moments of the image function f(x,y), i.e., the Fourier coefficients with respect to the Zernike orthogonal basis. Therefore, our test statistics are based on checking whether the estimated Zernike coefficients approximately satisfy those restrictions. This is carried out by forming the L2 distance between the image function and its transformed version obtained by some symmetry transformation. We derive the asymptotic distribution of the test statistics under both the hypothesis of symmetry as well as under fixed alternatives. Furthermore, we investigate the quality of the asymptotic approximations via simulation studies. The usefulness our theory is verified by examining an important problem in confocal microscopy, i.e., we investigate possible imprecise alignments in the optical path of the microscope. For optical systems with rotational symmetry, the theoretical pointspreadfunction (PSF) is reflection symmetric with respect to two orthogonal axes, and rotationally invariant if the detector plane matches the optical plane of the microscope. We use our tests to investigate whether the required symmetries can indeed be detected in the empirical PSF.
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Contributors:
The Pennsylvania State University CiteSeerX Archives
Year of Publication:
20130812
Source:
http://www.statistik.tudortmund.de/fileadmin/user_upload/Lehrstuehle/MSind/SFB_475/2008/tr1808.pdf
http://www.statistik.tudortmund.de/fileadmin/user_upload/Lehrstuehle/MSind/SFB_475/2008/tr1808.pdf
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Document Type:
text
Language:
en
Subjects:
3
3
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DDC:
515 Analysis
(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=10.1.1.324.3402
http://www.statistik.tudortmund.de/fileadmin/user_upload/Lehrstuehle/MSind/SFB_475/2008/tr1808.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.324.3402
http://www.statistik.tudortmund.de/fileadmin/user_upload/Lehrstuehle/MSind/SFB_475/2008/tr1808.pdf
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10.
Testing for Image Symmetries – with Application to Confocal Microscopy
Open Access
Title:
Testing for Image Symmetries – with Application to Confocal Microscopy
Author:
Nicolai Bissantz
;
Hajo Holzmann
Nicolai Bissantz
;
Hajo Holzmann
Minimize authors
Description:
Statistical tests are introduced for checking whether an image function f(x,y) defined on the unit disc D = {(x,y) : x 2 + y 2 ≤ 1} is invariant under certain symmetry transformations of D, given that discrete and noisy data are observed. We consider invariance under reflections or under rotations by rational angles, as well as rotational invari...
Statistical tests are introduced for checking whether an image function f(x,y) defined on the unit disc D = {(x,y) : x 2 + y 2 ≤ 1} is invariant under certain symmetry transformations of D, given that discrete and noisy data are observed. We consider invariance under reflections or under rotations by rational angles, as well as rotational invariance of f(x,y). These symmetry relations can be naturally expressed as restrictions for the Zernike moments of the image function f(x,y). Therefore, our test statistics are based on the L2 distance between Zernike series estimates of the image function and its transformed version obtained by some symmetry transformation. We derive the asymptotic distribution of the test statistics under both the hypothesis of symmetry as well as under fixed alternatives. Furthermore, we investigate the quality of the asymptotic approximations via simulation studies. The usefulness our theory is verified by examining an important problem in confocal microscopy, i.e., we investigate possible imprecise alignments in the optical path of the microscope. For optical systems with rotational symmetry, the theoretical pointspreadfunction (PSF) is reflection symmetric with respect to two orthogonal axes, and rotationally invariant if the detector plane matches the optical plane of the microscope. We use our tests to investigate whether the required symmetries can indeed be detected in the empirical PSF. Index Terms: image symmetry, symmetry detection, nonparametric estimation, Zernike moments, nanoscale bioimaging, pointspreadfunction
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Year of Publication:
20130812
Source:
http://www.stochastik.math.unigoettingen.de/preprints/regression disc final.pdf
http://www.stochastik.math.unigoettingen.de/preprints/regression disc final.pdf
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Document Type:
text
Language:
en
DDC:
531 Classical mechanics; solid mechanics
(computed)
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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=10.1.1.324.4184
http://www.stochastik.math.unigoettingen.de/preprints/regression disc final.pdf
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.324.4184
http://www.stochastik.math.unigoettingen.de/preprints/regression disc final.pdf
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Author
(68) Holzmann, Hajo
(30) Bissantz, Nicolai
(23) Hajo Holzmann
(18) The Pennsylvania State University CiteSeerX...
(15) Vollmer, Sebastian
(12) Munk, Axel
(8) Axel Munk
(8) Ketterer, Florian
(7) Klasen, Stephan
(7) Weisbrod, Julian
(6) Sebastian Vollmer
(5) Nicolai Bissantz
(4) Biedermann, Stefanie
(4) Birke, Melanie
(4) Dümbgen, Lutz
(4) HAJO HOLZMANN
(4) Holzmann, Hajo (Prof. Dr.)
(4) Min, Aleksey
(4) Pawlak, Mirosław
(4) Steland, Ansgar
(3) Alexandrovich, Grigory
(3) Balabdaoui, Fadoua
(3) Bissantz, Kathrin
(3) Czado, Claudia
(3) Florian Ketterer
(3) Hoderlein, Stefan
(3) Julian Weisbrod
(3) Pawlak, Miroslaw
(3) Walter Zucchini
(2) AXEL MUNK
(2) Canning, David
(2) Chernozhukov, Victor
(2) Eulert, Matthias
(2) Eva Nagel
(2) Hajo (dgtnst) Munk
(2) Hohmann, Daniel
(2) Holzmann Hajo (dgtnst
(2) Nagel, Eva
(2) Nagel, EvaRenate
(2) Newey, Whitney
(2) Nicolai (dgtnst) Holzmann
(2) Proksch, Katharina
(2) Stefan Hoderlein
(2) Stefanie Biedermann
(2) Stephan Klasen
(1) ANSGAR STELAND
(1) Aleksey Min
(1) Bissantz, Nicolai; JFA; CORA; Claeskens, Gerda;...
(1) Canning, David J.
(1) Claeskens, Gerda
(1) Claudia Czado
(1) Dannemann, Jorn
(1) Dannemann, Jörn
(1) Denker, Manfred
(1) Denker, Manfred Prof. Dr.
(1) EVA NAGEL
(1) FernandezVal, Ivan
(1) FernándezVál, Ivan
(1) Gerda Claeskens
(1) JÖRN DANNEMANN
(1) Jörn Dannemann
(1) Koch, Susanne
(1) LEIF BOYSEN
(1) Lausen, Berthold
(1) Lutz Dümbgen
(1) Ray, Surajit
(1) Regression Models With
(1) STEFANIE BIEDERMANN
(1) Schwaiger, Florian
(1) Statistik Praktikum
(1) Susanne Koch
(1) TILMANN GNEITING
(1) Ultsch, Alfred
(1) Van den Poel, Dirk
Author:
Subject
(15) ddc 510
(10) ddc 330
(9) asymptotic normality
(9) deconvolution
(7) ddc 310
(6) o47
(5) einkommensverteilung
(5) entwicklungskonvergenz
(5) nanoscale bioimaging
(5) nonparametric estimation
(5) nonparametric regression
(5) welt
(4) ddc 004
(4) mixture models
(4) model selection
(4) wirtschaftswachstum
(3) armut
(3) bootstrap
(3) confidence interval
(3) distribution dynamics
(3) f01
(3) finite mixture
(3) germany
(3) heat equation
(3) image symmetry
(3) inverse problem
(3) inverse problems
(3) likelihood ratio test
(3) modality
(3) non parametric regression
(3) r11
(3) radon transform
(3) regional convergence
(3) schätzung
(3) statistical inference
(3) statistical inverse problem
(3) symmetry detection
(2) 3
(2) 31 35
(2) 31 70
(2) 42001
(2) association tests
(2) bandwidth
(2) c12
(2) c5
(2) characteristic function
(2) confidence band
(2) confidence bands
(2) confocal microscopy
(2) contingency tables
(2) convergence
(2) dependent data
(2) electrophysiology
(2) f0
(2) goodness of fit
(2) hidden markov model
(2) i3
(2) image analysis
(2) it is upper triangular with nowhere vanishing...
(2) kernel method
(2) likelihood quotienten test
(2) linear regression
(2) membrane pore protein
(2) mode
(2) model validation
(2) mr0978387 90c
(2) nonparametric density estimation
(2) o0
(2) o11
(2) point spread function
(2) rate of convergence
(2) reflection symmetry
(2) risk measures
(2) semiparametric estimation
(2) single channel current
(2) sozialprodukt
(2) statistics applications
(2) two dimensional functions
(2) unification
(2) zernike moments
(2) zernike polynomials
(1) 410
(1) 510 mathematik
(1) 519
(1) 62g05
(1) 62g20
(1) 62g99
(1) 62m99
(1) almost sure limit theorem
(1) alte bundesländer
(1) applied mathematics
(1) astrophysic
(1) asymptotische normalität
(1) average effect
(1) band limited signal
(1) bandwidth selection
(1) bimodal
(1) bimodality convergence analysis cross sectional...
(1) central limit theorem
(1) conditional mixture
Subject:
Dewey Decimal Classification (DDC)
(22) Mathematics [51*]
(18) Economics [33*]
(16) Statistics [31*]
(5) Computer science, knowledge & systems [00*]
(1) Physics [53*]
(1) Engineering [62*]
Dewey Decimal Classification (DDC):
Year of Publication
(16) 2013
(11) 2010
(10) 2007
(8) 2014
(7) 2008
(6) 2011
(5) 2006
(4) 2009
(2) 2005
(2) 2015
(1) 2004
Year of Publication:
Content Provider
(29) RePEc.org
(18) CiteSeerX
(14) EconStor
(12) Bochum Univ. (RUB): Campus Research Bibliography
(5) Dortmund TU: Eldorado
(4) ArXiv.org
(4) Marburg Univ.: Publications
(3) Project Euclid
(3) Göttingen Univ.: GoeScholar
(1) Göttingen Univ.: GOEDOC
(1) Harvard Univ.: DASH
(1) Kyoto Univ.: Research Information Repository
(1) Munich LMU: Open Access
(1) PubMed Central
(1) Aachen RWTH: Publications
(1) Springer Open Choice
(1) Göttingen Univ.: eDiss
(1) Glasgow Univ.
(1) Bern Univ.: BORIS
(1) ParisDauphine Univ.: Basepub
(1) Leuven KU: Lirias
Content Provider:
Language
(69) English
(34) Unknown
(1) German
Language:
Document Type
(43) Text
(38) Article, Journals
(16) Reports, Papers, Lectures
(5) Theses
(1) Books
(1) Unknown
Document Type:
Access
(53) Unknown
(51) Open Access
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