- Type of paper
: Paper in book
Title: Some irregular derivative sampling theorems
- Authors:
- Poganj, Tibor (159666)
- Editors
- Butković, D.
- Kraljević, H.
- Peskir, G.
Publisher: Matematisk Institut, Aarhus Universitet
ISBN: ISSN0065-0188
Year: 1994
Pages: from 205 to 219
Number of references: 8
Language: engleski
Summary: In the paper certain irregular derivative sampling theorems
are presented for weakly stationary band-limited stochastic signals,
following the approach by Higgins in the sampling reconstruction of
deterministic signals and the approach given by Seip for stationary
stochastic signals. On this way the equidistantly sampled cardinal series
approximation results are generalized to the irregular sampling, involved
the derivative sampling case. Truncation error upper bounds are derived and
certain older results, as the special cases of ours are discussed.
Keywords: Band-limited signals, Derivative sampling, Irregular sampling, Time-jitter error, Truncation error, Exponential type entire functions.
Other: AMS Subject Classification Number: Primary - 60 G 10, 60 G
99, Secondary - 94 A 05, 41 A 05.
- Type of paper
: Paper in journal
Title: Sharp truncation error upper bound in the sampling
reconstruction of homogeneous random fields
- Authors:
- Poganj, Tibor (159666)
Journal: Statistics and Probability Letters
Number: 5
ISSN: 0167-7152
Volume: 15
Year: 1992
Pages: from 345 to 348
Number of references: 6
Language: engleski
Summary: An arbitrarily sharp upper bound is established for the
magnitude of the mean - square truncation error in the sampling expansion
of a band - limited homogeneous random field. As a main tool, the Bernstein
bound on the remainder of the symmetric complex Fourier series of the
function exp(itx) is introduced. As a simple consequence of the derived
result, the convergence rate is ordered in the almost sure sampling
reconstruction.
Keywords: Homogeneous random fields, Band - limited signals, Mean - square truncation error, Almost sure sampling truncation error.
- Type of paper
: Paper in journal
Title: On the strong quasiconvexity of quotient, product and
composite function
- Authors:
- Poganj, Tibor (159666)
- Jovanović, Milan
Journal: Szigma
Number: 1
ISSN: 0039-8128
Volume: 23
Year: 1992
Pages: from 7 to 16
Number of references: 15
Language: mađarski
Summary: The characterization of convexity - as well as pseudo- and
quasiconvexity - of the composite, product and quotient functions is
well-known. These results are generalized in this paper for strongly convex
and strongly quasiconvex case. We prove, among others, that (i) the
quotient of a non-negative, strongly convex and a positive, bounded concave
function is strongly quasiconvex; (ii) the product of a non-positive,
strongly convex function and a concave function with positive lower bound
is strongly qausiconvex. These results are illustrated by many examples,
e.g. for (i) we examine the arithmetic and geometrical means over a convex,
compact subset of R(n).
Keywords: Convexity, pseudoconvexity, quasiconvexity, strong convexity,strong quasiconvexity, fractional programming, nonlinear programming, hyperbolical programming, affine functions.
- Type of paper
: Paper in journal
Title: Bandwidth estimation in the sampling theorems
- Authors:
- Poganj, Tibor (159666)
Journal: Metodološki Zvezki
Number: 1
ISSN: 1318-1726
Volume: 9
Year: 1992
Pages: from 65 to 73
Number of references: 18
Language: engleski
Summary: The spectral representation of the Shannon - Kotel'nikov
sampling cardinal series expansion (SCSE) of non - bandlimited (NBL)
stochastic signals were presented in some earlier papers by the author.
This result gives the main tool in deriving the optimal value of the
bandwidth in the approximation of the NBL stochastic signal by a sampling
series of a BL signal such that it possesses the same spectral process. In
this paper the Brown aliasing error upper bound is extended to the NBL
multidimensional stochastic processes and to the NBL homogeneous random
fields. The magnitude of the derived bound is ordered under some smoothness
condition upon the random field. Finally some statistical interpretations
and methods are presented in the Shannon-Kotel'nikov discretization
procedure for the stochastic signals.
Keywords: Weakly stationary scalar and multidimensional processes, Homogeneous random fields, Sampling cardinal series expansion, Spectral representation, Aliasing error, Bandlimited and non-band -limited signals, Brown's upper bound.
- Type of paper
: Paper in journal
Title: On the spectral representation of the sampling cardinal
series expansion of weakly stationary stochastic processes
- Authors:
- Poganj, Tibor (159666)
Journal: Stochastica
Number: 1
ISSN: 0210-7821
Volume: XIII
Year: 1992
Pages: from 89 to 100
Number of references: 9
Language: engleski
Summary: The spectral representation of the sampling cardinal series
expansion of non-band-limited weakly stationary scalar and vector
stochastic processes and their correlation functions are derived. The upper
bound of the matrix mean-square aliasing error is given for vector
processes.
Keywords: Vectorial stochastic processes, Matrix aliasing error, Spectral representation, Brown upper bound, samplinf cardinal series expansion.
- Type of paper
: Paper in journal
Title: Almost sure sampling reconstruction of non-band-limited
homogeneous random fields
- Authors:
- Poganj, Tibor (159666)
Journal: Publications de l'Institute Math‚matique (Beograd)(N.S.)
Number: 2
ISSN: 0350-1302
Volume: 49
Year: 1991
Pages: from 221 to 232
Number of references: 22
Language: engleski
Summary: Almost sure convergence problems of sampling partial (and
cardinal) expansion sum sequence are discussed for non-band-limited
homogeneous random fields with not necessarily continuous spectral
distribution function.
Keywords: Homogeneous random fields, mean-square convergence, almost sure convergence, sampling theorem.
- Type of paper
: Paper in proceedings
Title: Efficiency analysis of truncation error bounds
- Authors:
- Poganj, Tibor (159666)
- Editors
- Stanojević, Radoslav
- Vuleta, Jovo
Proceedings title: Zbornik radova SYM-OP-IS'91
Language: engleski
Place: Beograd, SFR Jugoslavija
Year: 1991
Pages: from 249 to 252
Meeting: XVIII Jugoslovenski simpozijum za operaciona istraživanja
Held: from 10/08/91 to 10/11/91
Summary: In the paper are listed, considered and compared some
truncation error upper bounds in the finite mean - square and almost sure
sampling approximation of the band - limited weakly stationary stochastic
processes.
Keywords: Lebesgue constants, finite sampling, truncation error, mean - square approximation, almost sure approximation.
Other: AMS Subject Classification Number: 60 G 10, 60 G 99.
- Type of paper
: Paper in proceedings
Title: On the perfect linear prediction of bandlimited stationary
processes
- Authors:
- Poganj, Tibor (159666)
- Editors
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: Zbornik radova KOI'91
Language: engleski
Place: Zagreb
Year: 1991
Pages: from 259 to 264
Meeting: 1. Konferencija iz operacijskih istraživanja
Held: from 12/25/91 to 12/26/91
Summary: In the paper a new proof is presented for the Brown result
in the suboptimal estimation of the bandlimited weakly stationary
stochastic process by some discretization procedure.
Keywords: Linear prediction, Suboptimal prediction, Bandlimited weakly stationary stochastic processes.
Other: AMS Subject Classification Number: 62 J 02
- Type of paper
: Paper in proceedings
Title: On the suboptimal prediction of homogeneous random fields
- Authors:
- Poganj, Tibor (159666)
- Editors
- Martić, Ljubomir
- Neralić, Luka
- Bahovec, Vlasta
Proceedings title: Zbornik radova KOI'92
Language: engleski
Place: Zagreb
Year: 1992
Pages: from 177 to 183
Meeting: 2. Konferencija iz operacijskih istraživanja
Held: from 10/05/92 to 10/07/92
Summary: Some linearization methods are proposed in the suboptimal
linear prediction of bandlimited homogeneous random fields concerning the
one-dimensional results in this estimation problem.
Keywords: Linear prediction, Bandlimited homogeneous random fields, Suboptimal prediction.
Other: AMS Subject Classification Number: 60 G 60, 60 F 25.
- Type of paper
: Paper in proceedings
Title: On the error - free polynomial regression model I.
- Authors:
- Poganj, Tibor (159666)
- Tudor, Mato
- Editors
- Martić, Ljubomir
- Neralić, Luka
- Pašagić, Husein
Proceedings title: Zbornik radova KOI'93
Language: engleski
Place: Zagreb
Year: 1993
Pages: from 207 to 216
Meeting: 3. Konferencija iz operacijskih istraživanja
Held: from 10/05/93 to 10/07/93
Summary: In the article an error - free polynomial regression model
is proposed. Uniqueness, exitence problems and geometrical interpretations
are discussed. The 'best' regression polynomial is ordered in few sense.
Some applications and an example are presented at the end of the article.
Keywords: Error - free regression, Polynomial regression, Centre of gravity for samples, Nearest neighbour method, Coefficients mean method.
Other: AMS Subject Classification Number: 62 J 02.
- Type of paper
: Paper in proceedings
Title: On the error - free polynomial regression model II. (Least
squares estimation under error - free condition)
- Authors:
- Poganj, Tibor (159666)
- Editors
- Martić, Ljubomir
- Neralić, Luka
- Pašagić, Husein
Proceedings title: Zbornik radova KOI'93
Language: mađarski
Place: Zagreb
Year: 1993
Pages: from 201 to 206
Meeting: 3. Konferencija iz operacijskih istraživanja
Held: from 10/05/93 to 10/07/93
Summary: In this paper we are interested in the Least Squares
Estimation of the regression polynomial under error - free compensation
condition (1.1), given in the part I. of the article. It is shown that this
approach gives the same LS estimation error as the usual one.
Keywords: Least squares method, Polynomial regression.
Other: AMS Subject Classification Number: 62 J 02
- Type of paper
: Paper in proceedings
Title: On the parameter shift influence to the total waiting time
in the M/M/S/infinity queueing system I.
- Authors:
- Poganj, Tibor (159666)
- Editors
- Čerić, V.
- Hljuz-Dobrić, Vesna
Proceedings title: Proceedings of the 16th Intern. Conf. ITI'94
Language: engleski
Place: Zagreb
Year: 1994
ISBN/ISSN: 1330-1012
Pages: from 391 to 395
Meeting: 16th International Conference on Information Technology Interfaces, ITI'94
Held: from 06/14/94 to 06/17/94
Summary: The increment of certain k-fold differentiable function )on
an interval I) is estimated for infinitesimal shift of the argument;
accordingly the Lagrangeian coefficient is evaluated when k derivatives are
used of the considered as well as the function itself at some inner point
of I. With the aid of these pricipal tools small parameter shift influences
to the toal waiting time function are presented in the M/M/S/infinity
queueing system.
Keywords: Lagrange coefficients, Lagrange theorem, M/M/S/infinity queueing system, Total waiting time, utilization factor.
Other: AMS Subject Classification Number: 41 A 99, 60 K 25.
- Type of paper
: Paper in proceedings
Title: On the parameter shift influence to the total waiting time
in the M/M/S/infinity queueing system II.
- Authors:
- Poganj, Tibor (159666)
- Zenzerović, Zdenka (54761)
- Editors
- Čerić, V.
- Hljuz-Dobrić, Vesna
Proceedings title: Proceedings of the 16th Internat. Conference ITI'94
Language: engleski
Place: Zagreb
Year: 1994
ISBN/ISSN: 1330-1012
Pages: from 397 to 402
Meeting: 16th International Conference on Information Technology Interfaces, ITI'94
Held: from 06/14/94 to 06/17/94
Summary: In the second part of the paper the influence of the little
shifts on the parameters - average arrival rate, average service rate,
number of channels to the toal waiting time function is discussed in the
M/M/S/infinity queueing system. The results of part I. of the recent
article are incorporated to the framework of the considerations. The
estimates of the increments of the total waiting time are listed for
certain parameter shifts. Finally, a numerical example illustrates the
exposed matter.
Keywords: Total waiting time, average arrival rate, average service rate, number of channels.
Other: AMS Subject Classification Number: 60 K 25.
- Type of paper
: Paper in proceedings
Title: Planning of the experiments in the signal restoration from
irregularly spaced data I.
- Authors:
- Poganj, Tibor (159666)
- Editors
- Hunjak, Tihomir
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: Proceedings of the KOI'94
Language: engleski
Place: Zagreb
Year: 1994
Pages: from 94 to 102
Meeting: 4. Konferencija iz opracisjkih istraživanja KOI'94
Held: from 10/04/94 to 10/06/96
Summary: The sampling theorem enables a band-limited signal to be
expressed in terms of a set of sample point values, which occur at the
Nyquist rate. The sampling theorem has been generalized to include
irregular sampling (Higgins, Seip), and the use of derivatives of the
signal (Higgins, Pog ny). Our main goal is to adapt certain already
obtained very broad results, such that are derived for the exponentially
bounded signals, with Schwartz base functions in the general order
irregular-derivative sampling (Pog ny) to some practical problems, e.g. to
the derivation of the optimal value of measurements of signal from
irregularly spaced data with given approximation error level.
Keywords: Irregular sampling, Truncation error, Experiment design size.
Other: AMS Subject Classification Number: 41 A 05, 41 A 99.
- Type of paper
: Paper in proceedings
Title: Planning of the experiments in the signal restoration from
irregularly spaced data II.
- Authors:
- Poganj, Tibor (159666)
- Tudor, Mato
- Editors
- Hunjak, Tihomir
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: Proceedings of the KOI'94
Language: engleski
Place: Zagreb
Year: 1994
Pages: from 103 to 111
Meeting: 4. Konferencija iz opracisjkih istraživanja KOI'94
Held: from 10/04/94 to 10/06/94
Summary: Following the matter od the firts part of the paper the
question of the signal restoration is discussed upon irregularly spaced
data. We obtained the minimal experiment design size, the set of
measurements of the considered signal and the evaluation of some parameters
of our model, precisely the bandwidth w. Some examples are presented and
discussed in detail.
Keywords: Irregular sampling, Truncation error, Experiment design size, Bandwidth, Total energy of the signal.
Other: AMS Subject Classification Number: 41 A 05, 41 A 99.
- Type of paper
: Paper in proceedings
Title: On the generalized logarithmic mean
- Authors:
- Poganj, Tibor (159666)
- Tudor, Mato
- Editors
- Hunjak, Tihomir
- Martić, Ljubomir
- Neralić, Luka
Proceedings title: Proceedings of the KOI'95
Language: engleski
Place: Zagreb
Year: 1995
Pages: from 145 to 152
Meeting: 5. Konferencija iz opracijskih istraživanja, KOI'95
Held: from 10/03/95 to 10/05/95
Summary: Various simple results are presented on the interpolation
of the well-known "min HGA max" inequalities by the Toader's exponential
mean and by Stolarsky's generalized logarithmic mean. Software is developed
to presenting the behaviour of these interpolation procedures. The strong
convexity (concavity) of the generalized logarithmic mean is investigated
for the Karmanov's optimization problem.
Keywords: Exponential mean, AGH-means, Generalized logarithmoc mean, strong convexity (concavity).
- Type of paper
: Mentorship
Title: Optimization models of planning sea port capacity
Faculty: Ekonomski fakultet u Rijeci
Mentor: POGANJ TIBOR
Date of defense: 05/15/95
Number of pages: 310
Author: Zenzerović Zdenka
Degree level: Ph.D.
