Pliska Studia Mathematica Bulgarica
Volume 14, 2003
Proceedings of the Seminar on Statistical Data Analysis, Varna,
2003
GUEST EDITOR: D. Vandev
C O N T E N T S
- Atanasov, D. About the Concept of Weights of
WLTE(k) Estimators (pp. 5-14)
- Atanasov, D., Prodanova, K. and Terziiski, D. Risk
Factors of Central Venous Catheter Related Infections in Intensive
Care Patients (pp. 15-22)
- Avrachenkov, K. E., Shevlyakov, G. L., Vilchevski
N. O. Randomized push-out mechanisms in priority queueing and
their probability characteristics (pp. 23-36)
- Batchvarov, V., Marinova, G., Mateev, P.,
Christozov, D. An application of ISO 5725 in Brewing Industry
(pp. 37-44)
- Gurov, T.V., Dimov, I.T., Nedjalkov, M. A
Stochastic approach for investigation ultrafast phenomena in
semiconductors (pp. 45-58)
- Filzmoser,P., Croux, C. Dimension Reduction of
the Explanatory Variables in Multiple Linear Regression (pp. 59-70)
- Kharin, Yu., Maevskiy, V. Local-median method of
forecasting for regression time series under outliers (pp. 71-80)
- Mateev, P. Stoimenova, E. Generalized Scaling
Factor for Estimating the Activity Concentrations of
Difficult-to-measure nuclides (pp. 81-90)
- Neykov, N., Neytchev, P., Zucchini, W. Detecting precipitation
climate changes: An approach based on a
stochastic daily precipitation model (pp. 91-106)
- Papancheva, R.J., Gurov, T.V. Dimov, I.T. Monte
Carlo study of particle transport problem in air pollution
(pp. 107-116)
A B S T R A C T S
ABOUT THE CONCEPT OF WEIGHTS OF WLTE(K) ESTIMATORS
Dimitar Atanasov datanasov@fmi.uni-sofia.bg
1991 Mathematics Subject Classification:62F35, 62F15.
Key words: Robust statistics, WLT Estimators, Bayes Estimator.
The concept for trimming and weighing the terms in the Method of
Maximum Likelihood gives us a very flexible and useful way to
improve the robustness of MLE. Till now the studies were focused
mainly on the trimming factor. The theory of d-fullness gives us a
powerful method to determine this property in the cases of WLTE,
MLE and LTE. The aim of this study is to consider the weights of the WLTE
estimators and to compare the results obtained by using different
algorithms for calculating weights.
RISK FACTORS OF CENTRAL VENOUS CATHETER RELATED
INFECTIONS IN INTENSIVE CARE PATIENTS
Dimitar Atanasov datanasov@fmi.uni-sofia.bg
Krassimira Prodanova kprod@vmei.acad.bg
D. Terziiski dterziiski@yahoo.com
1991 Mathematics Subject Classification: 62P10.
Key
words: Central Venous Catheter (CVC) infection, Multivariate discriminant analysis.
This study investigates the incidence of and risk factors for
Central Venous Catheter (CVC) infection in intensive care patients
of Military Medical Academy in Sofia. CVCs were prospectively
studied in patients who had lines inserted in general or
neurosurgical intensive care and were expected to have the line in
situ for at least 7 days.
Catheters were cultured for CVC related infections and blood
culture done when indicated. In 29% there is a CVC related
infection and in 24.26% - a CVC related sepsis. After adjustment
of duration of catheterization, independent predictors of CVC
related infections were type of catheter, insertion site, sex, and
Acute Physiology Chronic Health Evaluation (APACHE).
Multivariate discriminant analysis was used in order to find out
significantly important factors for CVC infection an sepsis. The
variables entered into the model were those found to be
statistically significant (p < 0.005) on multivariate analysis.
The criterion for entering a variable into the model was the
values of Mahalanobis statistics and the corresponding values of
F-statistics. The software package use for statistical
analysis was STATISTIKA 5.0.
RANDOMIZED PUSH-OUT MECHANISMS IN PRIORITY QUEUEING
AND THEIR PROBABILITY CHARACTERISTICS
K. E. Avrachenkov
G. L. Shevlyakov
N. O. Vilchevski
1991 Mathematics Subject Classification: 60K25.
Key
words: priority queueing disciplines, loss probabilities, mean queues.
The non-preemptive priority queueing
with a finite buffer is considered. A randomized push-out buffer
management mechanism that allows to control very efficiently the
loss probability of priority packets is introduced. The packet
loss probabilities for priority and non-priority traffic are
derived with the use of the generating function approach. For the
standard non-randomized push-out scheme, the explicit analytic
expressions are obtained. A procedure for the numerical
calculation of mean queues is also proposed.
AN APPLICATION OF ISO 5725 IN BREWING INDUSTRY
V. Batchvarov ibhi@prolink.bg
Gabriela Marinova ibhi@prolink.bg
Plamen Mateev pmat@math.bas.bg
Dimitar Christozov dgc@aubg.bg
1991 Mathematics Subject Classification: v.
1991 Mathematics Subject Classification: 62P30, 62P10.
Key
words: beer, alcohol chill haze, Test Chapon, colloidal stability, ISO 5725,
Mandel`s statistics.
The colloidal stability is very important part of the total beer
quality. The stabilized beers have to have a long shelf-life.
Determination of some haze forming complexes could be very useful
for prediction of beer colloidal stability.
We study the repeatability and reproducibility of a method for
determination of some haze forming complexes in beer. The method
was tested in 10 laboratories. All of theme analyzed the same beer
samples and carried out two measurements for each. Statistical
evaluation of results was according ISO 5725 and previous
experience. The applied ISO 5725 statistical analyzes ensured high
quality and possibility of international recognition of the
measurement method.
A STOCHASTIC APPROACH FOR INVESTIGATION ULTRAFAST
PHENOMENA IN SEMICONDUCTORS
Todor V.
Gurov gurov@copern.bas.bg
Ivan T. Dimov dimov@amigo.acad.bg
M.
Nedjalkov mixi@iue.tuwien.ac.at
1991 Mathematics Subject Classification:65C05.
Key words: Monte Carlo algorithms.
In this
paper a stochastic approach is proposed for investigation the
ultrafast evolution of electrons interacting with phonons in the
presence of an applied electric field.
The quantum-kinetic equation describing the above ultrafast phenomena
contains polynomial non-linearity which allows to use
the link between non-stationary iterative processes and the
branching stochastic processes.
The considered stochastic approach relies on the numerical Monte Carlo (MC)
theory as applied to the integral form of the quantum-kinetic equation
and estimates the electron energy distribution using statistical averages
over long evolution times.
The numerical tests were performed for GaAs material parameters.
The numerical results for the electron energy distribution function
in the case of a non-linear electron quantum transport is compared
with the obtained results in the linear case.
DIMENSION REDUCTION OF THE EXPLANATORY VARIABLES IN
MULTIPLE LINEAR REGRESSION
P. Filzmoser
P.Filzmoser@tuwien.ac.at
C. Croux
1991 Mathematics Subject Classification: 60C05, 62C20, 62C25.
Key words: multiple decisions, adaptation, exponential families,
consistancy.
The asymptotic behavior of multiple decision procedures is studied when
the underlying distributions depend on an unknown nuisance parameter. An
adaptive procedure must be asymptotically optimal for each value of this
nuisance parameter, and it should not depend on its value. A necessary and
sufficient condition for the existence of such a procedure is derived. Several
examples are investigated in detail, and possible lack of adaptation of the
traditional overall maximum likelihood rule is discussed.
LOCAL-MEDIAN METHOD OF FORECASTING FOR REGRESSION
TIME SERIES UNDER OUTLIERS
Yu. Kharin kharin@bsu.by
V. Maevskiy
1991 Mathematics Subject Classification: 62M20, 62-07, 62J05, 62P20.
Key
words: Robustness, Forecasting, Regression,
Outliers.
The local-median method of forecasting
under the regression model with outliers is analyzed in this
paper. The breakdown point is evaluated, the distribution function
of the local-median forecast is given.
GENERALIZED SCALING FACTOR FOR ESTIMATING THE ACTIVITY
CONCENTRATIONS OF DIFFICULT-TO-MEASURE NUCLIDES
Plamen Mateev pmat@math.bas.bg
Eugenia Stoimenova
jeni@math.bas.bg
1991 Mathematics Subject Classification: 62P35, 62P30.
Key
words: scaling factor, difficult-to-measure nuclides, statistical estimation.
Scaling factors represent the relationship between a crucial
radionuclide concentration and other radionuclides concentrations.
In this paper a generalization of the Scaling Factor Method is
proposed.
DETECTING PRECIPITATION CLIMATE CHANGES: AN APPROACH BASED ON A
STOCHASTIC DAILY PRECIPITATION MODEL
N. Neykov
neyko.neykov@meteo.bg
P. Neytchev
W. Zucchini
1991 Mathematics Subject Classification: 62M10.
Key words:
Binary time series, climate change, gamma time series, generalized linear models,
Markov chain, rainfall modeling.
We consider development of daily precipitation models for some sites in Bulgaria. The
precipitation process is modelled as a two-state first-order
nonstationary Markov model. Both the probability of rainfall
occurrance and the rainfall intensity are allowed depend on the
intensity on the preceeding day. To investigate the existence of
long-term trend and of changes in the pattern of seasonal
variation we use a synthesis of the methodology presented in
Grunwald and Jones (2000) and the idea behind the classical
running windows technique for data smoothing. The resulting time
series of model parameters are used to quantify changes in the
precipitation process over the territory of Bulgaria.
MONTE CARLO STUDY OF PARTICLE TRANSPORT PROBLEM IN AIR POLLUTION
R.J. Papancheva rumi@cantor.bas.bg
Todor V. Gurov gurov@copern.bas.bg
Ivan T. Dimov dimov@amigo.acad.bg
1991 Mathematics Subject Classification: v.
Key
words: Monte Carlo algorithms.
The actual transport of the air pollutants is due to the wind. This
normally called ``advection of the air pollutants''. Diffusion
and deposition are other two major physical processes, which take
place during the transport of pollutants in the atmosphere.
In this paper we study two classes of grid-free Monte Carlo (MC) algorithms
for solving an elliptic boundary value problem,
where the partial differential equation contains advection,
diffusion and deposition parts.
The grid-free MC approach to solve the above equation
uses a local integral representation and
leads to a stochastic process called a random ``Walk on balls'' (WOB).
In the first class of algorithms, the choice of a transition density
function in the Markov chain depends on the radius of the maximal ball,
lying inside the domain, in which the problem is defined,
and on the parameters of the differential operator.
While the choice of a transition density function
in the second class of algorithms does not depend on the deposition part
of the problem.
The computational complexity of both classes of grid-free MC algorithms
was investigated using varied numerical tests on a PowerPC
(G4 w/AltiVec) 450 MHz running YDL 2.0.
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