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Statistics in Transition New Series

An International Journal of the Polish Statistical Association

Polish Statistical Association

Central Statistical Office of Poland

Subject: Economics , Statistics & Probability

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ISSN: 1234-7655
eISSN: 2450-0291

DESCRIPTION

FEATURED ARTICLES

SUBJECTIVE AND COMMUNITY WELL-BEING INTERACTION IN A MULTILEVEL SPATIAL  MODELLING FRAMEWORK
LINEAR CHOLESKY DECOMPOSITION OF COVARIANCE MATRICES IN MIXED MODELS WITH CORRELATED RANDOM EFFECTS

VOLUME 18 , ISSUE 3 (September 2017) - List of articles

FROM THE EDITOR

Włodzimierz Okrasa

DOI: 10.21307/stattrans-2016-075

POPULATION VARIANCE ESTIMATION USING FACTOR TYPE IMPUTATION METHOD

RANJITA PANDEY/ KALPANA YADAV

We propose a variance estimator based on factor type imputation in the presence of non-response. Properties of the proposed classes of estimators are studied and their optimality conditions are derived. The proposed classes of factor type ratio estimators are shown to be more efficient than some of the existing estimators, namely, the usual unbiased estimator of variance, ratio-type, dual to ratio type and ratio cum dual to ratio estimators. Their performances are assessed on the basis of relati(..)

DOI: 10.21307/stattrans-2016-076

BAYESIAN MODEL AVERAGING AND JOINTNESS MEASURES: THEORETICAL FRAMEWORK AND APPLICATION TO THE GRAVITY MODEL OF TRADE

Krzysztof Beck

The following study presents the idea of Bayesian model averaging (BMA), as well as the benefits coming from combining the knowledge obtained on the basis of analysis of different models. The BMA structure is described together with its most important statistics, g prior parameter proposals, prior model size distributions, and also the jointness measures proposed by Ley and Steel (2007), as well as Doppelhofer and Weeks (2009). The application of BMA is illustrated with the gravity model of trad(..)

DOI: 10.21307/stattrans-2016-077

ON ASYMMETRY OF PREDICTION ERRORS IN SMALL AREA ESTIMATION

Tomasz Żądło

The mean squared error reflects only the average prediction accuracy while the distribution of squared prediction error is positively skewed. Hence, assessing or comparing accuracy based on the MSE (which is the mean of squared errors) is insufficient and even inadequate because we should be interested not only in the average but in the whole distribution of prediction errors. This is the reason why we propose to use different than MSE measures of prediction accuracy in small area estimation. In(..)

DOI: 10.21307/stattrans-2016-078

AN APPLICATION OF FUNCTIONAL MULTIVARIATE REGRESSION MODEL TO MULTICLASS CLASSIFICATION

Mirosław Krzyśko/ Łukasz Smaga

In this paper, the scale response functional multivariate regression model is considered. By using the basis functions representation of functional predictors and regression coefficients, this model is rewritten as a multivariate regression model. This representation of the functional multivariate regression model is used for multiclass classification for multivariate functional data. Computational experiments performed on real labelled data sets demonstrate the effectiveness of the proposed met(..)

DOI: 10.21307/stattrans-2016-079

STACKED REGRESSION WITH A GENERALIZATION OF THE MOORE-PENROSE PSEUDOINVERSE

Tomasz Górecki/ Maciej Łuczak

In practice, it often happens that there are a number of classification methods. We are not able to clearly determine which method is optimal. We propose a combined method that allows us to consolidate information from multiple sources in a better classifier. Stacked regression (SR) is a method for forming linear combinations of different classifiers to give improved classification accuracy. The Moore-Penrose (MP) pseudoinverse is a general way to find the solution to a system of linear equation(..)

DOI: 10.21307/stattrans-2016-080

AN ADDITIVE RISKS REGRESSION MODEL FOR MIDDLE-CENSORED LIFETIME DATA

P. G. Sankaran/ S. Prasad

Middle-censoring refers to data arising in situations where the exact lifetime of study subjects becomes unobservable if it happens to fall in a random censoring interval. In the present paper we propose a semiparametric additive risks regression model for analysing middle-censored lifetime data arising from an unknown population. We estimate the regression parameters and the unknown baseline survival function by two different methods. The first method uses the martingale-based theory and the se(..)

DOI: 10.21307/stattrans-2016-081

OPTION FOR PREDICTING THE CZECH REPUBLIC'S FOREIGN TRADE TIME SERIES AS COMPONENTS IN GROSS DOMESTIC PRODUCT

Luboš Marek/ Stanislava Hronová/ Richard Hindls

This paper analyses the time series observed for the foreign trade of the Czech Republic (CR) and predictions in such series with the aid of the SARIMA and transfer-function models. Our goal is to find models suitable for describing the time series of the exports and imports of goods and services from/to the CR and to subsequently use these models for predictions in quarterly estimates of the gross domestic product (GDP) component resources and utilization. As a result we get suitable models wit(..)

DOI: 10.21307/stattrans-2016-082

SUBJECTIVE APPROACH TO ASSESSING POVERTY IN POLAND – IMPLICATIONS FOR SOCIAL POLICY

Leszek Morawski/ Adrian Domitrz

The poverty rates based on the OECD scales are frequently used in public debate. In this scale, large families are usually identified as those most in need of financial support. Poland is an interesting case for applying an alternative, subjective approach to calculating equivalent scales, as Poland has a large mean size for households, and is dependent on means-testing in social policymaking. The overall poverty rates for the two approaches are not distinctly different but they lead to signific(..)

DOI: 10.21307/stattrans-2016-083

SELECTING THE OPTIMAL MULTIDIMENSIONAL SCALING PROCEDURE FOR METRIC DATA WITH R ENVIRONMENT

Marek Walesiak/ Andrzej Dudek

In multidimensional scaling (MDS) carried out on the basis of a metric data matrix (interval, ratio), the main decision problems relate to the selection of the method of normalization of the values of the variables, the selection of distance measure and the selection of MDS model. The article proposes a solution that allows choosing the optimal multidimensional scaling procedure according to the normalization methods, distance measures and MDS model applied. The study includes 18 normalization m(..)

DOI: 10.21307/stattrans-2016-084

SAMPLE ALLOCATION IN ESTIMATION OF PROPORTION IN A FINITE POPULATION DIVIDED AMONG TWO STRATA

Dominik Sieradzki/ Wojciech Zieliński

The problem of estimating a proportion of objects with a particular attribute in a finite population is considered. The classical estimator is compared with the estimator, which uses the information that the population is divided among two strata. Theoretical results are illustrated with a numerical example.

DOI: 10.21307/stattrans-2016-085

REMARKS ON THE ESTIMATION OF POSITION PARAMETERS

Czesław Domański

The article contains some theoretical remarks about selected models of position parameters estimation as well as numerical examples of the problem. We ask a question concerning the existence of possible measures of the quality of interval estimation and we mention some popular measures applied to the task. Point estimation is insufficient in practical problems and it is rather interval estimation that is in wide use. Too wide interval suggests that the information available is not sufficient to (..)

DOI: 10.21307/stattrans-2016-086

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