An International Journal of the Polish Statistical Association
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STATISTICS IN TRANSITION new series An International Journal of the Polish Statistical Association CONTENTS From the Editor ............................................................................................................ 1 Submission information for authors ............................................................................. 7 Sampling methods and estimation BĄK T., Triangular method of spatial sampling .......................................................... 9 DORUGADE A. V., A modified two-parameter estimator in linear regression .......... 23 KOZŁOWSKI A., The use of non-sample information in exit poll surveys in Poland ....................................................................................................................... 37 MALIK S., SINGH V. K., SINGH R., An improved estimator for population mean using auxiliary information in stratified random sampling ....................................... 59 SINGH H. P., TARRAY T. A., A modified mixed randomized response model ........ 67 Research article BIAŁEK J., Application of the original price index formula to measuring the CPI’s commodity substitution bias ..................................................................................... 83 Other articles: Multivariate Statistical Analysis 2013, Łódź. Conference Papers DEHNEL G., Winsorization methods in Polish business survey ................................. 97 KOSIOROWSKI D., MIELCZAREK D., RYDLEWSKI J., SNARSKA M., Sparse methods for analysis of sparse multivariate data from big economic databases ....... 111 PEKASIEWICZ D., Application of quantile methods to estimation of Cauchy distribution parameters .............................................................................................. 133 PIHLAK M., Modelling of skewness measure distribution ......................................... 145 WILK J., PIETRZAK M. B., An analysis of the population aging phenomena in Poland from a spatial perspective ............................................................................. 153 Book review WIŚNIEWSKI J. W., Correlation and regression of economic qualitative features, Lambert Academic Publishing, 2013. By Jan Kordos .............................................. 171 Volume 15, Number 1, Winter 2014 EDITOR IN CHIEF Prof. W. Okrasa, University of Cardinal Stefan Wyszyński, Warsaw, and CSO of Poland [email protected]; Phone number 00 48 22 — 608 30 66 ASSOCIATE EDITORS Belkindas M., The World Bank Consultant, O'Muircheartaigh C. A., University of Chicago, Washington D.C., USA Chicago, USA Bochniarz Z., University of Minnesota, USA Ostasiewicz W., Wrocław University of Economics, Ferligoj A., University of Ljubljana, Poland Ljubljana, Slovenia Pacakova V., University of Economics, Bratislava, Slovak Republic Ivanov Y., Statistical Committee of the Common-wealth of Independent Panek T., Warsaw School of Economics, States, Moscow, Russia Poland Jajuga K., Wrocław University of Economics, Paradysz J., Poznań University of Economics, Poland Wrocław, Poland Platek R., (Formerly) Statistics Canada, Kotzeva M., Statistical Institute of Bulgaria Ottawa, Canada Kozak M., University of Information Pukli P., Central Statistical Office, Technology and Management Budapest, Hungary in Rzeszów, Poland Szreder M., University of Gdańsk, Poland Krapavickaite D., Institute of Mathematics and de Ree S. J. M., Central Bureau of Statistics, Informatics, Vilnius, Lithuania Voorburg, Netherlands Lapins J., Statistics Department, Bank of Traat I., University of Tartu, Estonia Latvia, Riga, Latvia Verma V., Siena University, Siena, Italy Lehtonen R., University of Helsinki, Finland Voineagu V., National Commission for Statistics, Lemmi A., Siena University, Siena, Italy Bucharest, Romania Łagodziński W., Polish Statistical Association Wesołowski J., Central Statistical Office of Poland, Młodak A., Statistical Office Poznań, Poland and Warsaw University of Technology, Warsaw, Poland Wunsch G., Université Catholiąue de Louvain, Louvain-la-Neuve, Belgium FOUNDER/FORMER EDITOR Prof. J. Kordos, Central Statistical Office, Poland EDITORIAL BOARD Prof. Witkowski, Janusz (Co-Chairman), Central Statistical Office, Poland Prof. Domański, Czesław (Co-Chairman), University of Łódź, Poland Sir Anthony B. Atkinson, University of Oxford, United Kingdom Prof. Ghosh, Malay, University of Florida, USA Prof. Kalton, Graham, WESTAT, and University of Maryland, USA Prof. Krzyśko, Mirosław, Adam Mickiewicz University in Poznań, Poland Prof. Wywiał, Janusz L., University of Economics in Katowice, Poland Editorial Office ISSN 1234-7655 Marek Cierpiał-Wolan, Ph.D.: Scientific Secretary [email protected] Beata Witek: Secretary [email protected]. Phone number 00 48 22 — 608 33 66 Rajmund Litkowiec: Technical Assistant Address for correspondence GUS, al. Niepodległości 208, 00-925 Warsaw, POLAND, Tel./fax:00 48 22 — 825 03 95 STATISTICS IN TRANSITION new series, Winter 2014 1 STATISTICS IN TRANSITION new series, Winter 2014 Vol. 15, No. 1, pp. 1–5 FROM THE EDITOR At the outset of this issue I would like to announce some novelties in the journal, with respect to its issuing and editing. First, from this issue on, Statistics in Transition new series (SiTns) will be printed four times a year, just becoming a regular quarterly journal. This will give us an opportunity to be more responsive to systematically growing number of submitted papers, and to earn an extra point in certain indexation bases. Currently, in addition to several bases monitoring our publications, we are under consideration by SCOPUS. The second announcement is about preparing the journal's special issue, envisaged as a thematic collection of articles devoted to the subjective well-being, with preference given to papers presenting current research on this topic in public (government) statistics. In view of the fact that arranging for such a thematic collection of articles is a challenging task we have invited Prof. Graham Kalton (who also inspired us with this idea) to act as a Guest (co)Editor of such a topical collection of papers. The formal call for papers will be published in the next issue (scheduled for July). ACKNOWLEDGEMENTS AND NOMINATIONS With this issue some important personal changes take place. First of all, on behalf of the Editorial Office and also on behalf of the Co-Chairmen of the Editorial Board - Prof. Janusz Witkowski, the President of the Central Statistical Office and of Prof. Czesław Domański, the President of the Polish Statistical Association - I would like to express our gratefulness to the long-serving (since Autumn 2007) members of the journal's Editorial Board: Prof. Prof. Walenty Ostasiewicz, Tomasz Panek, Jan Paradysz, Mirosław Szreder, and Mr. Wiesław Łagodziński. Our excellent collaboration with each of these prominent researchers and scholars to a great extent contributed to the constantly rising recognition and overall quality of the journal. I deeply appreciate having chance to collaborate with so prominent experts, and hope to have the privilege to continue such a fruitful collaboration in the future. At the same time, I am extremely pleased to announce nomination of the five world renowned experts - previous members of our Associate Editors panel - to resume the membership of the Editorial Board: Sir Anthony B. Atkinson, University of Oxford, UK, Prof. Malay Ghosh, University of Florida, USA, Prof. Graham Kalton, Westat, and the University of Maryland, USA, 2 W. Okrasa: From the ... Prof. Mirosław Krzyśko, Adam Mickiewicz University in Poznań, Poland, and Prof. Janusz L. Wywiał, University of Economics in Katowice, Poland. We welcome new members of the Editorial Board and look forward to so exceptional opportunity to collaborate with frontiers in their fields. AN OVERVIEW OF THE CONTENTS As regards the contents of this issue, it starts with five papers devoted to different issues in Sampling Methods and Estimation. Tomasz Bąk's paper, Triangular Method of Spatial Sampling, presents a new adaptive method of spatial sampling, starting with developing a theory of this method, followed by discussion of the benefits of decreased size of a sample due to the employment of this method in sampling of natural area units. Initial sampling of the first three elements is described and density of sampling at the initial stage is obtained by the Monte Carlo method. The density is defined on the basis of the logarithm of inverse square of the Euclidean distance function and a simulation of the triangular method of spatial sampling is finally conducted. An example is given for sampling forest areas in research on approximating the ability of trees to absorb carbon dioxide. The triangular method of spatial sampling is used at the strata sampling stage, and density of sampling in the simulated forest is obtained using Monte Carlo method. Ashok V. Dorugade introduces a new estimator - A Modified Two- Parameter Estimator in Linear Regression - envisaged as an alternative to the OLS estimator for the vector of parameters in the linear regression model in the case when multicollinearity is present in the data. The properties of the proposed estimator are discussed along with its performance in terms of the matrix mean square error criterion. A new two-parameter estimator (NTP), an almost unbiased two-parameter estimator (AUTP), and other well-known estimators are being discussed. A numerical example and simulation study are conducted to illustrate the superiority of the proposed estimator. Arkadiusz Kozłowski discusses possibilities for