Volume 17, Number 3, September 2016
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STATISTICS IN TRANSITION new series An International Journal of the Polish Statistical Association CONTENTS From the Editor ................................................................ ............................................ 359 Submission information for authors ............................................................................. 363 Sampling methods and estimation Kubacki J., Jędrzejczak A., Small area estimation of income under spatial SAR model ................................................................................................................ 365 Shanker R., Sujatha distribution and its applications ................................................. 391 Wywiał, J. L., Estimation of mean on the basis of conditional simple random sample ....................................................................................................................... 411 Research articles Al-Kandari N. M., Lahiri P., Prediction of a function of misclassified binary data .... 429 Górecki T., Krzyśko M., Ratajczak W., Wołyński W., An extension of the classical distance correlation coefficient for multivariate functional data with applications ............................................................................................................... 449 Szulc A., Changing mortality distribution in developed countries from 1970 to 2010: looking at averages and beyond them ......................................................... 467 Other articles: Multivariate Statistical Analysis 2015, Łódź. Conference Papers Balcerzak A. P., Pietrzak M. B., Quality of institutions and total factor productivity in the European Union .......................................................................... 497 Kubus M., Locally regularized linear regression in the valuation of real estate ......... 515 Kozera A., Głowicka-Wołoszyn R., Spatial autocorrelation in assessment of financial self-sufficiency of communes of Wielkopolska province .......................... 525 Baszczyńska A., Kernel estimation of cumulative distribution function of a random variable with bounded support .................................................................. 541 Classification and data analysis −theory and applications, 2015, Gdańsk. Conference papers Wanat S., Śmiech S., Papież M., In search of hedges and safe havens in global financial markets ........................................................................................................ 557 Book review Microeconometrics in Business Management, 2016. By Jerzy Witold Wiśniewski. Reviewed by J. Kordos .............................................................................................. 575 Conference Announcement International conference on "Quality of Life and Spatial Cohesion" organized by the Central Statistical Office of Poland and the University of Cardinal Stefan Wyszynski, Warsaw, 17-18 November 2016. ........................................................... 579 About the Authors 581 Volume 17, Number 3, September 2016 EDITOR IN CHIEF Prof. W. Okrasa, University of Cardinal Stefan Wyszyński, Warsaw, and Central Statistical Office of Poland [email protected]; Phone number 00 48 22 — 608 30 66 ASSOCIATE EDITORS Belkindas M., Open Data Watch, Osaulenko O., National Academy of Statistics, Washington D.C., USA Accounting and Audit, Bochniarz Z., University of Minnesota, USA Kiev, Ukraine Ferligoj A., University of Ljubljana, Ostasiewicz W., Wrocław University of Economics, Ljubljana, Slovenia Poland Ivanov Y., Statistical Committee of the Pacáková V., University of Pardubice, Czech Republic Commonwealth of Independent States, Moscow, Russia Panek T., Warsaw School of Economics, Poland Jajuga K., Wrocław University of Economics, Wrocław, Poland Pukli P., Central Statistical Office, Budapest, Hungary Kotzeva M., EC, Eurostat, Luxembourg Szreder M., University of Gdańsk, Poland Kozak M., University of Information Technology and Management de Ree S. J. M., Central Bureau of Statistics, Voorburg, Netherlands in Rzeszów, Poland Traat I., University of Tartu, Estonia Krapavickaite D., Institute of Mathematics and Informatics, Vilnius, Lithuania Verma V., Siena University, Siena, Italy Lapiņš J., Statistics Department, Bank of Voineagu V., National Commission for Statistics, Latvia, Riga, Latvia Bucharest, Romania Lehtonen R., University of Helsinki, Finland Wesołowski J., Central Statistical Office of Poland, and Warsaw University of Lemmi A., Siena University, Siena, Italy Technology, Warsaw, Poland Młodak A., Statistical Office Poznań, Wunsch G., Université Catholiąue de Louvain, Poland Louvain-la-Neuve, Belgium O'Muircheartaigh C. A., University of Chicago, Chicago, USA FOUNDER/FORMER EDITOR Prof. J. Kordos, Warsaw Management University, Poland EDITORIAL BOARD Rozkrut, Dominik Ph.D. (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] Secretary: Katarzyna Pomianowska, [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, September 2016 359 STATISTICS IN TRANSITION new series, September 2016 Vol. 17, No. 3, pp. 359−362 FROM THE EDITOR Three kinds of papers included in this issue are arranged in a conventional way, starting with sampling methods and estimation issues followed by research papers and other articles, the last being a selection of papers from two conferences: Multivariate Statistical Analysis 2015, held in Łódź and Classification and data analysis − theory and applications, 2015, held in Gdańsk. Altogether eleven regular articles and a book review constitute this issue. The first article, Small Area Estimation of Income under Spatial SAR Model by J. Kubacki and A. Jędrzejczak presents the method of hierarchical Bayes (HB) estimation under small area models with spatially correlated random effects and a spatial structure implied by the Simultaneous Autoregressive (SAR) process. Calculations are based on the concept of sampling from a posterior distribution under generalized linear mixed models implemented in WinBUGS software along with estimation for small areas by means of the HB method in the case of known model hyperparameters using data from household income data. A three-stage procedure which employs Balanced Repeated Replication, bootstrap and Generalized Variance Function, and additional simulations were conducted to show the influence of the spatial autoregression coefficient on the estimation error reduction. For high spatial correlation between domains, a noticeable MSE reduction showed that the HB-SAR method is in general more efficient than the traditional spatial EBLUP technique. R. Shanker's paper Sujatha distribution and its applications proposes a new one-parameter lifetime distribution named “Sujatha Distribution” with an increasing hazard rate for modelling lifetime data. The author presents its first four moments and expressions for coefficient of variation, skewness, kurtosis and index of dispersion. Various mathematical and statistical properties of the proposed distribution are discussed including its hazard rate function, mean residual life function, stochastic ordering, mean deviations, Bonferroni and Lorenz curves, and stress-strength reliability. The applications and goodness of fit of the distribution is also discussed using three real lifetime data sets, and the fit has been compared with one-parameter lifetime distributions including Akash, Shanker, Lindley and exponential distributions. The next paper, Estimation of mean on the basis of conditional simple random sample by J. L. Wywiał, discusses a problem of estimation of the population mean in a finite and fixed population on the basis of the conditional simple random sampling design dependent on order statistics (quantiles) of an auxiliary variable. The well-known Horvitz-Thompson and ratio type estimators as well as the sample mean are taken into account under the conditional simple random sampling designs. In conclusions following the results of empirical 360 W. Okrasa: From the Editor... analysis the author stresses that under some additional conditions the proposed estimation strategies based on the conditional simple random sample are in general more accurate than the mean from the simple random sample drawn without replacement. In particular, it can be expected that the sampling design might be useful in the case when there are censored observations of the auxiliary variable and in the presence of outliers. The research papers section opens with an article by N. M. Al-Kandari and P. Lahiri on Prediction of a function of misclassified binary data. The authors start with an interesting observation that the naive predictor, which ignores the misclassification errors, is unbiased even if total misclassification error is high as long as the probabilities of false positives and false negatives are identical. Other than this case, the bias of the naive predictor depends on the misclassification distribution and the