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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


ISSN: 1234-7655
eISSN: 2450-0291




VOLUME 21 , ISSUE 3 (September 2020) - List of articles

A Bayesian Small Area Model with Dirichlet Processes on the Responses

Jiani Yin/ Balgobin Nandram

Typically survey data have responses with gaps, outliers and ties, and the distributions of the responses might be skewed. Usually, in small area estimation, predictive inference is done using a two-stage Bayesian model with normality at both levels (responses and area means). This is the Scott-Smith (S-S) model and it may not be robust against these features. Another model that can be used to provide a more robust structure is the two-stage Dirichlet process mixture (DPM) model, which has indep(..)

DOI: 10.21307/stattrans-2020-041

Published Online: 20-September-2020

Measuring and Testing Mutual Dependence of Multivariate Functional Data

Mirosław Krzyśko/ Łukasz Smaga

This paper considers new measures of mutual dependence between multiple multivariate random processes representing multidimensional functional data. In the case of two processes, the extension of functional distance correlation is used by selecting appropriate weight function in the weighted distance between characteristic functions of joint and marginal distributions. For multiple random processes, two measures are sums of squared measures for pairwise dependence. The dependence measures are ze(..)

DOI: 10.21307/stattrans-2020-042

Published Online: 20-September-2020

Detection of Outliers in Univariate Circular Data by Means of the Outlier Local Factor (LOF)

Ali H. Abuzaid

The problem of outlier detection in univariate circular data was the object of increased interest over the last decade. New numerical and graphical methods were developed for samples from different circular probability distributions. The main drawback of the existing methods is, however, that they are distribution-based and ignore the problem of multiple outliers. The local outlier factor (LOF) is a density-based method for detecting outliers in multivariate data and it depends on the local dens(..)

DOI: 10.21307/stattrans-2020-043

Published Online: 20-September-2020

A New Quasi Sujatha Distribution

Rama Shanker/ Kamlesh Kumar Shukla

The aim of this paper is to introduce a new quasi Sujatha distribution (NQSD), of which the following are particular cases: the Sujatha distribution devised by Shanker (2016 a), the sizebiased Lindley distribution, and the exponential distribution. Its moments and momentsbased measures are derived and discussed. Statistical properties, including the hazard rate and mean residual life functions, stochastic ordering, mean deviations, Bonferroni and Lorenz curves and stress-strength reliability are(..)

DOI: 10.21307/stattrans-2020-044

Published Online: 20-September-2020

Power Size Biased Two-Parameter Akash Distribution

Khaldoon Alhyasat/ Ibrahim Kamarulzaman/ Amer Ibrahim Al-Omari/ Mohd Aftar Abu Bakar

In this paper, the two-parameter Akash distribution is generalized to size-biased twoparameter Akash distribution (SBTPAD). A further modification to SBTPAD is introduced, creating the power size-biased two-parameter Akash distribution (PSBTPAD). Several statistical properties of PSBTPAD distribution are proved. These properties include the following: moments, coefficient of variation, coefficient of skewness, coefficient of kurtosis, the maximum likelihood estimation of the distribution paramet(..)

DOI: 10.21307/stattrans-2020-045

Published Online: 20-September-2020

Statistical Properties and Estimation of Power-Transmuted Inverse Rayleigh Distribution

Amal S. Hassan/ Salwa M. Assar/ Ahmed M. Abdelghaffar

A three-parameter continuous distribution is constructed, using a power transformation related to the transmuted inverse Rayleigh (TIR) distribution. A comprehensive account of the statistical properties is provided, including the following: the quantile function, moments, incomplete moments, mean residual life function and Rényi entropy. Three classical procedures for estimating population parameters are analysed. A simulation study is provided to compare the performance of different estimates.(..)

DOI: 10.21307/stattrans-2020-046

Published Online: 20-September-2020

Generalised Odd Frechet Family of Distributions: Properties and Applications

Shahdie Marganpoor/ Vahid Ranjbar/ Morad Alizadeh/ Kamel Abdollahnezhad

A new distribution called Generalized Odd Fréchet (GOF) distribution is presented and its properties explored. Some structural properties of the proposed distribution, including the shapes of the hazard rate function, moments, conditional moments, moment generating function, skewness, and kurtosis are presented. Mean deviations, Lorenz and Bonferroni curves, Rényi entropy, and the distribution of order statistics are given. The maximum likelihood estimation technique is used to estimate the mode(..)

DOI: 10.21307/stattrans-2020-047

Published Online: 20-September-2020

Ukraine's State Regulation of the Economic Development of Territories in the Context of Budgetary Decentralisation

Oleksandr H. Osaulenko/ Taisiia Bondaruk/ Liudmyla Momotiuk

The paper presents the theoretical and methodological foundations of Ukraine’s state legislation regulating the economic development of territories, in the context of budget decentralization. The study also describes the transformation of the public administration system necessitated by the above-mentioned phenomenon. The authors discuss the basic methods by which the state can regulate the activity of local self-government bodies: the legislative regulation, where the intervention of public aut(..)

DOI: 10.21307/stattrans-2020-048

Published Online: 20-September-2020

The Unobserved Economy - Invisible Production in Households. The Household Production Satellite Account and the National Time Transfer Account

Marta Marszałek

Standard measures of economic activity relate to goods and services offered by the market. Stiglitz’s report, however, suggests that not only monetary value or economic products create welfare, but non-monetary components should also be included in the System of National Accounts. Although household production is registered in official statistics, the main part of it, i.e. nearly 75-80% of the total home production remains outside of the GDP. The Household Production Satellite Account (HHSA) is (..)

DOI: 10.21307/stattrans-2020-049

Published Online: 20-September-2020

Poisson Weighted Ishita Distribution: Model for Analysis of Over-Dispersed Medical Count Data

Bilal Ahmad Para/ Tariq Rashid Jan

A new over-dispersed discrete probability model is introduced, by compounding the Poisson distribution with the weighted Ishita distribution. The statistical properties of the newly introduced distribution have been derived and discussed. Parameter estimation has been done with the application of the maximum likelihood method of estimation, followed by the Monte Carlo simulation procedure to examine the suitability of the ML estimators. In order to verify the applicability of the proposed distri(..)

DOI: 10.21307/stattrans-2020-050

Published Online: 20-September-2020

Through a Random Route to the Goal: Theoretical Background and Application of the Method in Tourism Surveying in Poland

Sebastian Wójcik

Classic survey methods are ineffective when surveying a small or rare population. Several methods have been developed to address this issue, but often without providing a full mathematical justification. In this paper we propose estimators of parameters relating to Random Route Sampling and explore their basic properties. A formula for the Horvitz-Thompson estimator weights is presented. Finally, a case of a tourism-related survey conducted in Poland is discussed.

DOI: 10.21307/stattrans-2020-051

Published Online: 20-September-2020

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