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Odd log-logistic generalised Lindley distribution with properties and applications

100%
Ranjbar V., Eftekharian A., Kharazmi O., Alizadeh M.
Statistics in Transition new series
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2023
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vol. 24
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issue 4
71-92
EN
In this paper, a new three-parameter lifetime model, called the odd log-logistic generalised Lindley distribution, is introduced. Some structural properties of the new distribution including ordinary and incomplete moments, quantile and generating functions and order statistics are obtained. The new density function can be expressed as a linear mixture of exponentiated Lindley densities. Different methods are discussed to estimate the model parameters and a simulation study is carried out to show the performance of the new distribution. The importance and flexibility of the new model are also illustrated empirically by means of two real data sets. Finally, Bayesian analysis and Gibbs sampling are performed based on the two real data sets.
2
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The Cost Efficiency of Sampling Designs

100%
Liberts M.
Statistics in Transition new series
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2013
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vol. 14
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issue 1
7-30
EN
The aim of a sample survey is to obtain high quality estimates of population parameters with low cost. The expected precision of estimates and the expected data collection cost are usually unknown making the choice of sampling design a complicated task. Analytical methods can not be used often because of the complexity of the sampling design or data collection process. The aim of this paper is to develop a mathematical framework to compare chosen sampling designs with respect to the expected precision of estimates and the data collection cost. As a result a framework is developed which employs artificial population data generation, survey sampling techniques, survey cost modelling, Monte Carlo simulation experiments and other techniques. The framework is applied to analyse the cost efficiency of the sampling design currently used for the Latvian Labour Force Survey.
3
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Proporcionalita, integrační účinek a legitimita volebního systému do Poslanecké sněmovny: simulační studie dopadů D’Hondtova dělitele, Imperialiho kvóty a Hareovy kvóty

100%
Horák F., Antoš M., Sklenář D., Lacko D.
Sociologický časopis. Czech Sociological Review
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2024
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vol. 60
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issue 2
127-155
EN
Although the change in the electoral system used in elections to the Chamber of Deputies has attracted the attention of lawyers, political scientists, and sociologists, we still lack a comprehensive comparative analysis of the new system with the original one or other alternatives. The main reason for this is the lack of empirical data. This article overcomes this problem using a simulation of electoral results that correspond to the real Czech election environment. On the basis of this simulated dataset it is possible to generate generalisable conclusions about the proportionality, integration effect, and legitimacy of three electoral formulas: the original D’Hondt divisor, the newly adopted Imperiali quota, and the Hare quota. Our results show that the Hare quota is clearly the best choice. Its advantages in proportionality significantly outweigh its disadvantages in integrative effect. Moreover, this formula sees the least disruption to the logical sequence of results, i.e. where a party with fewer votes gets more seats, a phenomenon that is undesirable and undermines the legitimacy of elections. We are convinced that among the three formulas compared the Hare quota is the one that best fits the constitutional requirements of the electoral system as interpreted by the Constitutional Court, and that - unless the legislature is planning to change other parameters of the electoral system - it is the one that should be implemented.
4
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Ratio estimation of two population means in two-phase stratified random sampling under a scrambled response situation

100%
Das P., Singh G. N., Bandyopadhyay A.
Statistics in Transition new series
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2023
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vol. 24
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issue 5
45-61
EN
In this paper, we have described the development of an effective two-phase stratified random sampling estimation procedure in a scrambled response situation. Two different exponential, regression-type estimators were formed separately for different structures of two-phase stratified sampling schemes. We have studied the properties of the suggested strategy. The performance of the proposed strategy has been demonstrated through numerical evidence based on a data set of a natural population and a population generated through simulation studies. Taking into consideration the encouraging findings, suitable recommendations for survey statisticians are prepared for the application of the proposed strategy in real-life conditions.
5
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Comparison of multiple-criteria decision-making methods - results of a simulation study

72%
Adamczak M., Domański R., Wagener N.
LogForum
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2016
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vol. 12
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issue 4
237-246
EN
Background: Today, both researchers and practitioners have many methods for supporting the decision-making process. Due to the conditions in which supply chains function, the most interesting are multi-criteria methods. The use of sophisticated methods for supporting decisions requires the parameterization and execution of calculations that are often complex. So is it efficient to use sophisticated methods? Methods: The authors of the publication compared two popular multi-criteria decision-making methods: the Weighted Sum Model (WSM) and the Analytic Hierarchy Process (AHP). A simulation study reflects these two decision-making methods. Input data for this study was a set of criteria weights and the value of each in terms of each criterion. Results: The iGrafx Process for Six Sigma simulation software recreated how both multiple-criteria decision-making methods (WSM and AHP) function. The result of the simulation was a numerical value defining the preference of each of the alternatives according to the WSM and AHP methods. The alternative producing a result of higher numerical value was considered preferred, according to the selected method. In the analysis of the results, the relationship between the values of the parameters and the difference in the results presented by both methods was investigated. Statistical methods, including hypothesis testing, were used for this purpose. Conclusions: The simulation study findings prove that the results obtained with the use of two multiple-criteria decision-making methods are very similar. Differences occurred more frequently in lower-value parameters from the "value of each alternative" group and higher-value parameters from the "weight of criteria" group.
PL
Wstęp: Obecnie teoretycy i praktycy dysponują wieloma metodami wspomagającymi proces podejmowania decyzji. Z uwagi na warunki, w jakich funkcjonują współczesne łańcuchy dostaw najbardziej interesujące wydają się metody wielokryterialne. Wykorzystanie skomplikowanych metod wymaga jednak wieloetapowej parametryzacji i przeprowadzenia rozbudowanych obliczeń. Czy zatem efektywne jest stosowanie skomplikowanych metod? Metody: Autorzy publikacji porównali dwie popularne wielokryterialne metody wspomagające proces podejmowani decyzji: metodę punktową ważoną (WSM) oraz metodę hierarchiczną (AHP). W modelu symulacyjnym odzwierciedlono funkcjonowanie obu tych metod. Dane wejściowe do symulacji stanowiły wartości parametrów: ocena alternatywy oraz waga kryterium. Wyniki: Model symulacyjny opracowano w oprogramowaniu iGrafx Process for Six Sigma. Odzwierciedlono w nim funkcjonowanie dwóch wielokryterialnych metod wspomagania procesu decyzyjnego: WSM oraz AHP. Wynikami symulacji były wartości liczbowe odzwierciedlające preferencję każdej z alternatyw według każdej z metod. Za wybraną przez daną metodę alternatywę uznawano tą, której wartość wskaźnika preferencji była wyższa. W analizie wyników poszukiwano zależności pomiędzy wartościami parametrów oraz różnicą wyników przedstawioną przez obie metody. Wykorzystano w tym celu metody statystyczne w tym testowanie hipotez. Wnioski: Przedstawione rezultaty badań symulacyjnych wskazują, że wyniki uzyskane dwiema wielokryterialnymi metodami wspomagania decyzji są do siebie bardzo zbliżone. Różnice wyników pomiędzy nimi miały miejsce częściej w warunkach niższych wartości parametru ocena alternatywy oraz w wyższych wartości parametru waga kryterium.
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