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Article | 25-November-2017

QUANTILE ANALYSIS OF THE OPERATING COSTS OF THE PUBLIC TRANSPORT FLEET

Summary. The aim of this paper is to develop a quantile method of cost analysis allowing identification of the most cost-generating malfunctions occurring in a fleet of public transport vehicles. The exemplification of this method has been performed for a fleet of a specified type of trams. The idea behind the quantile method of public transport vehicle operating cost analysis is the reversing of the accumulated function of costs, for the determination of which a cost database from a given

Karol ANDRZEJCZAK, Jarosław SELECH

Transport Problems, Volume 12 , ISSUE 3, 103–111

Article | 06-July-2017

DECOMPOSITION OF DIFFERENCES IN INCOME DISTRIBUTIONS USING QUANTILE REGRESSION

The paper deals with microeconometric techniques useful for the study of differences between groups of objects, methods that go beyond simple comparison of average values. Techniques for the decomposition of differences in distributions by constructing counterfactual distributions were considered. Using the Machado-Mata quantile regression approach the empirical decomposition of the inequalities in income distributions of one-person households in urban and rural areas was performed. We employed

Joanna Małgorzata Landmesser

Statistics in Transition New Series, Volume 17 , ISSUE 2, 331–348

Article | 20-September-2020

Statistical Properties and Estimation of Power-Transmuted Inverse Rayleigh Distribution

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

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

Statistics in Transition New Series, Volume 21 , ISSUE 3, 93–107

Research Article | 04-September-2019

GENERALIZED PARETO DISTRIBUTION BASED ON GENERALIZED ORDER STATISTICS AND ASSOCIATED INFERENCE

In this paper, we have considered the generalized Pareto distribution. Various structural properties of the distribution are derived including (quantile function, explicit expressions for moments, mean deviation, Bonferroni and Lorenz curves and Renyi entropy). We have provided simple explicit expressions and recurrence relations for single and product moments of generalized order statistics from the generalized Pareto distribution. The method of maximum likelihood is adopted for estimating the

Mansoor Rashid Malik, Devendra Kumar

Statistics in Transition New Series, Volume 20 , ISSUE 3, 57–79

Research Article | 08-December-2021

Type II Topp-Leone Frechet distribution: properties and applications

The paper focuses on type II Topp-Leone Frechet distribution. Its properties including hazard rate function, reverse hazard rate function, Mills ratio, quantile function and order statistics have been studied. The maximum likelihood estimation used for estimating the parameters of the proposed distribution has been explained and expressions for the Fisher information matrix and confidence intervals have been provided. The paper discusses the applications of the distribution for modeling several

Rama Shanker, Umme Habibah Rahman

Statistics in Transition New Series, Volume 22 , ISSUE 4, 139–152

Research Article | 01-June-2020

Statistical properties and different methods of estimation for extended weighted inverted Rayleigh distribution

The aim of this paper is to introduce a new weighted probability distribution to model the non-monotone failure rate pattern for survival data. The proposed distribution is generalized by considering inverted Rayleigh distribution as a baseline distribution called an extended weighted inverted Rayleigh distribution. Different statistical properties such as moment, quantile function, moment generating function, entropy measurement, Bonferroni and Lorenz curve, stochastic ordering and order

Abhimanyu Singh Yadav, S. K. Singh, Umesh Singh

Statistics in Transition New Series, Volume 21 , ISSUE 2, 119–141

Article | 15-March-2019

EXTENDED EXPONENTIATED POWER LINDLEY DISTRIBUTION

In this study, we introduce a new model called the Extended Exponentiated Power Lindley distribution which extends the Lindley distribution and has increasing, bathtub and upside down shapes for the hazard rate function. It also includes the power Lindley distribution as a special case. Several statistical properties of the distribution are explored, such as the density, hazard rate, survival, quantile functions, and moments. Estimation using the maximum likelihood method and inference on a

V. Ranjbar, M. Alizadeh, G. G. Hademani

Statistics in Transition New Series, Volume 19 , ISSUE 4, 621–643

research-article | 30-November-2017

RANDOM STRENGTH PARAMETERS OF STEEL CORRUGATED WEBS AND THEIR INFLUENCE ON THE RESISTANCE OF SIN PLATE GIRDERS

variation in yield strength VRe=D(Re)/E(Re) were computed, where D(Re) denotes standard deviation of yield strength Re, and E(Re) – the mean value of yield strength Re (notations in accordance with quantile algebra). On the basis of coefficients of variations VRe, partial factors of the yield strength γm were estimated. Because of the shape and thickness of the corrugated web in SIN girders, numerous phenomena occur that are related to web shear resistance. They are reported in studies [1, 2, 5, 6, 7

Witold BASIŃSKI, Zbigniew KOWAL

Architecture, Civil Engineering, Environment, Volume 11 , ISSUE 3, 65–77

Article | 04-September-2019

DECOMPOSITION OF GENDER WAGE GAP IN POLAND USING COUNTERFACTUAL DISTRIBUTION WITH SAMPLE SELECTION

In the paper, we compare income distributions in Poland taking into account gender differences. The gender pay gap can only be partially explained by differences in men’s and women’s characteristics. The unexplained part of the gap is usually attributed to the wage discrimination. The objective of this study is to extend the Oaxaca-Blinder decomposition procedure to different quantile points along the income distribution. We use the RIF-regression method to describe differences

Joanna Małgorzata Landmesser

Statistics in Transition New Series, Volume 20 , ISSUE 3, 171–186

Article | 06-July-2017

INTERVAL ESTIMATION OF HIGHER ORDER QUANTILES. ANALYSIS OF ACCURACY OF SELECTED PROCEDURES

Dorota Pekasiewicz

Statistics in Transition New Series, Volume 17 , ISSUE 4, 737–748

Article | 06-July-2017

ESTIMATION OF MEAN ON THE BASIS OF CONDITIONAL SIMPLE RANDOM SAMPLE

Janusz Wywiał

Statistics in Transition New Series, Volume 17 , ISSUE 3, 411–428

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