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Article | 25-November-2017

QUANTILE ANALYSIS OF THE OPERATING COSTS OF THE PUBLIC TRANSPORT FLEET

Karol ANDRZEJCZAK, Jarosław SELECH

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

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

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