Efficient estimation of Pareto model: Some modified percentile estimators

Bhatti, Sajjad Haider; Hussain, S. Fazal; Ahmad, Tanvir; Aslam, Muhammad; Aftab, Muhammad; Raza, Muhammad Ali

doi:10.1371/journal.pone.0196456

Cited by 17 publications

(15 citation statements)

References 36 publications

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“…Both of these conditions hold for the FPLD. Additionally, Bhatti et al (2018) find that the method of quantiles outperforms both the method of moments and maximum likelihood estimation for parameter estimation under the Pareto distribution. As the FPLD can be described as the difference between two Pareto distributions, it should share some of the same properties.…”

Section: The Methods Of Quantilesmentioning

confidence: 92%

Quantile based modelling of diurnal temperature range with the five-parameter lambda distribution

Vandeskog,

Thorarinsdottir,

Steinsland

et al. 2021

Preprint

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Diurnal temperature range is an important variable in climate science that can provide information regarding climate variability and climate change. Changes in diurnal temperature range can have implications for human health, ecology and hydrology, among others. Yet, the statistical literature on modelling diurnal temperature range is lacking. This paper proposes to model the distribution of diurnal temperature range using the five-parameter lambda distribution (FPLD). Additionally, in order to model diurnal temperature range with explanatory variables, we propose a distributional quantile regression model that combines quantile regression with marginal modelling using the FPLD. Inference is performed using the method of quantiles. The models are fitted to 30 years of daily observations of diurnal temperature range from 112 weather stations in the southern part of Norway. The flexible FPLD shows great promise as a model for diurnal temperature range, and performs well against competing models. The regression model is fitted to diurnal temperature range data using geographic, orographic and climatological explanatory variables. It performs well and captures much of the spatial variation in the distribution of diurnal temperature range in Norway.

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Section: The Methods Of Quantilesmentioning

confidence: 92%

Quantile based modelling of diurnal temperature range with the five-parameter lambda distribution

Vandeskog,

Thorarinsdottir,

Steinsland

et al. 2021

Preprint

View full text Add to dashboard Cite

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“…This method was originally explored by Kao [14]. This method depends on parameter estimation of any distribution on minimized of inverse distribution which represented from the equation (4) as follows:…”

Section: Percentile Estimation Methods (Per)mentioning

confidence: 99%

Estimating the Reliability Function for Transmuted Pareto Distribution Using Simulation

Hasan

Salih

2022

eijs

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In this work, the methods (Moments, Modified Moments, L-Moments, Percentile, Rank Set sampling and Maximum Likelihood) were used to estimate the reliability function and the two parameters of the Transmuted Pareto (TP) distribution. We use simulation to generate the required data from three cases this indicates sample size , and it replicates for the real value for parameters, for reliability times values we take . Results were compared by using mean square error (MSE), the result appears as follows : The best methods are Modified Moments, Maximum likelihood and L-Moments in first case, second case and third case respectively.

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“…4. Percentile Method (PM) (Bhatti et al 2018) The PM estimator for the tail index is given by α = ln 3 ln(P * 75 ) − ln(P * 25 )…”

Section: Overview Of Tail Index Estimation Methodsmentioning

confidence: 99%

Fast Tail Index Estimation for Power Law Distributions in R

Munasinghe,

Kossinna,

Jayasinghe

et al. 2020

Preprint

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Power law distributions, in particular Pareto distributions, describe data across diverse areas of study. We have developed a package in R to estimate the tail index for such datasets focusing on speed (in particular with large datasets), keeping in mind ease of use, as well as accuracy. In this short article, we provide a user guide to our package along with the results obtained highlighting the speed advantages of our package.

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Efficient estimation of Pareto model: Some modified percentile estimators

Cited by 17 publications

References 36 publications

Quantile based modelling of diurnal temperature range with the five-parameter lambda distribution

Quantile based modelling of diurnal temperature range with the five-parameter lambda distribution

Estimating the Reliability Function for Transmuted Pareto Distribution Using Simulation

Fast Tail Index Estimation for Power Law Distributions in R

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