scholarly journals Fisher–Rao geometry and Jeffreys prior for Pareto distribution

2020 ◽  
pp. 1-16
Author(s):  
Mingming Li ◽  
Huafei Sun ◽  
Linyu Peng
Keyword(s):  
Pareto Distribution ◽  
Jeffreys Prior

scholarly journals Bayesian Estimation of Inequality and Poverty Indices in Case of Pareto Distribution Using Different Priors under LINEX Loss Function

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Kamaljit Kaur ◽  
Sangeeta Arora ◽  
Kalpana K. Mahajan
Keyword(s):  
Loss Function ◽  
Pareto Distribution ◽  
Loss Functions ◽  
Conjugate Prior ◽  
Jeffreys Prior ◽  
Linex Loss Function ◽  
Poverty Measure ◽  
Noninformative Priors ◽  
Simulation Techniques ◽  
Linex Loss

Bayesian estimators of Gini index and a Poverty measure are obtained in case of Pareto distribution under censored and complete setup. The said estimators are obtained using two noninformative priors, namely, uniform prior and Jeffreys’ prior, and one conjugate prior under the assumption of Linear Exponential (LINEX) loss function. Using simulation techniques, the relative efficiency of proposed estimators using different priors and loss functions is obtained. The performances of the proposed estimators have been compared on the basis of their simulated risks obtained under LINEX loss function.

Analysis of power law assumptions for short-period comets and Kuiper bodies

1999 ◽  
Vol 173 ◽  
pp. 289-293 ◽  
Author(s):  
J.R. Donnison ◽  
L.I. Pettit
Keyword(s):  
Power Law ◽  
Pareto Distribution ◽  
Limited Data ◽  
Short Period ◽  
Probability Plots ◽  
Exponential Probability

AbstractA Pareto distribution was used to model the magnitude data for short-period comets up to 1988. It was found using exponential probability plots that the brightness did not vary with period and that the cut-off point previously adopted can be supported statistically. Examination of the diameters of Trans-Neptunian bodies showed that a power law does not adequately fit the limited data available.

Estimating parameters Gumbel Pareto Distribution

2018 ◽  
Vol 14 (2) ◽  
pp. 53-60
Author(s):  
Mahdi Wahab Namah Nasrallah ◽  
Keyword(s):  
Pareto Distribution
Sign in / Sign up

Export Citation Format

Share Document