scholarly journals Estimating the Parameters of a Tapered Pareto Distribution

2021 ◽  
Vol 82 (8) ◽  
pp. 1358-1377
Author(s):  
M. Vaičiulis ◽  
N. M. Markovich
Keyword(s):  
Pareto Distribution ◽  
Tapered Pareto Distribution ◽  
Tapered Pareto

scholarly journals Estimation of the upper cutoff parameter for the tapered Pareto distribution

2001 ◽  
Vol 38 (A) ◽  
pp. 158-175 ◽  
Author(s):  
Y. Y. Kagan ◽  
F. Schoenberg
Keyword(s):  
Maximum Likelihood ◽  
Pareto Distribution ◽  
Generalized Pareto Distribution ◽  
Maximum Likelihood Estimates ◽  
Cutoff Parameter ◽  
Generalized Pareto ◽  
Tapered Pareto Distribution ◽  
Tapered Pareto

The tapered (or generalized) Pareto distribution, also called the modified Gutenberg-Richter law, has been used to model the sizes of earthquakes. Unfortunately, maximum likelihood estimates of the cutoff parameter are substantially biased. Alternative estimates for the cutoff parameter are presented, and their properties discussed.

scholarly journals Estimation of the upper cutoff parameter for the tapered Pareto distribution

2001 ◽  
Vol 38 (A) ◽  
pp. 158-175 ◽  
Author(s):  
Y. Y. Kagan ◽  
F. Schoenberg
Keyword(s):  
Maximum Likelihood ◽  
Pareto Distribution ◽  
Generalized Pareto Distribution ◽  
Maximum Likelihood Estimates ◽  
Cutoff Parameter ◽  
Generalized Pareto ◽  
Tapered Pareto Distribution ◽  
Tapered Pareto

The tapered (or generalized) Pareto distribution, also called the modified Gutenberg-Richter law, has been used to model the sizes of earthquakes. Unfortunately, maximum likelihood estimates of the cutoff parameter are substantially biased. Alternative estimates for the cutoff parameter are presented, and their properties discussed.

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
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