Further Development of New Methods for Estimating Tail Probabilities and Extreme Value Distributions.

1981 ◽  
Author(s):  
L. Breiman ◽  
C. J. Stone ◽  
J. D. Gins
Keyword(s):  
Extreme Value ◽  
Extreme Value Distributions ◽  
Tail Probabilities ◽  
New Methods ◽  
Further Development

scholarly journals Baseline Methods for Bayesian Inference in Gumbel Distribution

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1267
Author(s):  
Jacinto Martín ◽  
María Isabel Parra ◽  
Mario Martínez Pizarro ◽  
Eva L. Sanjuán
Keyword(s):  
Gumbel Distribution ◽  
Extreme Value ◽  
Estimation Methods ◽  
Extreme Value Distributions ◽  
Distribution Method ◽  
New Methods ◽  
Initial Idea ◽  
Block Maxima ◽  
Extreme Distribution ◽  
Baseline Values

Usual estimation methods for the parameters of extreme value distributions only employ a small part of the observation values. When block maxima values are considered, many data are discarded, and therefore a lot of information is wasted. We develop a model to seize the whole data available in an extreme value framework. The key is to take advantage of the existing relation between the baseline parameters and the parameters of the block maxima distribution. We propose two methods to perform Bayesian estimation. Baseline distribution method (BDM) consists in computing estimations for the baseline parameters with all the data, and then making a transformation to compute estimations for the block maxima parameters. Improved baseline method (IBDM) is a refinement of the initial idea, with the aim of assigning more importance to the block maxima data than to the baseline values, performed by applying BDM to develop an improved prior distribution. We compare empirically these new methods with the Standard Bayesian analysis with non-informative prior, considering three baseline distributions that lead to a Gumbel extreme distribution, namely Gumbel, Exponential and Normal, by a broad simulation study.

Cartographic production in Russia: main stages and trends

2020 ◽  
Vol 963 (9) ◽  
pp. 30-43
Author(s):  
M.Yu. Orlov
Keyword(s):  
Chronological Order ◽  
Xviii Century ◽  
New Methods ◽  
Current State ◽  
Factors Influencing ◽  
The Future ◽  
History Of ◽  
State Enterprises ◽  
Further Development

Studying the current state of cartography and ways of further developing the industry, the role of the map in the future of the society, new methods of promoting cartographic products is impossible without a deep scientific analyzing all the paths, events and factors influencing its formation and development throughout all the historic steps of cartographic production in Russia. In the article, the history of cartographic production in Russia is considered together with the development of private, state and military cartography, since, despite some differences, they have a common technical, technological and production basis. The author describes the stages of originating, formation and growth of industrial cartographic production from the beginning of the XVIII century until now. The connection between the change of political formations and technological structures with the mentioned stages of maps and atlases production is considered. Each stage is studied in detail, a step-by-step analysis was carried out, and the characteristics of each stage are described. All the events and facts are given in chronological order, highlighting especially significant moments influencing the evolution of cartographic production. The data on the volumes of printing and sales of atlases and maps by commercial and state enterprises are presented. The main trends and lines of further development of cartographic production in Russia are studied.

Sign in / Sign up

Export Citation Format

Share Document