Gamma Distribution

2008 ◽  
pp. 215-216
Keyword(s):  
Gamma Distribution

STRUCTURAL CONNECTIONS AND INTERCHANGEABILITY OF ASYMMETRIC TYPES OF THEORETICAL DISTRIBUTIONS

2020 ◽  
Vol 6 (8(77)) ◽  
pp. 13-17
Author(s):  
Azimkhan Kurmankozhayev ◽  
Elmira Seilbekovna Yesbergenova
Keyword(s):  
Weibull Distribution ◽  
Empirical Analysis ◽  
Gamma Distribution ◽  
Statistical Data ◽  
Distribution Patterns ◽  
Structural Relationships ◽  
Statistical Regularities ◽  
Structural Connections ◽  
Characteristic Features ◽  
Structural Connection

Presented the results of evaluation of structural connection, identity and interchangeability of main asymmetric types of theoretical distributions most often acceptable for assessing the distributions of various indicators in geology and technology. The method of empirical analysis and statistical inference was used with the involvement of nonparametric facts according to the distribution patterns. The analysis of the empirical results of the application of the lognormal, gamma distribution and the Weibull distribution with the involvement of extensive statistical data from literary and research sources is carried out. The characteristic features and statistical regularities of distributions inherent to them are revealed, estimated statistical conclusions are obtained, according to which structural relationships between the functions of the lognormal, gamma and Weibull distributions are revealed. The identity and authenticity of the development of probabilistic frequencies in their application have been established, the complex geometric "image" of asymmetry inherent to these types of distributions is generalized. Structural relationships and interchangeability of asymmetric types of distributions are recommended to increase the reliability and credibility of the estimated choice of distribution in conditions of uncertainty and insignificance of statistical data when solving problems associated with forecasts, technological and computer developments.

Smoothing of stationary random signal in continuous flow mixer with gamma-distribution of residence times

1985 ◽  
Vol 50 (11) ◽  
pp. 2545-2557
Author(s):  
Pavel Hasal ◽  
Vladimír Kudrna ◽  
Jitka Vyhlídková
Keyword(s):  
Theoretical Analysis ◽  
Gamma Distribution ◽  
Continuous Flow ◽  
Random Signal ◽  
Linear Filter ◽  
Residence Times ◽  
Statistical Parameters ◽  
Basic Parameters

The paper is focused on a theoretical analysis of the function of continuous flow mixer with the so-called gamma-distribution of fluid residence times, used as a linear filter smoothing undesirable fluctuations of input properties. A relation is derived expressing the degree of smoothing of the signal passing through the system, as a function of statistical parameters of this signal and of gamma-distribution of fluid-residence times in the mixer. The analysis of this relation leads to conclusions concerning the prediction of the operation of smoothing mixers or the design of their basic parameters.

Performance analysis of multi-hop parallel FSO system over double generalized gamma distribution considering two transmission beams

2021 ◽  
Vol 17 (4) ◽  
pp. 215-220
Author(s):  
Ting Zhang ◽  
Ping Wang ◽  
Tao Liu ◽  
Cheng Jia ◽  
Wei-na Pang ◽  
...  
Keyword(s):  
Performance Analysis ◽  
Gamma Distribution ◽  
Generalized Gamma Distribution ◽  
Generalized Gamma

An investigation of 16-QAM signal transmission over turbulent RoFSO link modeled by gamma–gamma distribution

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Abhishek Tripathi ◽  
Shilpi Gupta ◽  
Abhilash Mandloi ◽  
Gireesh G Soni
Keyword(s):  
Gamma Distribution ◽  
Free Space ◽  
Signal Transmission ◽  
Channel Modeling ◽  
Symbol Error Rate ◽  
Average Error ◽  
60 Ghz ◽  
Free Space Optical ◽  
Error Vector Magnitude ◽  
Space Optical Communication

AbstractThis paper outlines the performance of a 10 Gbit/s rectangular 16-quadrature amplitude modulation–based radio over free space optical communication system. Here, 60 GHz radio frequency–modulated signal is propagated through a 1550-nm free space optical link. The gamma–gamma distribution is used for the channel modeling of weak to strong atmospheric turbulence. The reported constellation plots and eye patterns are attributed to impairment factors in adverse conditions of atmosphere. The evaluation is carried out that the variation in average error vector magnitude in the range of 1.45–1.63% and equivalent symbol error rate of 0.019–0.023 are obtained for a clear atmosphere compared to the turbulent link of 0.2–1 km, respectively.

scholarly journals Ranking the scientific output of researchers in fractional calculus

2019 ◽  
Vol 22 (1) ◽  
pp. 11-26 ◽  
Author(s):  
J. A. Tenreiro Machado ◽  
António M. Lopes
Keyword(s):  
Probability Distribution ◽  
Fractional Calculus ◽  
Multidimensional Scaling ◽  
Gamma Distribution ◽  
Scientific Output ◽  
Second Phase ◽  
Scaling Technique ◽  
3 Dimensional ◽  
Distribution Parameters ◽  
Canberra Distance

Abstract This paper analyses the citation profiles (CP) of 130 researchers in fractional calculus. In a first phase, the Canberra distance is used to measure the similarities between the researchers’ CP, and the multidimensional scaling technique (MDS) is adopted for processing and visualizing the information. In a second phase, the gamma probability distribution is used to fit the normalized CP and the gamma parameters are used to characterize the researchers. The MDS results and the gamma distribution parameters are represented graphically in 2- and 3-dimensional locus depicting the relative positions of the researchers.

On computing multiple change points for the gamma distribution

2020 ◽  
pp. 1-22
Author(s):  
Xun Xiao ◽  
Piao Chen ◽  
Zhisheng Ye ◽  
Kwok-Leung Tsui
Keyword(s):  
Gamma Distribution ◽  
Change Points
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