scholarly journals On probabilistic termination of functional programs with continuous distributions

2021 ◽  
Author(s):  
Raven Beutner ◽  
Luke Ong
Keyword(s):  
Continuous Distributions

Dispersive distributions, and the connection between dispersivity and strong unimodality

1981 ◽  
Vol 18 (01) ◽  
pp. 76-90 ◽  
Author(s):  
Toby Lewis ◽  
J. W. Thompson
Keyword(s):  
Continuous Distributions ◽  
Strong Unimodality

Two continuous distributions, G, H so related that any two quantiles of H are more widely separated than the corresponding quantiles of G may be said to be ‘ordered in dispersion'; Saunders and Moran have given examples. It is shown here that distributions F (called ‘dispersive' distributions) exist, e.g. the exponential, such that if G, H are ordered in dispersion then so also are the convolutions F ∗G, F ∗H. The class of dispersive distributions is determined, and shown to coincide with the class of strongly unimodal distributions.

Comments on "Thermoluminescence and continuous distributions of traps"

1978 ◽  
Vol 18 (10) ◽  
pp. 5900-5902 ◽  
Author(s):  
R. J. Fleming ◽  
L. F. Pender
Keyword(s):  
Continuous Distributions

scholarly journals A Note on Ordering Probability Distributions by Skewness

Symmetry ◽  
2018 ◽  
Vol 10 (7) ◽  
pp. 286
Author(s):  
V. García ◽  
M. Martel-Escobar ◽  
F. Vázquez-Polo
Keyword(s):  
Data Analysis ◽  
Probability Distributions ◽  
Continuous Distributions ◽  
Parameter Values

This paper describes a complementary tool for fitting probabilistic distributions in data analysis. First, we examine the well known bivariate index of skewness and the aggregate skewness function, and then introduce orderings of the skewness of probability distributions. Using an example, we highlight the advantages of this approach and then present results for these orderings in common uniparametric families of continuous distributions, showing that the orderings are well suited to the intuitive conception of skewness and, moreover, that the skewness can be controlled via the parameter values.

Continuous distributions on (0, 1)

2019 ◽  
pp. 115-126
Author(s):  
Robert A. Rigby ◽  
Mikis D. Stasinopoulos ◽  
Gillian Z. Heller ◽  
Fernanda De Bastiani
Keyword(s):  
Continuous Distributions

Skewness and kurtosis comparisons of continuous distributions

2019 ◽  
pp. 311-328
Author(s):  
Robert A. Rigby ◽  
Mikis D. Stasinopoulos ◽  
Gillian Z. Heller ◽  
Fernanda De Bastiani
Keyword(s):  
Continuous Distributions ◽  
Skewness And Kurtosis
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