Extremal distributions under approximate majorization
نویسندگان
چکیده
منابع مشابه
Majorization properties of generalized thermal distributions
We examine the majorization properties of general thermal-like mixed states depending on a set of parameters. Sufficient conditions which ensure the increase in mixedness, and hence of any associated entropic form, when these parameters are varied, are identified. We then discuss those exhibiting a power law distribution, showing that they can be characterized by two distinct mixing parameters,...
متن کامل1 Football goal distributions and extremal statistics
We analyse the distributions of the number of goals scored by home teams, away teams, and the total scored in the match, in domestic football games from 169 countries between 1999 and 2001. The probability density functions (PDFs) of goals scored cannot be fitted over their entire ranges by Poisson or negative binomial distributions; here, we compare the PDFs with those arising from extremal st...
متن کاملExtremal distributions for tail probabilities of sums
Two old conjectures from problem sections, one of which from SIAM Review, concern the question of finding distributions that maximize P(Sn ≤ t), where Sn is the sum of i.i.d. random variables X1, . . . , Xn on the interval [0, 1], satisfying E [X1] = m. In this paper a Lagrange multiplier technique is applied to this problem, yielding necessary conditions for distributions to be extremal, for a...
متن کاملExtremal problems under dimension constraints
The aim of this paper is to systematically present an area of extremal problems under dimension constraints. We state conjectures and solutions for many of these problems. Proofs will be given in several papers, each devoted to a specific problem.
متن کاملMetadata of the chapter that will be visualized online
This paper presents majorization results for PH-generators. Based on the majorization results, bounds on the moments and Laplace-Stieltjes transforms of phase-type distributions are found. Exponential distributions and Coxian distributions are identified to be extremal PH-distributions with respect to all the moments and Laplace-Stieltjes transforms for certain subsets of PH-distributions. UN C...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2018
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aac87c