Cumulative distribution functions and moments of lattice polynomials
نویسندگان
چکیده
منابع مشابه
Cumulative distribution functions and moments of lattice polynomials
We give the cumulative distribution functions, the expected values, and the moments of lattice polynomials when regarded as real functions. Since lattice polynomial functions include order statistics, our results encompass the corresponding formulas for order statistics.
متن کاملMoments of convex distribution functions
We solve the moment problem for convex distribution functions on [0, 1] in terms of completely alternating sequences. This complements a recent solution of this problem by Diaconis and Freedman, and relates this work to the Lévy-Khintchine formula for the Laplace transform of a subordinator, and to regenerative composition structures.
متن کاملDistribution functions of linear combinations of lattice polynomials from the uniform distribution
We give the distribution functions, the expected values, and the moments of linear combinations of lattice polynomials from the uniform distribution. Linear combinations of lattice polynomials, which include weighted sums, linear combinations of order statistics, and lattice polynomials, are actually those continuous functions that reduce to linear functions on each simplex of the standard tria...
متن کاملCumulative distribution networks: Inference, estimation and applications of graphical models for cumulative distribution functions
Cumulative distribution networks: Inference, estimation and applications of graphical models for cumulative distribution functions Jim C. Huang Doctor of Philosophy Graduate Department of Electrical and Computer Engineering University of Toronto 2009 This thesis presents a class of graphical models for directly representing the joint cumulative distribution function (CDF) of many random variabl...
متن کاملThe weighted lattice polynomials as aggregation functions
In lattice theory, lattice polynomials have been defined as well-formed expressions involving variables linked by the lattice operations ∧ and ∨ in an arbitrary combination of parentheses. In turn, such expressions naturally define lattice polynomial functions. For instance, p(x1, x2, x3) = (x1 ∧ x2) ∨ x3 is a 3-ary lattice polynomial function. The concept of lattice polynomial function can be ...
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: Statistics & Probability Letters
سال: 2006
ISSN: 0167-7152
DOI: 10.1016/j.spl.2006.01.001