On the proper treatment of improper distributions
نویسندگان
چکیده
منابع مشابه
Proper and Improper Separability
The distinction between proper and improper mixtures is a staple of the discussion of foundational questions in quantum mechanics. Here we note an analogous distinction in the context of the theory of entanglement. The terminology of ‘proper’ versus ‘improper’ separability is proposed to mark the distinction. 1 Proper and Improper mixtures In many discussions of the measurement problem in quant...
متن کاملProper and improper multiple imputation
Multiple imputation has become viewed as a general solution to missing data problems in statistics. However, in order to lead to consistent asymptotically normal estimators, correct variance estimators and valid tests, the imputations must be proper. So far it seems that only Bayesian multiple imputation, i.e. using a Bayesian predictive distribution to generate the imputations, or approximatel...
متن کاملImproper Regular Conditional Distributions
At the bottom of page 1614, we are not precise in the definition of a Borel space. The condition should have read that there is a one-to-one measurable function with measurable inverse between (Ω,B) and (E,E), where E is a Borel subset of the reals and E is the Borel σ-field of subsets of E. After the remaining corrections below, our use of the term “Borel space” conforms with this definition. ...
متن کاملMultiplication Distributivity of Proper and Improper Intervals
The arithmetic on an extended set of proper and improper intervals presents algebraic completion of the conventional interval arithmetic allowing thus efficient solution of some interval algebraic problems. In this paper we summarize and present all distributive relations, known by now, on multiplication and addition of generalized (proper and improper) intervals.
متن کاملThree-Dimensional Proper and Improper Rotation Matrices
A real orthogonal matrix R is a matrix whose elements are real numbers and satisfies R−1 = R (or equivalently, RR = I, where I is the 3 × 3 identity matrix). Taking the determinant of the equation RR = I and using the fact that det(R) = det R, it follows that (det R) = 1, which implies that either detR = 1 or detR = −1. A real orthogonal matrix with detR = 1 provides a matrix representation of ...
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 Statistical Planning and Inference
سال: 2018
ISSN: 0378-3758
DOI: 10.1016/j.jspi.2017.09.008