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Joint distributions, the uncertainty principle and positive distributions

Mathematical Structures in Computer Science, 2014
We examine the construction of joint probabilities for non-commuting observables. We show that there are indications in standard quantum mechanics that imply the existence of conditional expectation values, which in turn implies the existence of a joint distribution.
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Joint Probability Distributions

2011
In Chapters 3 and 4, we studied probability models for a single random variable. Many problems in probability and statistics lead to models involving several random variables simultaneously. In this chapter, we first discuss probability models for the joint behavior of several random variables, putting special emphasis on the case in which the ...
Jay L. Devore, Kenneth N. Berk
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Joint Distributions: Continuous

1989
In Lesson 4, Part II, we saw traditional examples of continuous CDFs for one real valued random variable restricted to those cases for which the CDF was the Riemann integral of its PDF. Extending this fundamental theorem of integral calculus to Lebesgue integration involves a long array of details which we leave to such texts.
Hung T. Nguyen, Gerald S. Rogers
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On the Joint Distribution of Observables

Foundations of Physics, 2000
A general algebraic system M is considered with two binary operations. The family of all measurable functions with values in the unit interval is a motivating example. A state is a morphism from M to the unit interval, an observable is a morphism from the family of Borel sets to M. A joint distribution of two observables is constructed.
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Applications of Joint Distributions

2003
This Chapter presents two applications of joint fuzzy probability distributions discussed in Chapter 10. In the next section we have an application of a joint fuzzy discrete probability distribution followed by a discussion of fuzzy reliability theory which is an application of joint fuzzy continuous probability distribution.
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The new (Version 9) American Joint Committee on Cancer tumor, node, metastasis staging for cervical cancer

Ca-A Cancer Journal for Clinicians, 2021
Alexander B. Olawaiye, David G Mutch, M Kay Washington   +2 more
exaly  

Survival outcomes used to validate version 9 of the American Joint Committee on Cancer staging system for appendiceal cancer

Ca-A Cancer Journal for Clinicians, 2023
Elliot A Asare, Norman J Carr
exaly  

Survival outcomes used to generate version 9 American Joint Committee on Cancer staging system for anal cancer

Ca-A Cancer Journal for Clinicians, 2023
Elliot A Asare
exaly  

Continuous Joint Distributions

1993
The joint distribution of a pair of random variables X and Y is the probability distribution over the plane defined by $$P\left( B \right) = P\left( {\left( {X,Y} \right) \in B} \right)$$ for subsets B of the plane. So P(B) is the probability that the random pair (X, Y) falls in the set B.
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Joint distributions

2019
Joseph K. Blitzstein, Jessica Hwang
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