A characterization of continuous multivariate distributions by conditional expectations

1993 ◽  
Vol 37 (1) ◽  
pp. 13-21 ◽  
Author(s):  
J.M. Ruiz ◽  
J. Marín ◽  
P. Zoroa
Keyword(s):  
Multivariate Distributions ◽  
Conditional Expectations

Some new approaches to probability distributions

1980 ◽  
Vol 12 (04) ◽  
pp. 903-921 ◽  
Author(s):  
S. Kotz ◽  
D. N. Shanbhag
Keyword(s):  
Probability Distributions ◽  
Random Variables ◽  
Representation Theorems ◽  
Practical Applications ◽  
New Approaches ◽  
Characterization Of Distributions ◽  
Stability Theorems ◽  
Conditional Expectations

We develop some approaches to the characterization of distributions of real-valued random variables, useful in practical applications, in terms of conditional expectations and hazard measures. We prove several representation theorems generalizing earlier results, and establish stability theorems for two general characteristics introduced in this paper.

A Lemma on Random Determinants and its Application to the Characterization of Multivariate Distributions

1965 ◽  
Vol 10 (4) ◽  
pp. 685-689 ◽  
Author(s):  
Ts. G. Khakhubiya
Keyword(s):  
Multivariate Distributions

scholarly journals Cytometric fingerprinting: Quantitative characterization of multivariate distributions

2008 ◽  
Vol 73A (5) ◽  
pp. 430-441 ◽  
Author(s):  
Wade T. Rogers ◽  
Allan R. Moser ◽  
Herbert A. Holyst ◽  
Andrew Bantly ◽  
Emile R. Mohler ◽  
...  
Keyword(s):  
Multivariate Distributions ◽  
Quantitative Characterization

scholarly journals Private quantum channels, conditional expectations, and trace vectors

2011 ◽  
Vol 11 (9&10) ◽  
pp. 774-783
Author(s):  
Amber Church ◽  
David W. Kribs ◽  
Rajesh Pereira ◽  
Sarah Plosker
Keyword(s):  
Operator Algebra ◽  
Geometric Characterization ◽  
Quantum Channels ◽  
Single Qubit ◽  
Quantum Analogue ◽  
Conditional Expectations ◽  
Algebra Theory

Private quantum channels are the quantum analogue of the classical one-time pad. Conditional expectations and trace vectors are notions that have been part of operator algebra theory for several decades. We show that the theory of conditional expectations and trace vectors is intimately related to that of private quantum channels. Specifically we give a new geometric characterization of single qubit private quantum channels that relies on trace vectors. We further show that trace vectors completely describe the private states for quantum channels that are themselves conditional expectations. We also discuss several examples.

Characterization of discrete populations through conditional expectations of order statistics

1998 ◽  
Vol 39 (3) ◽  
pp. 249-262 ◽  
Author(s):  
Manuel Franco ◽  
José M. Ruiz
Keyword(s):  
Order Statistics ◽  
Conditional Expectations ◽  
Discrete Populations
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