scholarly journals Dot Detection of Braille Images Using A Mixture of Beta Distributions

2011 ◽  
Vol 7 (11) ◽  
pp. 1749-1759 ◽  
Author(s):  
Al-Saleh
Keyword(s):  
Biometrika ◽  
1963 ◽  
Vol 50 (3/4) ◽  
pp. 542 ◽  
Author(s):  
G. A. F. Seber

Author(s):  
Kamil Szpojankowski

In the paper we study characterizations of probability measures in free probability. By constancy of regressions for random variable 𝕍1/2(𝕀 - 𝕌)𝕍1/2 given by 𝕍1/2𝕌𝕍1/2, where 𝕌 and 𝕍 are free, we characterize free Poisson and free binomial distributions. Our paper is a free probability analogue of results known in classical probability,3 where gamma and beta distributions are characterized by constancy of 𝔼((V(1 - U))i|UV), for i ∈ {-2, -1, 1, 2}. This paper together with previous results18 exhaust all cases of characterizations from Ref. 3.


2012 ◽  
Vol 41 (5) ◽  
pp. 869-879 ◽  
Author(s):  
Arjun K. Gupta ◽  
Daya K. Nagar
Keyword(s):  

1987 ◽  
Vol R-36 (4) ◽  
pp. 463-466 ◽  
Author(s):  
James B. McDonald ◽  
Dale O. Richards

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