gegenbauer’s polynomials
Recently Published Documents


TOTAL DOCUMENTS

3
(FIVE YEARS 0)

H-INDEX

2
(FIVE YEARS 0)

1984 ◽  
Vol 16 (2) ◽  
pp. 293-323 ◽  
Author(s):  
Leonard Gallardo

Random walks on N associated with orthogonal polynomials have properties similar to classical random walks on . In fact such processes have independent increments with respect to a hypergroup structure on with a convolution and a Fourier transform which is the basic tool for their study. We illustrate these ideas by giving a description of the asymptotic behaviour (CLT and ILL) of the random walks associated with Gegenbauer's polynomials. Moreover we can then use these random walks as a reference scale to deduce asymptotic properties of other Markov chains on via a comparison theorem which is of independent interest.


1984 ◽  
Vol 16 (02) ◽  
pp. 293-323 ◽  
Author(s):  
Leonard Gallardo

Random walks on N associated with orthogonal polynomials have properties similar to classical random walks on. In fact such processes have independent increments with respect to a hypergroup structure onwith a convolution and a Fourier transform which is the basic tool for their study. We illustrate these ideas by giving a description of the asymptotic behaviour (CLT and ILL) of the random walks associated with Gegenbauer's polynomials. Moreover we can then use these random walks as a reference scale to deduce asymptotic properties of other Markov chains onvia a comparison theorem which is of independent interest.


Sign in / Sign up

Export Citation Format

Share Document