scholarly journals Weak Convergence of Probability Measures on the Function Space $C\lbrack 0, \infty)$

1970 ◽  
Vol 41 (3) ◽  
pp. 939-944 ◽  
Author(s):  
Ward Whitt
Keyword(s):  
Weak Convergence ◽  
Function Space ◽  
Probability Measures ◽  
Convergence Of Probability Measures

Weak convergence of probability measures and random functions in the function space D[0,∞)

1973 ◽  
Vol 10 (1) ◽  
pp. 109-121 ◽  
Author(s):  
Torgny Lindvall
Keyword(s):  
Weak Convergence ◽  
Function Space ◽  
Probability Measures ◽  
Applied Probability ◽  
Random Functions ◽  
Convergence Of Probability Measures ◽  
Suitable Space

This paper extends the theory of weak convergence of probability measures and random functions in the function space D[0,1] to the case D [0,∞), elaborating ideas of C. Stone and W. Whitt. 7)[0,∞) is a suitable space for the analysis of many processes appearing in applied probability.

Weak convergence of probability measures and random functions in the function space D[0,∞)

1973 ◽  
Vol 10 (01) ◽  
pp. 109-121 ◽  
Author(s):  
Torgny Lindvall
Keyword(s):  
Weak Convergence ◽  
Function Space ◽  
Probability Measures ◽  
Applied Probability ◽  
Random Functions ◽  
Convergence Of Probability Measures ◽  
Suitable Space

This paper extends the theory of weak convergence of probability measures and random functions in the function space D[0,1] to the case D [0,∞), elaborating ideas of C. Stone and W. Whitt. 7)[0,∞) is a suitable space for the analysis of many processes appearing in applied probability.

scholarly journals Value-distribution of twisted L-functions of normalized cusp forms

2010 ◽  
Vol 51 ◽  
Author(s):  
Alesia Kolupayeva
Keyword(s):  
Limit Theorem ◽  
Weak Convergence ◽  
Complex Plane ◽  
Dirichlet Character ◽  
Value Distribution ◽  
Cusp Forms ◽  
Probability Measures ◽  
Convergence Of Probability Measures

A limit theorem in the sense of weak convergence of probability measures on the complex plane for twisted with Dirichlet character L-functions of holomorphic normalized Hecke eigen cusp forms with an increasing modulus of the character is proved.

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