Uniform limit theorem for densities ofL-statistics

1991 ◽  
Vol 30 (4) ◽  
pp. 331-341
Author(s):  
R. Zitikis
Keyword(s):  
Limit Theorem ◽  
Uniform Limit

A uniform limit theorem for predictive distributions

2002 ◽  
Vol 56 (2) ◽  
pp. 113-120
Author(s):  
Patrizia Berti ◽  
Pietro Rigo
Keyword(s):  
Limit Theorem ◽  
Uniform Limit ◽  
Predictive Distributions

scholarly journals On Fuzzy Modular Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
Yonghong Shen ◽  
Wei Chen
Keyword(s):  
Limit Theorem ◽  
Modular Space ◽  
Topological Properties ◽  
Uniform Limit ◽  
Hausdorff Topology ◽  
Baire’S Theorem ◽  
Modular Spaces

The concept of fuzzy modular space is first proposed in this paper. Afterwards, a Hausdorff topology induced by aβ-homogeneous fuzzy modular is defined and some related topological properties are also examined. And then, several theorems onμ-completeness of the fuzzy modular space are given. Finally, the well-known Baire’s theorem and uniform limit theorem are extended to fuzzy modular spaces.

A uniform limit theorem and exponential limit law for critical multitype age-dependent branching processes

1978 ◽  
Vol 15 (2) ◽  
pp. 235-242 ◽  
Author(s):  
Martin I. Goldstein
Keyword(s):  
Limit Theorem ◽  
Generating Function ◽  
Branching Process ◽  
Branching Processes ◽  
Uniform Limit ◽  
Second Moment ◽  
Age Dependent ◽  
The Mean ◽  
Image Position ◽  
The Right

Let Z(t) ··· (Z1(t), …, Zk (t)) be an indecomposable critical k-type age-dependent branching process with generating function F(s, t). Denote the right and left eigenvalues of the mean matrix M by u and v respectively and suppose μ is the vector of mean lifetimes, i.e. Mu = u, vM = v.It is shown that, under second moment assumptions, uniformly for s ∈ ([0, 1]k of the form s = 1 – cu, c a constant. Here vμ is the componentwise product of the vectors and Q[u] is a constant.This result is then used to give a new proof of the exponential limit law.

A uniform limit theorem and exponential limit law for critical multitype age-dependent branching processes

1978 ◽  
Vol 15 (02) ◽  
pp. 235-242
Author(s):  
Martin I. Goldstein
Keyword(s):  
Limit Theorem ◽  
Generating Function ◽  
Branching Process ◽  
Branching Processes ◽  
Uniform Limit ◽  
Second Moment ◽  
Age Dependent ◽  
The Mean ◽  
Image Position ◽  
The Right

Let Z(t) ··· (Z 1(t), …, Zk (t)) be an indecomposable critical k-type age-dependent branching process with generating function F(s, t). Denote the right and left eigenvalues of the mean matrix M by u and v respectively and suppose μ is the vector of mean lifetimes, i.e. Mu = u, vM = v. It is shown that, under second moment assumptions, uniformly for s ∈ ([0, 1] k of the form s = 1 – cu, c a constant. Here vμ is the componentwise product of the vectors and Q[u] is a constant. This result is then used to give a new proof of the exponential limit law.

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