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Laws of Large Numbers and Functional Central Limit Theorems for Generalized Semi-Markov Processes
Central limit theorem Discrete-event stochastic systems Generalized semi-Markov processes
2015/7/6
Because of the fundamental role played by generalized semi-Markov processes (GSMPs) in the modeling and analysis of complex discrete-event stochastic systems, it is important to understand the conditi...
On Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related rates of convergence
Marcinkiewicz-Zygmund laws Banach spaces related rates of convergence
2009/9/24
On Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related rates of convergence。
Applications of the weak l(p) exponential inequalities to the laws of large numbers for weighted sums
Applications of the weak l(p) exponential inequalities the laws of large numbers
2009/9/23
Applications of the weak l(p) exponential inequalities to the laws of large numbers for weighted sums。
Laws of large numbers on simply connected step 2-nilpotent Lie groups
Laws of large numbers step 2-nilpotent Lie groups
2009/9/22
The Strong Law of Large Numbers due to Marcinkiewicz
and Zygmund is carried over to simply connected step 2-nilpotent
Lie groups. Moreover, for such groups, we prove analogues of the
classical theo...
Strong laws of large numbers for random permanents
Random permanenf HMding decomposition strong law of large numbers backward martingale
2009/9/21
The strong laws of large numbers for random permanents
of increasing order are derived. The method of proofs relies on
the martingale decomposition of a random permanent function, similar
to the on...
ON THE STRONG LAWS OF LARGE NUMBERS FOR TWO-DIMENSIONAL ARRAYS OF BLOCKWISE INDEPENDENT AND BLOCKWISE ORTHOGONAL RANDOM VARIABLES
Blockwise independent random variables two-dimensional arrays of random variables
2009/9/18
In this paper we obtain the conditions of the strong
law of large numbers for two-dimensional arrays of random variables
which are blockwise independent and blockwise orthogonal. Some
well-known re...
LAWS OF LARGE NUMBERS FOR TWO TAILED PARETO RANDOM VARIABLES
Almost sure convergence weak law of large numbers strong law of large numbers
2009/9/18
We sample m random variables from a two tailed Pareto
distribution. A two tailed Pareto distribution is a random variable whose
right tail is px−2 and whose left tail is qx−2, where p + ...
Laws of large numbers for the occupation time of an age-dependent critical binary branching system
Infinite particle system age-dependent branching occupation times strong laws of large numbers
2009/6/15
Laws of large numbers for the occupation time of an age-dependent critical binary branching system.