Asymptotic properties of recurrent random sequences

1997 ◽  
pp. 363-416
Author(s):  
Valery Buldygin ◽  
Serguei Solntsev
Keyword(s):  
Asymptotic Properties ◽  
Random Sequences

Asymptotic properties of a certain class of Bush–Mosteller learning models

1980 ◽  
Vol 12 (4) ◽  
pp. 922-941
Author(s):  
Peter Findeisen
Keyword(s):  
Necessary Conditions ◽  
Asymptotic Properties ◽  
Response Sequence ◽  
Positive Probability ◽  
Learning Models ◽  
Random Sequences ◽  
Learning Experiment ◽  
Sufficient And Necessary Conditions

One general and three specialized models of the Bush–Mosteller type are presented to describe the kind of learning experiment where the response of the learner is always reinforced. Inhomogeneity is admitted. The random sequences of response probabilities and of responses associated with the different models are considered. Information about the existence and the distribution of asymptotic response probabilities is provided. The stress is on sufficient and necessary conditions for convergence (a.s. or with positive probability) of the response sequence, which is what ‘learning' means.

On asymptotic properties of estimators stationary gaussian random sequences

1984 ◽  
Vol 15 (2) ◽  
pp. 249-262 ◽  
Author(s):  
Wiltrud Mühleis
Keyword(s):  
Asymptotic Properties ◽  
Random Sequences

Asymptotic properties of Markov-modulated random sequences with fast and slow timescales

Stochastics ◽  
2010 ◽  
Vol 82 (5) ◽  
pp. 445-474 ◽  
Author(s):  
Son Luu Nguyen ◽  
G. Yin
Keyword(s):  
Asymptotic Properties ◽  
Random Sequences ◽  
Markov Modulated

Asymptotic properties of a certain class of Bush–Mosteller learning models

1980 ◽  
Vol 12 (04) ◽  
pp. 922-941
Author(s):  
Peter Findeisen
Keyword(s):  
Necessary Conditions ◽  
Asymptotic Properties ◽  
Response Sequence ◽  
Positive Probability ◽  
Learning Models ◽  
Random Sequences ◽  
Learning Experiment ◽  
Sufficient And Necessary Conditions

One general and three specialized models of the Bush–Mosteller type are presented to describe the kind of learning experiment where the response of the learner is always reinforced. Inhomogeneity is admitted. The random sequences of response probabilities and of responses associated with the different models are considered. Information about the existence and the distribution of asymptotic response probabilities is provided. The stress is on sufficient and necessary conditions for convergence (a.s. or with positive probability) of the response sequence, which is what ‘learning' means.

Asymptotic Properties of Sample Proportions under a Markovian Renewal Structure

1973 ◽  
Vol 2 (2) ◽  
pp. 167-184
Author(s):  
R. L. Scheaffer
Keyword(s):  
Asymptotic Properties

Choosing a Good Toolkit, I: Formulation, Heuristics, and Asymptotic Properties

2016 ◽  
Author(s):  
Alejandro Francetich ◽  
David M. Kreps
Keyword(s):  
Asymptotic Properties
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