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Convergence of Moments of Random Sums of Independent Random Variables
Theory of Probability & Its Applications, 1986Translation from Teor. Veroyatn. Primen. 30, No.2, 361-364 (Russian) (1985; Zbl 0572.60034).
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Convergence of Sequences of Random Variables
1989It has been seen that the inclusion of the ideal points creates worrisome details in measurability; we will be mollifying this somewhat. In this lesson and the next, we combine properties of measurable functions and sequences of real numbers; we include some specific results which will be needed later but we do not include all the interesting facts ...
Hung T. Nguyen, Gerald S. Rogers
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Weak Convergence of Randomly Indexed Sequences of Random Variables
Journal of Mathematical Sciences, 2001This paper presents some general results for randomly indexed sequences of the form \(\{Y_{N_n}, n\geq 1\}\) in the case where no assumption concerning the interindependence between the random indices \(\{N_n,n\geq 1\}\) and random variables \(\{Y_n,n\geq 1\}\) is made.
Gajowiak, I., Rychlik, Z.
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Convergence of Random Variables
1993In this chapter, we develop the tools needed to describe and apply convergence of sequences of random variables. Almost sure convergence, because of its relationship to pointwise convergence, and convergence in distribution, because of its being the easiest to establish, are the most important and useful.
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Convergence of Random Variables
2004The most important aspect of probability theory concerns the behavior of sequences of random variables. This part of probability is called large sample theory, or limit theory, or asymptotic theory. The basic question is this: what can we say about the limiting behavior of a sequence of random variables X1, X2, X3,...?
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Convergence of products of independent random variables
Journal of Soviet Mathematics, 1986See the review in Zbl 0569.60033.
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On Complete Convergence of Dominated Random Variables
Iranian Journal of Science and Technology, Transactions A: Science, 2018In this paper, we present some general results concerning complete convergence for arrays of dependent random variables, dominated in a sense by independent random variables. As an application, we obtain the Baum–Katz-type theorem for arrays of some class of dependent random variables.
Habib Naderi +2 more
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Complete Convergences of Rowwise NA Sequences of Random Variables
Calcutta Statistical Association Bulletin, 2007Abstract: In this paper, we study the complete convergences and strong law of large numbers of rowwise NA sequences of random variables. The results obtained not only generalize the results of Hu (1998, Statist. Probab. Lett. 38, 27 – 31) and Sung (2005. Stntist. Probab. Lett. 71, 303 – 311 ) to NA sequence, but also improve them. AMS (2000) Subject
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Convergence of information, random variables and noise
Journal of Mathematical Economics, 1987Random variables such as state-dependent prices often convey information while entering directly into a decision environment. To understand the convergence properties of behavior based on such random variables, the function mapping any random variable to the information it generates is examined.
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Noble-Metal Based Random Alloy and Intermetallic Nanocrystals: Syntheses and Applications
Chemical Reviews, 2021Ming Zhou, Can Li, Jiye Fang
exaly