On the jajte strong law of large numbers
Web1 de abr. de 2024 · Let {Xn, n ≥ 1} be a sequence of negatively superadditive dependent random variables. In the paper, we study the strong law of large numbers for general … WebA version of the SLLN for a large class of means is proved. Citation Download Citation. Ryszard Jajte. "On the strong law of large numbers."
On the jajte strong law of large numbers
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WebON THE STRONG LAW OF LARGE NUMBERS BY RYSZARD JAJTE University of Łód´z A version of the SLLN for a large class of means is proved. The result presented in this paper is closely related to two classical theo-rems. Namely, it links in some sense the SLLN of Kolmogorov and that of Marcinkiewicz. WebThe main result of Jajte is as follows. Theorem1.1. Letg · beapositive,increasingfunctionand h · apositivefunctionsuchthatφ y ≡ g y h y satisfies the following conditions. 1 For some d≥0, φ · is strictly increasing on d, ∞ with range 0, ∞. 2 There exist C and a positive integer k 0 such that φ y 1 /φ y ≤C, y≥k 0.
Web19 de dez. de 2015 · approach to the weigh ted law of large num bers follow the idea of Jajte [9] and we extend his result to the case of certain dependent sequences. Let us … WebWeak Law of Large Numbers. There are two forms of the law of large numbers, but the differences are primarily theoretical. The weak and strong laws of large numbers both …
Web30 de nov. de 2024 · Abstract. In this paper, we prove an extension of the Jajte weak law of large numbers for exchangeable random variables. We make a simulation to illustrate the asymptotic behavior in the sense of convergence in probability for weighted sums of exchangeable weighted random variables. WebThe strong law of large numbers. The mathematical relation between these two experiments was recognized in 1909 by the French mathematician Émile Borel, who used the then new ideas of measure theory to give a precise mathematical model and to formulate what is now called the strong law of large numbers for fair coin tossing. His …
Web12 de dez. de 2024 · We investigate the asymptotic behavior of a large class of summability methods introduced by Jajte. Using martingale tools, we prove strong laws of large …
Web12 de jan. de 2024 · In this paper, we extend Kolmogorov–Feller weak law of large numbers for maximal weighted sums of negatively superadditive dependent (NSD) random variables. In addition, we make a simulation study for the asymptotic behavior in the sense of convergence in probability for weighted sums of NSD random variables. Résumé. … can hiatal hernia cause weight lossWeb12 de dez. de 2024 · In this paper, we establish a weak law of large numbers for a class of weighted sums of random variables introduced by Jajte (2003 Jajte, R. 2003. On the … fit for the task crosswordWebStrong Law of Large Number. The strong law of large numbers states that with probability 1 the sequence of sample means S¯n converges to a constant value μX, which is the population mean of the random variables, as n becomes very large. From: Fundamentals of Applied Probability and Random Processes (Second Edition), 2014. fit for the purpose 契約書Web3 de jan. de 2013 · In the paper, we study the strong law of large numbers for general weighted sums of asymptotically almost negatively associated random variables (AANA, in short) with non-identical distribution. As an application, the Marcinkiewicz strong law of large numbers for AANA random variables is obtained. In addition, we present … can hiatal hernia go awayWebThe strong law of large numbers. The mathematical relation between these two experiments was recognized in 1909 by the French mathematician Émile Borel, who … can hiatal hernia get worseWebBorel's law of large numbers, named after Émile Borel, states that if an experiment is repeated a large number of times, independently under identical conditions, then the … can hiatal hernia cure itselfWebDownloadable (with restrictions)! We investigate the asymptotic behavior of a large class of summability methods introduced by Jajte. Using martingale tools, we prove strong laws of large numbers for a family of random variables whose tails of distributions are subject to some restrictions. Our results complement those of Naderi et al. (Communications in … can hiatal hernia heal