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 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.
Law of large numbers - Wikipedia
Web1 de dez. de 2011 · The strong law of large numbers of the form (1.1) will be established in Section 3. As special cases of our results, the results of Jajte [3], Jing and Liang [4], Meng and Lin [5], and Wang [6] can be obtained. 2. Integral representation for series. Let F be the distribution function of a random variable X. Web1 de abr. de 2013 · The main results of this paper are the following theorems. Theorem 3.3 The Strong Law of Large Numbers I. Let X 1, X 2, … be identically distributed non … hoverfish subnautica plush
On a Feller–Jajte strong law of large numbers
WebThe strong law of large numbers. The mathematical relation between these two experiments was recognized in 1909 by the French mathematician Émile Borel, who … 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 abr. de 2024 · The Aam Aadmi Party has criticised this order and used it to start a ‘ degree dikhao /show your degree’ campaign wherein it is asking the ruling Bhartiya Janta Party government to disclose the Prime Minister’s educational degrees. Chief Minister of Delhi Arvind Kejriwal has gone ahead and questioned whether an uneducated PM … how many grams in 1/2 tsp