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National Repository of Grey Literature 4 records found  Search took 0.00 seconds. 
Proofs of the strong law of large numbers
 Odintsov, Kirill ; Štěpán, Josef (advisor) ; Staněk, Jakub (referee)
This thesis concentrates on the Strong Law of Large Numbers. It features two proofs of this law. The first is less general, but simpler Borel's proof. The second one is more complex. It uses Kronecker's lemma and Kolmogorov-Khinchin's theorem, which is proven by Kolmogorov's inequality. The text includes all the necessary auxiliary theorems and lemmas along with their proofs. Since all the proofs are explored in a great detail this text is suitable for readers with only basic knowledge of probability theory and measure theory. Furthermore it contains numerous practical and mathematical examples thought out the whole text. Finally to demonstrate the importance of Strong Law of Large Numbers the text features four important applications of the law in mathematics.
Detailed record
Proofs of the strong law of large numbers
 Odintsov, Kirill ; Štěpán, Josef (advisor) ; Staněk, Jakub (referee)
This thesis concentrates on the Strong Law of Large Numbers. It features two proofs of this law. The first is less general, but simpler Borel's proof. The second one is more complex. It uses Kronecker's lemma and Kolmogorov-Khinchin's theorem, which is proven by Kolmogorov's inequality. The text includes all the necessary auxiliary theorems and lemmas along with their proofs. Since all the proofs are explored in a great detail this text is suitable for readers with only basic knowledge of probability theory and measure theory. Furthermore it contains numerous practical and mathematical examples thought out the whole text. Finally to demonstrate the importance of Strong Law of Large Numbers the text features four important applications of the law in mathematics.
Detailed record
Some Remarks on Philosophical Aspects of the Laws of Large Numbers
 Kramosil, Ivan
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Strong Law of Large Numbers for Set-Valued Random Variables
 Kramosil, Ivan
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