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Almost sure central limit theorem

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Almost sure central limit theorem

MINISTRY OF EDUCATION AND TRAININGHANOI PEDAGOGICAL UNIVERSITY 2DEPARTMENT OF MATHEMATICSPHAM NGOC QƯYNH HUONGALMOST SURE CENTRAL LIMIT THEOREMBACHELO

Almost sure central limit theorem OR THESISHanoi. 2019MINISTRY O1 EDUCATION AND TRAININGHANOI PEDAGOGICAL UNIVERSITY 2DEPARTMENT DE MATHEMATICSPHAM NGOC QUYN11 HUONGALMOST SURE CENTRAL

LIMIT THEOREMSpeciality: Applied Mat lunaticsBACHELOR THESISSupervisor: PhD. Pham Viet HungHanoi. 2019ConfirmationThis dissertation has been written Almost sure central limit theorem

on the basis of my research project carried at Hanoi Pedagogical University 2, under the supervision of Phi). Pham Viet Hung. The manuscript has never

Almost sure central limit theorem

been published by others.The authorPham Ngoc Quynh HuongAcknowledgmentFirst anti foremost, my heartfelt, goes to my admirable supervisor, Mr. Pham Vi

MINISTRY OF EDUCATION AND TRAININGHANOI PEDAGOGICAL UNIVERSITY 2DEPARTMENT OF MATHEMATICSPHAM NGOC QƯYNH HUONGALMOST SURE CENTRAL LIMIT THEOREMBACHELO

Almost sure central limit theorem e completion of this study would not have been possible without his expert advice, close attention and unswerving guidance.Secondly, I am keen on expr

essing my deep gratitude for my family for encouraging me to continue this thesis. I owe my special thanks to my parents for their emotional anti mate Almost sure central limit theorem

rial sacrifices as well as their understanding and unconditional support.Finally, 1 own my thanks to many people who helped me and encouraged me durin

Almost sure central limit theorem

g my work. My special thanks to Mr. Nguyen Phuong Dong (Hanoi Pedagogical University No.2) for his guidance on drawing up my work. 1 am specially than

MINISTRY OF EDUCATION AND TRAININGHANOI PEDAGOGICAL UNIVERSITY 2DEPARTMENT OF MATHEMATICSPHAM NGOC QƯYNH HUONGALMOST SURE CENTRAL LIMIT THEOREMBACHELO

Almost sure central limit theorem .1.Probability Space .................................................... 31.2.Random Variables......................................................

41.2.1.Definition..................................................... 41.2.2.Distribution functions.................................. 41.2.3.Expectat Almost sure central limit theorem

ion.................................................... 61.2.4.Variance....................................................... 81.2.5.Examples........

Almost sure central limit theorem

............................................... 91.2.6.Some inequalities............................................. 13

MINISTRY OF EDUCATION AND TRAININGHANOI PEDAGOGICAL UNIVERSITY 2DEPARTMENT OF MATHEMATICSPHAM NGOC QƯYNH HUONGALMOST SURE CENTRAL LIMIT THEOREMBACHELO

MINISTRY OF EDUCATION AND TRAININGHANOI PEDAGOGICAL UNIVERSITY 2DEPARTMENT OF MATHEMATICSPHAM NGOC QƯYNH HUONGALMOST SURE CENTRAL LIMIT THEOREMBACHELO

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